/* 	Copyright (c) [2020]-[2021] Ittiam Systems Pvt. Ltd.
   All rights reserved.

   Redistribution and use in source and binary forms, with or without
   modification, are permitted (subject to the limitations in the
   disclaimer below) provided that the following conditions are met:
   •	Redistributions of source code must retain the above copyright
   notice, this list of conditions and the following disclaimer.
   •	Redistributions in binary form must reproduce the above copyright
   notice, this list of conditions and the following disclaimer in the
   documentation and/or other materials provided with the distribution.
   •	Neither the names of Dolby Laboratories, Inc. (or its affiliates),
   Ittiam Systems Pvt. Ltd. nor the names of its contributors may be used
   to endorse or promote products derived from this software without
   specific prior written permission.

   NO EXPRESS OR IMPLIED LICENSES TO ANY PARTY'S PATENT RIGHTS ARE GRANTED
   BY THIS LICENSE. YOUR USE OF THE SOFTWARE MAY REQUIRE ADDITIONAL PATENT
   LICENSE(S) BY THIRD PARTIES, INCLUDING, WITHOUT LIMITATION, DOLBY
   LABORATORIES, INC. OR ANY OF ITS AFFILIATES. THIS SOFTWARE IS PROVIDED
   BY ITTIAM SYSTEMS LTD. AND ITS CONTRIBUTORS "AS IS" AND ANY EXPRESS OR
   IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
   OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
   IN NO EVENT SHALL ITTIAM SYSTEMS LTD OR ITS CONTRIBUTORS BE LIABLE FOR
   ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
   DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
   OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
   HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
   STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING
   IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
   POSSIBILITY OF SUCH DAMAGE.
---------------------------------------------------------------
*/

#include <impeghd_type_def.h>

#include "impeghd_hoa_common_values.h"
#include "impeghd_hoa_rom.h"

/**
 * @defgroup HOAROM HOA ROM Tables
 * @ingroup  HOAROM
 * @brief HOA ROM Tables
 *
 * @{
 */

const FLOAT32 ia_hoa_beta_value_table[5] = {1000, 1000, 100, 100, 50};

const FLOAT32 ia_hoa_3d_mix_ren_win_ord_0[1] = {
    1.000000f,
};
const FLOAT32 ia_hoa_3d_mix_ren_win_ord_1[4] = {
    1.000000f, 0.557400f, 0.557400f, 0.557400f,
};
const FLOAT32 ia_hoa_3d_mix_ren_win_ord_2[9] = {
    1.000000f, 0.774600f, 0.774600f, 0.774600f, 0.400008f,
    0.400008f, 0.400008f, 0.400008f, 0.400008f,
};
const FLOAT32 ia_hoa_3d_mix_ren_win_ord_3[16] = {
    1.000000f, 0.861100f, 0.861100f, 0.861100f, 0.612240f, 0.612240f, 0.612240f, 0.612240f,
    0.612240f, 0.304600f, 0.304600f, 0.304600f, 0.304600f, 0.304600f, 0.304600f, 0.304600f,
};
const FLOAT32 ia_hoa_3d_mix_ren_win_ord_4[25] = {
    1.000000f, 0.906200f, 0.906200f, 0.906200f, 0.731798f, 0.731798f, 0.731798f,
    0.731798f, 0.731798f, 0.501125f, 0.501125f, 0.501125f, 0.501125f, 0.501125f,
    0.501125f, 0.501125f, 0.245861f, 0.245861f, 0.245861f, 0.245861f, 0.245861f,
    0.245861f, 0.245861f, 0.245861f, 0.245861f,
};
const FLOAT32 ia_hoa_3d_mix_ren_win_ord_5[36] = {
    1.000000f, 0.932500f, 0.932500f, 0.932500f, 0.804334f, 0.804334f, 0.804334f, 0.804334f,
    0.804334f, 0.628403f, 0.628403f, 0.628403f, 0.628403f, 0.628403f, 0.628403f, 0.628403f,
    0.422225f, 0.422225f, 0.422225f, 0.422225f, 0.422225f, 0.422225f, 0.422225f, 0.422225f,
    0.422225f, 0.205981f, 0.205981f, 0.205981f, 0.205981f, 0.205981f, 0.205981f, 0.205981f,
    0.205981f, 0.205981f, 0.205981f, 0.205981f,
};
const FLOAT32 ia_hoa_3d_mix_ren_win_ord_6[49] = {
    1.000000f, 0.949100f, 0.949100f, 0.949100f, 0.851186f, 0.851186f, 0.851186f,
    0.851186f, 0.851186f, 0.713701f, 0.713701f, 0.713701f, 0.713701f, 0.713701f,
    0.713701f, 0.713701f, 0.547015f, 0.547015f, 0.547015f, 0.547015f, 0.547015f,
    0.547015f, 0.547015f, 0.547015f, 0.547015f, 0.363548f, 0.363548f, 0.363548f,
    0.363548f, 0.363548f, 0.363548f, 0.363548f, 0.363548f, 0.363548f, 0.363548f,
    0.363548f, 0.176734f, 0.176734f, 0.176734f, 0.176734f, 0.176734f, 0.176734f,
    0.176734f, 0.176734f, 0.176734f, 0.176734f, 0.176734f, 0.176734f, 0.176734f,
};

const FLOAT32 *ia_hoa_3d_mix_ren_win_tbl[7] = {
    &ia_hoa_3d_mix_ren_win_ord_0[0], &ia_hoa_3d_mix_ren_win_ord_1[0],
    &ia_hoa_3d_mix_ren_win_ord_2[0], &ia_hoa_3d_mix_ren_win_ord_3[0],
    &ia_hoa_3d_mix_ren_win_ord_4[0], &ia_hoa_3d_mix_ren_win_ord_5[0],
    &ia_hoa_3d_mix_ren_win_ord_6[0]};

const FLOAT32 ia_hoa_kaiser_win_ord_0[1] = {
    0.0f,
};
const FLOAT32 ia_hoa_kaiser_win_ord_1[4] = {
    1.000000f, 0.438676f, 0.438676f, 0.438676f,
};
const FLOAT32 ia_hoa_kaiser_win_ord_2[9] = {
    1.000000f, 0.726926f, 0.726926f, 0.726926f, 0.204885f,
    0.204885f, 0.204885f, 0.204885f, 0.204885f,
};
const FLOAT32 ia_hoa_kaiser_win_ord_3[16] = {
    1.000000f, 0.821609f, 0.821609f, 0.821609f, 0.425411f, 0.425411f, 0.425411f, 0.425411f,
    0.425411f, 0.088481f, 0.088481f, 0.088481f, 0.088481f, 0.088481f, 0.088481f, 0.088481f,
};
const FLOAT32 ia_hoa_kaiser_win_ord_4[25] = {
    1.000000f, 0.868017f, 0.868017f, 0.868017f, 0.552852f, 0.552852f, 0.552852f,
    0.552852f, 0.552852f, 0.230544f, 0.230544f, 0.230544f, 0.230544f, 0.230544f,
    0.230544f, 0.230544f, 0.036711f, 0.036711f, 0.036711f, 0.036711f, 0.036711f,
    0.036711f, 0.036711f, 0.036711f, 0.036711f,
};
const FLOAT32 ia_hoa_kaiser_win_ord_5[36] = {
    1.000000f, 0.895400f, 0.895400f, 0.895400f, 0.634490f, 0.634490f, 0.634490f, 0.634490f,
    0.634490f, 0.339018f, 0.339018f, 0.339018f, 0.339018f, 0.339018f, 0.339018f, 0.339018f,
    0.119398f, 0.119398f, 0.119398f, 0.119398f, 0.119398f, 0.119398f, 0.119398f, 0.119398f,
    0.119398f, 0.014873f, 0.014873f, 0.014873f, 0.014873f, 0.014873f, 0.014873f, 0.014873f,
    0.014873f, 0.014873f, 0.014873f, 0.014873f,
};
const FLOAT32 ia_hoa_kaiser_win_ord_6[49] = {
    1.000000f, 0.913418f, 0.913418f, 0.913418f, 0.691017f, 0.691017f, 0.691017f,
    0.691017f, 0.691017f, 0.422085f, 0.422085f, 0.422085f, 0.422085f, 0.422085f,
    0.422085f, 0.422085f, 0.196327f, 0.196327f, 0.196327f, 0.196327f, 0.196327f,
    0.196327f, 0.196327f, 0.196327f, 0.196327f, 0.059907f, 0.059907f, 0.059907f,
    0.059907f, 0.059907f, 0.059907f, 0.059907f, 0.059907f, 0.059907f, 0.059907f,
    0.059907f, 0.005931f, 0.005931f, 0.005931f, 0.005931f, 0.005931f, 0.005931f,
    0.005931f, 0.005931f, 0.005931f, 0.005931f, 0.005931f, 0.005931f, 0.005931f,
};

const FLOAT32 *ia_hoa_kaiser_win_tbl[7] = {
    &ia_hoa_kaiser_win_ord_0[0], &ia_hoa_kaiser_win_ord_1[0], &ia_hoa_kaiser_win_ord_2[0],
    &ia_hoa_kaiser_win_ord_3[0], &ia_hoa_kaiser_win_ord_4[0], &ia_hoa_kaiser_win_ord_5[0],
    &ia_hoa_kaiser_win_ord_6[0]};

const FLOAT32 ia_hoa_pow_2_table[64] = {1.000000f,
                                        2.000000f,
                                        4.000000f,
                                        8.000000f,
                                        16.000000f,
                                        32.000000f,
                                        64.000000f,
                                        128.000000f,
                                        256.000000f,
                                        512.000000f,
                                        1024.000000f,
                                        2048.000000f,
                                        4096.000000f,
                                        8192.000000f,
                                        16384.000000f,
                                        32768.000000f,
                                        65536.000000f,
                                        131072.000000f,
                                        262144.000000f,
                                        524288.000000f,
                                        1048576.000000f,
                                        2097152.000000f,
                                        4194304.000000f,
                                        8388608.000000f,
                                        16777216.000000f,
                                        33554432.000000f,
                                        67108864.000000f,
                                        134217728.000000f,
                                        268435456.000000f,
                                        536870912.000000f,
                                        1073741824.000000f,
                                        2147483648.000000f,
                                        4294967296.000000f,
                                        8589934592.000000f,
                                        17179869184.000000f,
                                        34359738368.000000f,
                                        68719476736.000000f,
                                        137438953472.000000f,
                                        274877906944.000000f,
                                        549755813888.000000f,
                                        1099511627776.000000f,
                                        2199023255552.000000f,
                                        4398046511104.000000f,
                                        8796093022208.000000f,
                                        17592186044416.000000f,
                                        35184372088832.000000f,
                                        70368744177664.000000f,
                                        140737488355328.000000f,
                                        281474976710656.000000f,
                                        562949953421312.000000f,
                                        1125899906842624.000000f,
                                        2251799813685248.000000f,
                                        4503599627370496.000000f,
                                        9007199254740992.000000f,
                                        18014398509481984.000000f,
                                        36028797018963968.000000f,
                                        72057594037927936.000000f,
                                        144115188075855872.000000f,
                                        288230376151711744.000000f,
                                        576460752303423488.000000f,
                                        1152921504606846976.000000f,
                                        2305843009213693952.000000f,
                                        4611686018427387904.000000f,
                                        9223372036854775808.000000f};
const FLOAT32 ia_hoa_pow_2_inv_table[64] = {
    1.00000000000000000f, 0.50000000000000000f, 0.25000000000000000f, 0.12500000000000000f,
    0.06250000000000000f, 0.03125000000000000f, 0.01562500000000000f, 0.00781250000000000f,
    0.00390625000000000f, 0.00195312500000000f, 0.00097656250000000f, 0.00048828125000000f,
    0.00024414062500000f, 0.00012207031250000f, 0.00006103515625000f, 0.00003051757812500f,
    0.00001525878906250f, 0.00000762939453125f, 0.00000381469726562f, 0.00000190734863281f,
    0.00000095367431641f, 0.00000047683715820f, 0.00000023841857910f, 0.00000011920928955f,
    0.00000005960464478f, 0.00000002980232239f, 0.00000001490116119f, 0.00000000745058060f,
    0.00000000372529030f, 0.00000000186264515f, 0.00000000093132257f, 0.00000000046566129f,
    0.00000000023283064f, 0.00000000011641532f, 0.00000000005820766f, 0.00000000002910383f,
    0.00000000001455192f, 0.00000000000727596f, 0.00000000000363798f, 0.00000000000181899f,
    0.00000000000090949f, 0.00000000000045475f, 0.00000000000022737f, 0.00000000000011369f,
    0.00000000000005684f, 0.00000000000002842f, 0.00000000000001421f, 0.00000000000000711f,
    0.00000000000000355f, 0.00000000000000178f, 0.00000000000000089f, 0.00000000000000044f,
    0.00000000000000022f, 0.00000000000000011f, 0.00000000000000006f, 0.00000000000000003f,
    0.00000000000000001f, 0.00000000000000001f, 0.00000000000000000f, 0.00000000000000000f,
    0.00000000000000000f, 0.00000000000000000f, 0.00000000000000000f, 0.00000000000000000f};

const FLOAT32 ia_hoa_spk_incl_m1_theta[256] = {
    1.57079632679489680000E+00f, 7.48119159109959080000E-01f, 1.61945615403142360000E+00f,
    2.79202777481181070000E+00f, 2.21378862463945670000E+00f, 8.20886230340621030000E-01f,
    1.78366759307903750000E+00f, 1.89966204232731160000E+00f, 8.46694489001306730000E-01f,
    9.08919744434375400000E-01f, 1.23486701777455070000E+00f, 1.28475595533830430000E+00f,
    1.19703970167530230000E+00f, 1.02536998801980220000E+00f, 2.55273286785724900000E+00f,
    2.02068115135229220000E+00f, 1.82403823374224890000E+00f, 1.28195289074642790000E+00f,
    1.59821490439981110000E+00f, 1.72670925026131730000E+00f, 1.74291591192842940000E+00f,
    2.78607853193511850000E+00f, 1.25445042749003210000E+00f, 2.19616766509190020000E+00f,
    1.45040081507041600000E+00f, 8.86304355418684800000E-01f, 1.34796573949331530000E+00f,
    1.31974357394380390000E+00f, 5.36778657038771810000E-01f, 2.44516550501147690000E+00f,
    1.29881453436940110000E+00f, 1.36863814549139670000E+00f, 2.76449305660717130000E+00f,
    1.68359013637863760000E+00f, 1.80905832102253190000E+00f, 8.97929578891351500000E-01f,
    1.51242759049367530000E+00f, 2.17905612306645890000E+00f, 2.14814783515823620000E+00f,
    3.62663579592911290000E-01f, 1.25492294678909340000E+00f, 5.06091846760101220000E-01f,
    2.01621528404819190000E+00f, 4.87134791622984680000E-01f, 2.16062397504249090000E+00f,
    1.50307410033655400000E+00f, 8.77281274996954300000E-01f, 7.37237541939032680000E-01f,
    1.22992573190677670000E+00f, 2.06493922486461080000E+00f, 2.40362308074574350000E+00f,
    1.05567104242901280000E+00f, 1.26996982715664730000E+00f, 1.51694817856438570000E+00f,
    2.14889363012526770000E+00f, 2.80795713393542460000E+00f, 2.41240214706776080000E+00f,
    2.15071948046109360000E+00f, 1.36704457555164160000E+00f, 9.76361527633288980000E-01f,
    1.57311990576673690000E+00f, 1.49441480785821050000E+00f, 2.27217337738413820000E+00f,
    1.94375332578003430000E+00f, 2.53144017216910560000E+00f, 1.52498206294358510000E+00f,
    4.89335250732200740000E-01f, 2.86922465912841980000E+00f, 2.63688849390844740000E+00f,
    8.20996434591139020000E-01f, 1.34408505284471610000E+00f, 1.41192092571787090000E+00f,
    2.64210582055518120000E-01f, 8.77772229361328590000E-01f, 1.31605281758952450000E+00f,
    9.52676376479111300000E-01f, 1.87482884257886860000E+00f, 3.03464670862183360000E+00f,
    1.74891805763971500000E+00f, 1.60288457323762780000E+00f, 1.74492153902291670000E+00f,
    1.34279446857697260000E+00f, 1.95881572385654360000E+00f, 1.98413902776156890000E+00f,
    2.15456083856762120000E+00f, 6.46279343722800940000E-01f, 8.41061239496152860000E-01f,
    1.43104283067086820000E+00f, 1.73247987835623700000E+00f, 1.55304628709043490000E+00f,
    1.05738562491374830000E+00f, 2.29775054640864070000E+00f, 1.51804668637035480000E+00f,
    1.60449983497696150000E+00f, 4.35279663494976150000E-01f, 4.79797493138415190000E-01f,
    1.48049404297564460000E+00f, 5.96986460545488980000E-01f, 1.16569125649428650000E+00f,
    2.64388183567918040000E+00f, 1.80491248683970240000E+00f, 2.39953084093261550000E+00f,
    1.45835665523166580000E+00f, 2.30075409798660060000E+00f, 1.77683358786067650000E+00f,
    1.04877693625333430000E+00f, 6.50971697347227820000E-01f, 1.58151770439975750000E+00f,
    1.00807016788544870000E+00f, 2.36212766221545370000E+00f, 2.89451184683254060000E+00f,
    2.07443089496168790000E+00f, 7.61150323491820100000E-01f, 1.69715262451773770000E+00f,
    1.64118131077173190000E+00f, 2.43176307588484340000E+00f, 1.69455895672002410000E+00f,
    1.89848683575320410000E+00f, 1.45825417517530980000E+00f, 7.17276054678394280000E-01f,
    9.61956638563927210000E-01f, 1.10379975288701980000E+00f, 1.70742613234629450000E+00f,
    2.76763943023283720000E-01f, 9.56376391170976610000E-01f, 1.27330850425617270000E+00f,
    1.10645228367897030000E+00f, 1.23656026940377690000E+00f, 5.81212327397610080000E-01f,
    2.58687208879854410000E+00f, 1.19391488215604990000E+00f, 2.56651120377705060000E+00f,
    2.23799643165630080000E+00f, 1.66330333849810110000E+00f, 7.17026295737644430000E-01f,
    2.78155672937854170000E+00f, 2.14821097024715610000E+00f, 5.98761697195070220000E-01f,
    2.05086861873314460000E+00f, 2.05048547685481890000E+00f, 2.30814053887293060000E+00f,
    1.57166273268729300000E+00f, 2.05336060651986420000E+00f, 2.45700890159390540000E+00f,
    1.82153556826414050000E+00f, 1.92454644268586050000E+00f, 1.73997160343250610000E+00f,
    1.67274716860974040000E+00f, 1.79555717071882050000E+00f, 8.02111767881039550000E-01f,
    1.46700134189359050000E+00f, 2.09430623177907860000E+00f, 2.62003006821309770000E+00f,
    1.47618481229293660000E+00f, 2.55494620717448480000E+00f, 6.27269606317793600000E-01f,
    1.42041119471218180000E+00f, 1.37623093952681020000E+00f, 2.52459697435483690000E-01f,
    8.24111524008836690000E-01f, 1.82711601623519630000E+00f, 4.27304994570138540000E-01f,
    1.91273775653360010000E+00f, 2.57715674479757250000E+00f, 1.64683465494025480000E+00f,
    1.35989339414535190000E+00f, 8.45721343067333820000E-01f, 1.42797815647402790000E+00f,
    2.56445810193711490000E-01f, 1.85408086658177470000E+00f, 7.97352381788569930000E-01f,
    1.17283784880819700000E+00f, 1.97579156953869120000E+00f, 1.07827074174899700000E+00f,
    1.15986771374562280000E+00f, 1.98315196412113590000E+00f, 2.72597873707606770000E+00f,
    4.07947605442086360000E-01f, 1.99419551789364210000E+00f, 1.04344497910873410000E+00f,
    1.58418244471760270000E+00f, 5.63047937270352230000E-02f, 2.66402131680853450000E+00f,
    1.97715295284895660000E+00f, 2.17974977803242440000E+00f, 2.19490486008502960000E+00f,
    1.10588745232704900000E+00f, 2.56402197986373630000E+00f, 2.41640927909702260000E+00f,
    6.25955308593053590000E-01f, 1.84252386990174370000E+00f, 7.22587551606499570000E-01f,
    6.59037481867101200000E-01f, 1.61338161811008170000E+00f, 6.51144769296404190000E-01f,
    1.12044633528560020000E+00f, 1.38775635352633530000E+00f, 2.81340370436412050000E+00f,
    1.93254259152481980000E+00f, 2.25300620895676220000E+00f, 4.37798701051926420000E-01f,
    2.29709128976811880000E+00f, 1.13545627435409480000E+00f, 1.03447775267640710000E+00f,
    2.13759209373244730000E+00f, 2.37824439897954680000E+00f, 2.41037883376273370000E+00f,
    1.54639086438495640000E+00f, 2.30171018453533630000E+00f, 1.98127287984443660000E+00f,
    9.48982472423353980000E-01f, 1.21365381157918280000E+00f, 7.99002519437832630000E-01f,
    1.90427776780085820000E+00f, 6.34266954331849870000E-01f, 3.78834182935344270000E-01f,
    2.37767588225043400000E+00f, 1.68325194312385600000E-01f, 9.47085874163107300000E-01f,
    2.98201672753081360000E+00f, 1.22628608508116610000E+00f, 1.34051422527300850000E+00f,
    2.39952585415137460000E+00f, 1.12788301584038900000E+00f, 1.80106308478685690000E+00f,
    1.86488637387984220000E+00f, 2.03539602106036450000E+00f, 6.56569275660826230000E-01f,
    1.29279362574528170000E+00f, 2.25799055232518240000E+00f, 2.67335621698771100000E+00f,
    2.01698670297180540000E+00f, 1.91654489619639980000E+00f, 2.31683420400382060000E+00f,
    9.02994428081540620000E-01f, 2.98834363339483170000E+00f, 1.73046826785007110000E+00f,
    1.70500664117277840000E+00f, 2.23976515554358930000E+00f, 1.10858144197003420000E+00f,
    2.15499789088186720000E+00f, 1.83493009048537850000E+00f, 2.06057134818343670000E+00f,
    2.46983761506714790000E+00f, 1.49838462677650570000E+00f, 1.06754948578989840000E+00f,
    1.19058565631161510000E+00f, 1.39493770707000200000E+00f, 1.01012078383716060000E+00f,
    9.64725567203483240000E-01f, 2.16510258035889720000E-01f, 1.07964216126216410000E+00f,
    2.61859242789309210000E+00f, 2.51782035058782010000E+00f, 1.65206753601840410000E+00f,
    4.44298511413458500000E-01f,
};

const FLOAT32 ia_hoa_spk_azimuth_m1_phi[256] = {
    3.14159265358979310000E+00f,  3.14159265358979310000E+00f,  -3.38233155670188580000E-01f,
    1.19263248667349390000E+00f,  1.78774514961512090000E+00f,  3.94277076647476850000E-01f,
    1.88058232529973850000E+00f,  -2.87486999975822280000E+00f, 1.58994151524032620000E+00f,
    1.13832974961638950000E-01f,  5.30224207719510400000E-01f,  -1.28047263282294240000E-01f,
    2.21295050532664740000E+00f,  -1.24025055302630120000E-01f, 1.28029192282326140000E+00f,
    3.09254810436726590000E-01f,  2.10962502236164000000E+00f,  1.58893731727769840000E+00f,
    2.06941433484836250000E+00f,  -1.65205337507968350000E+00f, 2.54544239768215740000E+00f,
    2.61325478178388780000E+00f,  -1.64340604756801990000E+00f, 2.42008985950056400000E+00f,
    -7.87399119721336360000E-01f, 1.89086511553808270000E+00f,  -1.84297180695540750000E+00f,
    1.81225921830781210000E+00f,  2.96341433570878720000E+00f,  1.92251164616041610000E+00f,
    -5.64741951054629650000E-01f, 2.03396465900577720000E+00f,  -2.91315347685843970000E+00f,
    5.37346826711131990000E-01f,  -3.10434763878932780000E+00f, -2.48782826016660200000E+00f,
    1.62439279974813440000E+00f,  3.00048685978168050000E+00f,  9.66038612872416320000E-02f,
    -2.94936178430753590000E+00f, 1.35925960542501680000E+00f,  -1.27701322927373070000E-01f,
    7.75895532128443870000E-01f,  -1.21602994617029350000E+00f, 1.04221272038345840000E+00f,
    -2.27649213476922350000E+00f, 1.26575454613203810000E+00f,  2.78222247379213570000E+00f,
    -7.97473213352573370000E-01f, -1.46087541350059920000E+00f, 2.29285565918308090000E+00f,
    -1.75259308256533020000E+00f, -2.25032253430396610000E+00f, -1.23336596128441780000E-01f,
    -2.80309585737914710000E+00f, -2.28780269766695720000E+00f, 5.98519772207203980000E-01f,
    -1.21234571516480070000E+00f, -1.43371077586454980000E+00f, -1.99802702006227490000E+00f,
    7.47334946232573790000E-01f,  -1.63711817097093770000E+00f, -9.29514316789426420000E-01f,
    2.98169374290159930000E+00f,  2.58501915226974120000E+00f,  -5.62882618295368900000E-01f,
    9.87158768677366630000E-01f,  1.91333027971797790000E+00f,  2.17246102739136980000E+00f,
    -6.56786646513584980000E-01f, 7.49849547423947160000E-01f,  8.93381778594410230000E-02f,
    9.04606196035349530000E-01f,  -1.54533067929257180000E+00f, 3.02833725352818550000E-01f,
    2.68574098956293560000E+00f,  1.13789634683823210000E-01f,  8.82273152732705900000E-01f,
    -5.53226492715780730000E-01f, 1.18997035162157540000E+00f,  -1.08090884129857890000E-01f,
    3.12583084761836050000E+00f,  -1.68292681616760680000E+00f, -8.89741213680505380000E-02f,
    1.51925901570025990000E+00f,  1.96139030082292860000E-01f,  7.33869555631094460000E-01f,
    -2.05952476563115280000E+00f, -2.28047230769678630000E+00f, 1.84631267508492240000E+00f,
    2.42034428861174970000E+00f,  3.12233575158255840000E-01f,  2.50136882298675460000E+00f,
    -1.42922388689747830000E+00f, -6.53011511459029910000E-01f, 2.05885123572013650000E+00f,
    9.57553941825364800000E-01f,  -2.03763624330793960000E+00f, 2.66141673755585200000E+00f,
    1.68437049941891210000E+00f,  -2.49678132418058670000E+00f, 2.96424986071720560000E+00f,
    2.92357917300877100000E+00f,  -1.48123000895716330000E+00f, 3.24953302370264600000E-01f,
    1.46307657915689580000E+00f,  1.76745774241044470000E+00f,  -2.49867677551312320000E+00f,
    -8.13460093474500990000E-01f, -2.66912550467616900000E+00f, -3.62426553772725310000E-01f,
    -3.10578956642281690000E-01f, -1.21707136833319920000E-01f, -1.21598934588177650000E+00f,
    1.01317587381112020000E-01f,  5.64733634734549480000E-02f,  1.42563942970504500000E+00f,
    -7.70324877671997750000E-01f, 5.26583028378400100000E-01f,  2.12735057657464300000E+00f,
    9.81613685577758850000E-01f,  -1.46829051474942780000E+00f, 9.82404507749796490000E-01f,
    -1.24912805484685020000E-01f, 2.16763628261714820000E+00f,  -2.70752543698461870000E+00f,
    -1.04474490274085090000E+00f, 9.74509570201486540000E-01f,  -2.85804232977289760000E+00f,
    -2.52035631996872620000E+00f, -2.00850679225751570000E+00f, -1.40116340286355710000E+00f,
    7.83096465105973860000E-01f,  -2.06483896522639120000E+00f, 1.01152454895076270000E+00f,
    -1.10126312921970660000E+00f, 5.26119421125967550000E-01f,  2.47785071694334520000E+00f,
    -3.05882077907637310000E+00f, 2.21797957949341960000E+00f,  2.66799987454084290000E+00f,
    -1.00074161053306750000E+00f, 1.26987903540299610000E+00f,  -1.73727733504186890000E+00f,
    -1.88014381567600510000E+00f, -1.21767779491173900000E+00f, 1.65604127727832770000E+00f,
    -7.79472428932382560000E-01f, 7.65440536295810550000E-01f,  -2.19619818451802470000E+00f,
    -1.21868457910781780000E+00f, 2.75786910196225630000E+00f,  8.19279516427057210000E-01f,
    1.39749835477230770000E+00f,  -9.64604094451374070000E-01f, -1.60425939824598920000E+00f,
    -2.93308664171005650000E+00f, 1.16335452506401250000E+00f,  1.83835026255348470000E+00f,
    2.43203475578229660000E+00f,  1.22401065664099700000E+00f,  4.05953106954272780000E-01f,
    5.40144236255409190000E-01f,  3.57239964605872040000E-01f,  2.30149626973443540000E+00f,
    -2.48042644238844990000E+00f, -1.00730282098106970000E+00f, 2.26080411938045870000E+00f,
    -1.10831240850022720000E+00f, 2.75622163981889570000E+00f,  -1.83344082565915590000E+00f,
    7.98457354443453670000E-02f,  1.71142980582194020000E+00f,  1.72459462942771700000E+00f,
    -3.35761010827155980000E-01f, -2.63745382090245030000E+00f, -1.72590789160068890000E+00f,
    -1.74346159083833020000E+00f, 2.53909126204389680000E+00f,  -2.25391041708895920000E+00f,
    -1.85099833165654840000E+00f, 4.92973446828996260000E-02f,  -5.65280389447550660000E-01f,
    -5.36368147855831650000E-01f, -2.49009794256737480000E+00f, -1.72738264435041190000E+00f,
    1.18037416175601510000E+00f,  -2.08805666558149560000E+00f, -6.75649749805211420000E-01f,
    6.20730265273844010000E-01f,  -3.20711339605275310000E-01f, -1.27757585918209940000E+00f,
    -2.47093177942271410000E+00f, 2.73916249012879430000E+00f,  -4.47169712875179760000E-01f,
    3.11017336344553950000E+00f,  2.69865282673450400000E+00f,  4.60839199364657730000E-01f,
    1.00969344864302050000E+00f,  -4.68925349708950610000E-01f, -2.38087159883356850000E+00f,
    -3.01600877158933000000E+00f, -2.49101315063431490000E+00f, -2.73233946250660600000E+00f,
    -7.15230316631931040000E-01f, -1.19328755653602210000E+00f, 9.89157502900199330000E-01f,
    3.11744187484241990000E-01f,  1.28565463545209590000E+00f,  -2.35034776485292610000E+00f,
    -3.00107949834506370000E+00f, 2.89143038437328940000E+00f,  -2.77395439508832190000E+00f,
    -2.11372988718771370000E+00f, -8.78756140024239740000E-01f, 2.58022444568272660000E+00f,
    -2.31982814796406340000E+00f, 2.89477763929125500000E+00f,  2.95561528910556380000E+00f,
    -1.56462615576563020000E+00f, -1.24899094232993480000E+00f, -1.01654353643395700000E+00f,
    1.58033667395342900000E+00f,  1.97272114765284010000E+00f,  -9.97425731523713060000E-01f,
    2.34657634708557870000E+00f,  -9.76881444997446670000E-01f, 1.36768933089669020000E+00f,
    2.45367664413740360000E+00f,  -1.46702708847078450000E-01f, -6.24540788598025660000E-02f,
    1.95588242767270430000E+00f,  1.47356629518574600000E+00f,  -1.99296598886383180000E+00f,
    -3.64134263626974040000E-01f, 3.09595399513199520000E+00f,  -2.71269557548744130000E+00f,
    2.95347501326734820000E+00f,  2.07725486786709460000E+00f,  7.74735994356091420000E-01f,
    -2.18934732638894980000E+00f, -1.44215021619825050000E+00f, -1.93523218168275090000E+00f,
    -3.11059408897301940000E-01f, -2.71472343656252010000E+00f, -5.63167371762394400000E-01f,
    -2.93429637322231060000E+00f, -3.45056805433832210000E-01f, 5.45683243282094280000E-01f,
    -1.26189034461232930000E+00f, -2.14498458744113000000E+00f, 3.01625347119371060000E-01f,
    2.97392257256094260000E+00f,  -2.92983390950740260000E+00f, -2.92511343432637630000E+00f,
    1.50187365452353380000E+00f,
};

const impeghd_word_struct ia_hoa_frame_huffman_table[10][5][15] = {
    {{{1, 3, 0}, {0, 4, 2}, {5, 4, 3}, {3, 2, 1}, {2, 2, 2}, {4, 2, 3}},
     {{0, 3, 0}, {4, 4, 2}, {5, 4, 3}, {2, 2, 1}, {3, 2, 2}, {1, 2, 3}},
     {{2, 3, 0}, {3, 4, 2}, {4, 5, 6}, {5, 5, 7}, {1, 2, 1}, {0, 1, 1}},
     {{0, 1, 0}, {2, 3, 4}, {3, 4, 10}, {4, 5, 22}, {5, 5, 23}, {1, 2, 3}},
     {{3, 3, 0}, {4, 4, 2}, {5, 4, 3}, {0, 2, 1}, {1, 2, 2}, {2, 2, 3}}},
    {{{5, 3, 0}, {2, 3, 1}, {4, 2, 1}, {3, 2, 2}, {1, 3, 6}, {0, 4, 14}, {6, 4, 15}},
     {{2, 3, 0}, {1, 3, 1}, {3, 2, 1}, {4, 2, 2}, {5, 3, 6}, {0, 4, 14}, {6, 4, 15}},
     {{3, 3, 0}, {4, 4, 2}, {5, 5, 6}, {6, 5, 7}, {0, 2, 1}, {1, 2, 2}, {2, 2, 3}},
     {{0, 1, 0}, {3, 4, 8}, {4, 5, 18}, {5, 6, 38}, {6, 6, 39}, {2, 3, 5}, {1, 2, 3}},
     {{4, 3, 0}, {0, 3, 1}, {5, 4, 4}, {6, 4, 5}, {1, 3, 3}, {3, 2, 2}, {2, 2, 3}}},
    {{{6, 3, 0}, {3, 3, 1}, {5, 2, 1}, {7, 5, 16}, {0, 5, 17}, {1, 4, 9}, {2, 3, 5}, {4, 2, 3}},
     {{3, 3, 0}, {1, 4, 2}, {0, 5, 6}, {7, 5, 7}, {4, 2, 1}, {2, 3, 4}, {6, 3, 5}, {5, 2, 3}},
     {{1, 3, 0}, {0, 3, 1}, {4, 3, 2}, {5, 4, 6}, {6, 5, 14}, {7, 5, 15}, {2, 2, 2}, {3, 2, 3}},
     {{1, 3, 0}, {4, 4, 2}, {5, 5, 6}, {6, 6, 14}, {7, 6, 15}, {2, 3, 2}, {3, 3, 3}, {0, 1, 1}},
     {{5, 3, 0}, {3, 3, 1}, {0, 4, 4}, {7, 4, 5}, {2, 3, 3}, {6, 3, 4}, {1, 3, 5}, {4, 2, 3}}},
    {{{7, 3, 0},
      {4, 3, 1},
      {6, 2, 1},
      {1, 6, 32},
      {0, 6, 33},
      {8, 5, 17},
      {2, 4, 9},
      {3, 3, 5},
      {5, 2, 3}},
     {{4, 3, 0},
      {2, 4, 2},
      {1, 5, 6},
      {0, 6, 14},
      {8, 6, 15},
      {5, 2, 1},
      {3, 3, 4},
      {7, 3, 5},
      {6, 2, 3}},
     {{3, 3, 0},
      {2, 3, 1},
      {5, 3, 2},
      {1, 3, 3},
      {6, 4, 8},
      {7, 5, 18},
      {8, 5, 19},
      {0, 3, 5},
      {4, 2, 3}},
     {{0, 2, 0},
      {1, 3, 2},
      {2, 3, 3},
      {3, 3, 4},
      {4, 3, 5},
      {5, 3, 6},
      {6, 4, 14},
      {7, 5, 30},
      {8, 5, 31}},
     {{5, 3, 0},
      {6, 3, 1},
      {4, 3, 2},
      {3, 3, 3},
      {7, 3, 4},
      {2, 3, 5},
      {0, 4, 12},
      {8, 4, 13},
      {1, 3, 7}}},
    {{{8, 3, 0},
      {2, 6, 8},
      {1, 7, 18},
      {0, 7, 19},
      {9, 5, 5},
      {3, 4, 3},
      {7, 2, 1},
      {5, 3, 4},
      {4, 3, 5},
      {6, 2, 3}},
     {{5, 3, 0},
      {0, 7, 16},
      {9, 7, 17},
      {1, 6, 9},
      {2, 5, 5},
      {3, 4, 3},
      {6, 2, 1},
      {4, 3, 4},
      {8, 3, 5},
      {7, 2, 3}},
     {{7, 4, 0},
      {1, 4, 1},
      {4, 3, 1},
      {6, 3, 2},
      {3, 3, 3},
      {2, 3, 4},
      {0, 4, 10},
      {8, 5, 22},
      {9, 5, 23},
      {5, 2, 3}},
     {{6, 4, 0},
      {7, 5, 2},
      {8, 6, 6},
      {9, 6, 7},
      {2, 3, 1},
      {0, 2, 1},
      {3, 3, 4},
      {1, 3, 5},
      {4, 3, 6},
      {5, 3, 7}},
     {{6, 3, 0},
      {7, 3, 1},
      {5, 3, 2},
      {4, 3, 3},
      {2, 4, 8},
      {1, 4, 9},
      {8, 3, 5},
      {3, 3, 6},
      {9, 4, 14},
      {0, 4, 15}}},
    {{{9, 3, 0},
      {5, 4, 2},
      {3, 5, 6},
      {2, 6, 14},
      {1, 7, 30},
      {0, 7, 31},
      {8, 2, 1},
      {6, 3, 4},
      {4, 4, 10},
      {10, 4, 11},
      {7, 2, 3}},
     {{6, 3, 0},
      {10, 8, 32},
      {0, 8, 33},
      {1, 7, 17},
      {2, 6, 9},
      {3, 5, 5},
      {4, 4, 3},
      {7, 2, 1},
      {5, 3, 4},
      {9, 3, 5},
      {8, 2, 3}},
     {{5, 3, 0},
      {8, 4, 2},
      {2, 4, 3},
      {7, 3, 2},
      {4, 3, 3},
      {9, 5, 16},
      {0, 6, 34},
      {10, 6, 35},
      {1, 4, 9},
      {3, 3, 5},
      {6, 2, 3}},
     {{6, 4, 0},
      {7, 4, 1},
      {1, 4, 2},
      {8, 5, 6},
      {9, 6, 14},
      {10, 6, 15},
      {3, 3, 2},
      {4, 3, 3},
      {0, 2, 2},
      {5, 3, 6},
      {2, 3, 7}},
     {{7, 3, 0},
      {8, 3, 1},
      {6, 3, 2},
      {5, 3, 3},
      {9, 3, 4},
      {3, 4, 10},
      {2, 4, 11},
      {4, 3, 6},
      {1, 5, 28},
      {0, 5, 29},
      {10, 4, 15}}},
    {{{10, 3, 0},
      {6, 4, 2},
      {4, 5, 6},
      {3, 6, 14},
      {2, 7, 30},
      {1, 8, 62},
      {0, 8, 63},
      {9, 2, 1},
      {7, 3, 4},
      {5, 4, 10},
      {11, 4, 11},
      {8, 2, 3}},
     {{7, 3, 0},
      {11, 8, 32},
      {1, 9, 66},
      {0, 9, 67},
      {2, 7, 17},
      {3, 6, 9},
      {4, 5, 5},
      {5, 4, 3},
      {8, 2, 1},
      {6, 3, 4},
      {10, 3, 5},
      {9, 2, 3}},
     {{9, 4, 0},
      {1, 6, 4},
      {0, 7, 10},
      {11, 7, 11},
      {10, 5, 3},
      {6, 3, 1},
      {8, 3, 2},
      {5, 3, 3},
      {3, 4, 8},
      {2, 4, 9},
      {4, 3, 5},
      {7, 2, 3}},
     {{0, 3, 0},
      {8, 4, 2},
      {2, 4, 3},
      {9, 5, 8},
      {10, 6, 18},
      {11, 6, 19},
      {1, 4, 5},
      {5, 3, 3},
      {4, 3, 4},
      {6, 3, 5},
      {7, 3, 6},
      {3, 3, 7}},
     {{8, 3, 0},
      {9, 3, 1},
      {7, 3, 2},
      {6, 3, 3},
      {4, 4, 8},
      {2, 5, 18},
      {1, 6, 38},
      {0, 6, 39},
      {10, 3, 5},
      {5, 3, 6},
      {3, 4, 14},
      {11, 4, 15}}},
    {{{11, 3, 0},
      {7, 4, 2},
      {5, 5, 6},
      {4, 6, 14},
      {3, 7, 30},
      {2, 8, 62},
      {1, 9, 126},
      {0, 9, 127},
      {10, 2, 1},
      {8, 3, 4},
      {6, 4, 10},
      {12, 4, 11},
      {9, 2, 3}},
     {{8, 3, 0},
      {12, 8, 32},
      {2, 9, 66},
      {1, 10, 134},
      {0, 10, 135},
      {3, 7, 17},
      {4, 6, 9},
      {5, 5, 5},
      {6, 4, 3},
      {9, 2, 1},
      {7, 3, 4},
      {11, 3, 5},
      {10, 2, 3}},
     {{10, 4, 0},
      {3, 5, 2},
      {11, 5, 3},
      {7, 3, 1},
      {9, 3, 2},
      {6, 3, 3},
      {4, 4, 8},
      {2, 5, 18},
      {1, 6, 38},
      {0, 7, 78},
      {12, 7, 79},
      {5, 3, 5},
      {8, 2, 3}},
     {{4, 4, 0},
      {9, 4, 1},
      {0, 3, 1},
      {3, 4, 4},
      {1, 5, 10},
      {11, 6, 22},
      {12, 6, 23},
      {6, 3, 3},
      {5, 3, 4},
      {7, 3, 5},
      {8, 3, 6},
      {2, 4, 14},
      {10, 4, 15}},
     {{9, 3, 0},
      {10, 3, 1},
      {8, 3, 2},
      {7, 3, 3},
      {5, 4, 8},
      {2, 6, 36},
      {1, 7, 74},
      {0, 7, 75},
      {3, 5, 19},
      {11, 3, 5},
      {6, 3, 6},
      {4, 4, 14},
      {12, 4, 15}}},
    {{{12, 3, 0},
      {8, 4, 2},
      {5, 6, 12},
      {4, 7, 26},
      {3, 8, 54},
      {2, 9, 110},
      {1, 10, 222},
      {0, 10, 223},
      {6, 5, 7},
      {11, 2, 1},
      {9, 3, 4},
      {7, 4, 10},
      {13, 4, 11},
      {10, 2, 3}},
     {{9, 3, 0},
      {3, 9, 64},
      {2, 10, 130},
      {1, 11, 262},
      {0, 11, 263},
      {13, 8, 33},
      {4, 7, 17},
      {5, 6, 9},
      {6, 5, 5},
      {7, 4, 3},
      {10, 2, 1},
      {8, 3, 4},
      {12, 3, 5},
      {11, 2, 3}},
     {{11, 4, 0},
      {4, 5, 2},
      {12, 5, 3},
      {8, 3, 1},
      {10, 3, 2},
      {7, 3, 3},
      {5, 4, 8},
      {2, 6, 36},
      {1, 7, 74},
      {13, 8, 150},
      {0, 8, 151},
      {3, 5, 19},
      {6, 3, 5},
      {9, 2, 3}},
     {{5, 4, 0},
      {10, 4, 1},
      {11, 5, 4},
      {2, 5, 5},
      {4, 4, 3},
      {0, 3, 2},
      {7, 3, 3},
      {6, 3, 4},
      {8, 3, 5},
      {9, 3, 6},
      {1, 5, 28},
      {12, 6, 58},
      {13, 6, 59},
      {3, 4, 15}},
     {{10, 3, 0},
      {11, 3, 1},
      {9, 3, 2},
      {6, 4, 6},
      {3, 6, 28},
      {2, 7, 58},
      {1, 8, 118},
      {0, 8, 119},
      {4, 5, 15},
      {8, 3, 4},
      {12, 3, 5},
      {7, 3, 6},
      {5, 4, 14},
      {13, 4, 15}}},
    {{{13, 3, 0},
      {9, 4, 2},
      {6, 6, 12},
      {5, 7, 26},
      {4, 8, 54},
      {3, 9, 110},
      {2, 10, 222},
      {1, 11, 446},
      {0, 11, 447},
      {7, 5, 7},
      {12, 2, 1},
      {10, 3, 4},
      {8, 4, 10},
      {14, 4, 11},
      {11, 2, 3}},
     {{10, 3, 0},
      {6, 7, 16},
      {5, 7, 17},
      {4, 8, 36},
      {3, 9, 74},
      {2, 10, 150},
      {1, 11, 302},
      {0, 11, 303},
      {14, 7, 19},
      {7, 5, 5},
      {8, 4, 3},
      {11, 2, 1},
      {9, 3, 4},
      {13, 3, 5},
      {12, 2, 3}},
     {{12, 4, 0},
      {5, 5, 2},
      {13, 5, 3},
      {9, 3, 1},
      {11, 3, 2},
      {8, 3, 3},
      {6, 4, 8},
      {14, 9, 288},
      {0, 9, 289},
      {1, 8, 145},
      {2, 7, 73},
      {3, 6, 37},
      {4, 5, 19},
      {7, 3, 5},
      {10, 2, 3}},
     {{4, 5, 0},
      {12, 5, 1},
      {6, 4, 1},
      {11, 4, 2},
      {2, 6, 12},
      {13, 7, 26},
      {14, 7, 27},
      {3, 5, 7},
      {5, 4, 4},
      {1, 4, 5},
      {8, 3, 3},
      {7, 3, 4},
      {9, 3, 5},
      {0, 3, 6},
      {10, 3, 7}},
     {{11, 3, 0},
      {12, 3, 1},
      {10, 3, 2},
      {7, 4, 6},
      {4, 6, 28},
      {3, 7, 58},
      {2, 8, 118},
      {1, 9, 238},
      {0, 9, 239},
      {5, 5, 15},
      {9, 3, 4},
      {13, 3, 5},
      {8, 3, 6},
      {6, 4, 14},
      {14, 4, 15}}},
};

const FLOAT32 ia_hoa_spk_incl_s1_theta[324] = {
    1.5707963f, 2.5405864f, 0.7531556f, 2.3373044f, 1.9863741f, 2.5991084f, 1.7910077f,
    0.8458421f, 2.1587602f, 1.0539163f, 0.6573974f, 1.6870561f, 1.9874210f, 1.8753757f,
    2.6812992f, 0.9847653f, 0.8309869f, 1.0282382f, 1.6168763f, 2.7265816f, 2.1812596f,
    2.3997819f, 1.2539952f, 1.1534611f, 1.8734415f, 2.3247233f, 2.3384538f, 1.8048998f,
    2.0309004f, 2.2392023f, 2.3954581f, 0.4242880f, 1.3791806f, 2.3431276f, 1.1544198f,
    1.7526261f, 2.5152342f, 2.7377889f, 1.3301185f, 2.6970912f, 2.9780190f, 2.2367802f,
    1.0691243f, 2.3659774f, 1.6509275f, 2.4527785f, 1.2403896f, 2.5547508f, 1.8327873f,
    0.8412186f, 0.1522474f, 1.4366559f, 1.5881997f, 1.7452929f, 1.6470265f, 1.0267854f,
    0.6567068f, 1.0925853f, 1.7731429f, 0.4817583f, 1.8647670f, 1.6062881f, 1.4851229f,
    1.0663814f, 2.8807825f, 2.1376835f, 0.7666404f, 1.0065716f, 2.0360126f, 0.9010112f,
    0.8723115f, 2.2040368f, 1.3837073f, 0.6798166f, 1.2995487f, 0.7150958f, 0.8859530f,
    1.9800020f, 2.4138307f, 1.4766297f, 2.6022139f, 1.8483685f, 2.5387681f, 2.6064727f,
    1.9387433f, 1.1717758f, 1.1839856f, 1.0569476f, 0.7265306f, 0.4518309f, 0.9655424f,
    1.9684150f, 0.9496627f, 2.1254931f, 1.9445488f, 2.3409006f, 1.3855940f, 0.9034012f,
    2.0710520f, 1.3821528f, 1.1067135f, 1.2567569f, 1.8917967f, 2.9411494f, 1.2636606f,
    2.0893120f, 1.6556109f, 1.4374238f, 1.1797795f, 1.8129836f, 0.6134934f, 2.3453777f,
    2.1616431f, 2.9382360f, 2.1739670f, 0.4691813f, 0.5146648f, 0.9754238f, 0.2642608f,
    2.6544160f, 1.4080846f, 1.5303978f, 1.9914329f, 1.5993680f, 1.0502675f, 1.9960695f,
    0.7481289f, 2.5047023f, 1.9122767f, 0.0859520f, 1.7893526f, 1.2726921f, 1.4192382f,
    2.1739094f, 2.0306286f, 0.5465714f, 0.5137083f, 1.5763687f, 2.2384219f, 2.0957524f,
    2.1287705f, 1.3469897f, 0.7526489f, 1.4560246f, 0.8189405f, 1.7879827f, 2.1860684f,
    1.4907626f, 1.1785923f, 1.6962932f, 2.5732595f, 2.5233261f, 2.2476905f, 1.6906169f,
    0.5113113f, 2.7224635f, 2.7433675f, 1.0039671f, 0.8254413f, 1.4591576f, 0.9244958f,
    0.6815077f, 1.9940547f, 1.1290887f, 1.9192098f, 1.4249201f, 0.8478625f, 1.7307711f,
    0.6610194f, 2.7750316f, 0.2989824f, 1.5808259f, 2.3017962f, 1.7887999f, 1.3909612f,
    1.3935644f, 1.6947969f, 1.3790712f, 1.4845713f, 0.9766068f, 0.7317274f, 1.0261727f,
    2.3243732f, 0.2305145f, 1.2237800f, 1.2298174f, 1.3619761f, 1.1678844f, 0.6339551f,
    1.2723762f, 1.9199436f, 1.4445376f, 0.6470673f, 1.5110136f, 2.7948054f, 2.8390821f,
    2.2870401f, 2.1356832f, 0.4860003f, 2.6654006f, 0.5533260f, 1.8222029f, 2.0097280f,
    1.3933621f, 2.5455310f, 1.0993670f, 1.2832454f, 0.3455167f, 1.6361610f, 1.7219779f,
    1.2076426f, 1.8157443f, 1.2629566f, 1.4980231f, 0.9406513f, 0.7345074f, 1.4719105f,
    1.6364080f, 0.8516257f, 1.5594208f, 2.7705780f, 1.8992556f, 2.4068897f, 0.9469384f,
    1.5895613f, 1.6908639f, 1.0581731f, 1.7299307f, 1.3697557f, 0.6878101f, 2.5243753f,
    1.7007389f, 0.9497801f, 2.2025111f, 1.1538781f, 1.5135776f, 1.8396094f, 1.4941810f,
    1.6629468f, 2.0827267f, 0.8844440f, 1.5948254f, 1.5886266f, 2.4527123f, 2.3583953f,
    2.3957398f, 1.2900087f, 1.6164074f, 1.3599462f, 2.7510263f, 2.9202722f, 0.8636062f,
    2.3235262f, 2.4421937f, 0.6299566f, 2.0292786f, 1.1903429f, 1.9429916f, 2.0390175f,
    2.1172586f, 2.1385617f, 2.3982008f, 2.0539730f, 1.8335657f, 1.0253402f, 0.1235900f,
    2.8975477f, 2.5086982f, 1.6432834f, 0.3198734f, 1.2294891f, 0.6607547f, 1.7916456f,
    1.2992082f, 2.0477182f, 3.1009669f, 2.0065189f, 2.2185977f, 1.0487286f, 0.5745758f,
    1.6237451f, 0.6232492f, 0.4154046f, 1.0989000f, 1.0486318f, 2.4181873f, 1.2560264f,
    1.4107481f, 0.8406738f, 1.8323286f, 0.3452037f, 1.8701251f, 1.5945219f, 1.1948298f,
    0.5159584f, 0.8632609f, 0.7778237f, 0.3227592f, 1.7870326f, 2.1982666f, 1.9351652f,
    1.5433192f, 0.4601629f, 2.2464012f, 0.8526697f, 2.5835705f, 1.3767069f, 2.2255402f,
    1.7948460f, 1.5640527f, 1.7010888f, 1.2851429f, 0.2623803f, 0.4702406f, 2.5728747f,
    1.2033259f, 2.0142373f, 1.9862270f, 2.2081890f, 1.4862218f, 0.2992155f, 1.8132585f,
    1.2097561f, 1.0768760f,
};

const FLOAT32 ia_spk_azimuth_s1_phi[324] = {
    0.0000000f,  3.1415926f,  1.8810711f,  2.5931531f,  2.4875395f,  1.7557727f,  -0.6983970f,
    2.3925335f,  1.1741374f,  2.2758851f,  -1.1336996f, -1.9828630f, -0.7585277f, -1.9091418f,
    2.8819681f,  -3.0915432f, -0.5670050f, 1.2007566f,  -1.1984573f, 1.3540234f,  -2.4672749f,
    0.8450964f,  0.8962360f,  -0.7622482f, 1.4435485f,  -2.6320368f, 3.1252239f,  -0.8955554f,
    -2.9409776f, 0.6699028f,  2.3078717f,  0.1802666f,  -1.8836201f, -2.3101483f, 0.5178098f,
    2.7544974f,  -2.5068030f, -1.8791867f, 1.7204801f,  -1.4054423f, 2.5519823f,  0.3814581f,
    -0.9895428f, 1.1411508f,  1.9888786f,  2.8368852f,  2.8480990f,  2.5325355f,  0.8830341f,
    1.3573039f,  -2.8359203f, -1.0845695f, -2.5874105f, -1.7459600f, 2.9713304f,  2.5130946f,
    2.5310234f,  0.7384234f,  -1.5339656f, 2.3019982f,  0.2100643f,  -2.9576603f, -2.4068014f,
    -1.9722226f, -0.5204850f, 3.1266495f,  -3.1340182f, -1.7170126f, -0.3479768f, 2.9409955f,
    -2.8859026f, 1.6438088f,  -2.6013677f, 0.8864136f,  0.6848109f,  1.5866731f,  2.1294442f,
    -2.0871205f, 0.5071386f,  1.8634999f,  2.1599309f,  2.9425698f,  -1.0886405f, 0.3219322f,
    -1.6874345f, 1.5822498f,  -3.0230170f, 0.3224698f,  -0.8238116f, -1.2731943f, -0.3560762f,
    -1.4575997f, -2.1626836f, -0.5768666f, 2.7146563f,  -0.1091792f, 2.6978430f,  -0.1199145f,
    0.5475403f,  -1.6781237f, 3.0104582f,  -0.5445390f, -2.3321007f, -2.3134224f, 2.1726453f,
    -2.2724102f, 1.7743789f,  2.2847649f,  -2.6153823f, -1.1133551f, -0.5242217f, -1.2379923f,
    -1.3650432f, 1.3516806f,  -0.8367907f, 2.7381934f,  1.5001465f,  0.1115545f,  2.5375988f,
    -2.8191962f, 2.4886262f,  0.4034516f,  -1.2273121f, -0.7371417f, 0.9660861f,  1.0161262f,
    -0.2919385f, -1.4457210f, -2.7457919f, -0.9711839f, 2.5426851f,  -0.9365210f, 1.0361157f,
    -1.0980941f, 2.0410203f,  3.1218531f,  -2.1432054f, -1.6047441f, -2.9151179f, 1.3951226f,
    -1.6203209f, 0.4662525f,  0.0559630f,  2.0753119f,  -1.6166602f, -2.1558222f, 2.4080002f,
    -2.7838336f, 0.0841963f,  -2.3877940f, -2.1643205f, -1.7777144f, 2.8758993f,  1.5370108f,
    -0.8474907f, -0.9010638f, -2.4116438f, -1.4675468f, -1.3270087f, 0.8294087f,  1.6439349f,
    2.1896538f,  -0.9903437f, 1.7932357f,  -0.1590150f, 2.9386361f,  1.0709113f,  -3.1297680f,
    1.2328871f,  2.4598631f,  0.6793401f,  1.1700293f,  1.4079970f,  0.0138190f,  -1.4778760f,
    1.2541953f,  0.5612687f,  -0.3689930f, -0.5532328f, -2.6312965f, -2.1368392f, 1.4405790f,
    -0.6364506f, -0.0425561f, 1.1141864f,  -1.1491550f, -0.7181869f, -0.3476730f, -1.4794294f,
    -2.4130456f, -0.5322728f, 0.2189164f,  -2.8620733f, 1.6279427f,  1.8950574f,  -3.0573416f,
    -1.8058545f, -0.1375498f, 1.0331296f,  -0.4202019f, 1.8879695f,  -2.9433579f, 1.5986790f,
    -2.9826238f, -0.0695057f, 2.0452974f,  -2.8059699f, 1.9214553f,  -0.9880660f, 0.3599680f,
    2.6083172f,  2.3318341f,  -2.0455154f, 0.6208285f,  -0.7959679f, 0.5826593f,  -0.8826924f,
    2.1935339f,  -2.3821858f, 2.7917862f,  0.7896023f,  0.4487078f,  0.1895731f,  0.5507747f,
    -0.3564738f, -0.5263857f, -2.4115986f, 1.3037876f,  0.0317371f,  2.8562591f,  -0.7185847f,
    -2.7665936f, 1.8847251f,  0.9339129f,  -2.2186323f, 3.1341460f,  1.9074665f,  -2.0481701f,
    0.7635882f,  -1.8672921f, 0.8007125f,  -1.4013630f, 2.5924847f,  -0.3859897f, -0.9359166f,
    -2.0342702f, -0.1611761f, 2.3951505f,  1.4874883f,  0.0406671f,  0.3600269f,  -1.0508327f,
    -1.5446125f, -2.8547798f, -2.4357929f, 1.8197002f,  -1.5776721f, 1.2337432f,  0.7871139f,
    -2.7146113f, 2.6618115f,  1.6978629f,  0.2886871f,  2.1207464f,  -1.2251775f, 1.5360453f,
    -1.3762161f, 1.4138001f,  0.1794131f,  1.3294018f,  2.3878665f,  -1.8318720f, -2.5667774f,
    3.0927688f,  2.9117840f,  -0.7219499f, 0.0482027f,  2.1571811f,  -0.5709045f, -0.1120937f,
    0.9652590f,  0.2956033f,  -0.3827226f, -0.1233531f, 2.7645149f,  2.0036886f,  0.2801212f,
    -1.2811042f, 0.3229927f,  1.6894495f,  -3.0776714f, 0.6687363f,  -2.2170452f, -1.8003966f,
    0.6186572f,  -1.9062481f, -2.6395361f, -2.3195442f, 1.0935640f,  -2.0743419f, 3.1371755f,
    1.3961555f,  -1.7374204f, -0.3652914f, 2.6715346f,  0.6944242f,  -2.2270378f, 1.9022704f,
    -1.3243931f, -1.8182331f, -0.1744274f, 1.9451733f,  -1.6458792f, -2.6737493f, 1.0721324f,
    -1.3615291f, 2.2627790f,  -2.5230986f, 0.1109592f,  -0.1801096f, -0.8742500f, -0.3493600f,
    1.3395411f,  -2.8388940f,
};

const WORD32 ia_hoa_curr_order[MAXIMUM_NUM_HOA_COEFF] = {
    0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4,
    5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6};
/* 1.0 / sqrt(2 * current_hoa_order + 1.0f) */
const FLOAT32 ia_hoa_curr_scalar[MAXIMUM_HOA_ORDER + 1] = {
    1.0000000f, 0.5773503f, 0.4472136f, 0.3779645f, 0.3333333f, 0.3015113f, 0.2773501f};

const WORD32 ia_hoa_spat_interp_time_code_table[8] = {0, 64, 128, 256, 384, 512, 768, 1024};

const FLOAT32 ia_hoa_nf_roots_re_abs[] = {
    -2.0000000f, -3.0000000f, 3.4641016f,   -3.6778146f, 5.0830828f,   -4.6443707f,
    -4.2075787f, 6.7787315f,  -5.7924212f,  6.0465298f,  -4.6493486f,  8.5220456f,
    -6.7039127f, 7.5557873f,  -7.2934771f,  -5.0318644f, 10.2983543f,  -7.4714167f,
    9.1329783f,  -8.4967187f, 8.6720541f,   -5.3713537f, 12.0990553f,  -8.1402783f,
    10.7585400f, -9.5165810f, 10.1324122f,  -9.9435737f, -5.6779678f,  13.9186233f,
    -8.7365784f, 12.4208298f, -10.4096815f, 11.6507064f, -11.1757720f, 11.3096817f};

const FLOAT32 ia_hoa_product_n_to_m[17][17] = {
    {
        1.0, 1.0, 2.0, 6.0, 24.0, 120.0, 720.0, 5040.0, 40320.0, 362880.0, 3628800.0, 39916800.0,
        479001600.0, 6227020800.0, 87178289152.0, 1307674279936.0, 20922788478976.0,
    },
    {
        1.0, 1.0, 2.0, 6.0, 24.0, 120.0, 720.0, 5040.0, 40320.0, 362880.0, 3628800.0, 39916800.0,
        479001600.0, 6227020800.0, 87178289152.0, 1307674279936.0, 20922788478976.0,
    },
    {
        2.0, 2.0, 2.0, 6.0, 24.0, 120.0, 720.0, 5040.0, 40320.0, 362880.0, 3628800.0, 39916800.0,
        479001600.0, 6227020800.0, 87178289152.0, 1307674279936.0, 20922788478976.0,
    },
    {
        6.0, 6.0, 6.0, 3.0, 12.0, 60.0, 360.0, 2520.0, 20160.0, 181440.0, 1814400.0, 19958400.0,
        239500800.0, 3113510400.0, 43589144576.0, 653837139968.0, 10461394239488.0,
    },
    {
        24.0, 24.0, 24.0, 12.0, 4.0, 20.0, 120.0, 840.0, 6720.0, 60480.0, 604800.0, 6652800.0,
        79833600.0, 1037836800.0, 14529715200.0, 217945735168.0, 3487131762688.0,
    },
    {
        120.0, 120.0, 120.0, 60.0, 20.0, 5.0, 30.0, 210.0, 1680.0, 15120.0, 151200.0, 1663200.0,
        19958400.0, 259459200.0, 3632428800.0, 54486433792.0, 871782940672.0,
    },
    {
        720.0, 720.0, 720.0, 360.0, 120.0, 30.0, 6.0, 42.0, 336.0, 3024.0, 30240.0, 332640.0,
        3991680.0, 51891840.0, 726485760.0, 10897286144.0, 174356578304.0,
    },
    {
        5040.0, 5040.0, 5040.0, 2520.0, 840.0, 210.0, 42.0, 7.0, 56.0, 504.0, 5040.0, 55440.0,
        665280.0, 8648640.0, 121080960.0, 1816214400.0, 29059430400.0,
    },
    {
        40320.0, 40320.0, 40320.0, 20160.0, 6720.0, 1680.0, 336.0, 56.0, 8.0, 72.0, 720.0, 7920.0,
        95040.0, 1235520.0, 17297280.0, 259459200.0, 4151347200.0,
    },
    {
        362880.0, 362880.0, 362880.0, 181440.0, 60480.0, 15120.0, 3024.0, 504.0, 72.0, 9.0, 90.0,
        990.0, 11880.0, 154440.0, 2162160.0, 32432400.0, 518918400.0,
    },
    {
        3628800.0, 3628800.0, 3628800.0, 1814400.0, 604800.0, 151200.0, 30240.0, 5040.0, 720.0,
        90.0, 10.0, 110.0, 1320.0, 17160.0, 240240.0, 3603600.0, 57657600.0,
    },
    {
        39916800.0, 39916800.0, 39916800.0, 19958400.0, 6652800.0, 1663200.0, 332640.0, 55440.0,
        7920.0, 990.0, 110.0, 11.0, 132.0, 1716.0, 24024.0, 360360.0, 5765760.0,
    },
    {
        479001600.0, 479001600.0, 479001600.0, 239500800.0, 79833600.0, 19958400.0, 3991680.0,
        665280.0, 95040.0, 11880.0, 1320.0, 132.0, 12.0, 156.0, 2184.0, 32760.0, 524160.0,
    },
    {
        6227020800.0, 6227020800.0, 6227020800.0, 3113510400.0, 1037836800.0, 259459200.0,
        51891840.0, 8648640.0, 1235520.0, 154440.0, 17160.0, 1716.0, 156.0, 13.0, 182.0, 2730.0,
        43680.0,
    },
    {
        87178289152.0, 87178289152.0, 87178289152.0, 43589144576.0, 14529715200.0, 3632428800.0,
        726485760.0, 121080960.0, 17297280.0, 2162160.0, 240240.0, 24024.0, 2184.0, 182.0, 14.0,
        210.0, 3360.0,
    },
    {
        1307674279936.0, 1307674279936.0, 1307674279936.0, 653837139968.0, 217945735168.0,
        54486433792.0, 10897286144.0, 1816214400.0, 259459200.0, 32432400.0, 3603600.0, 360360.0,
        32760.0, 2730.0, 210.0, 15.0, 240.0,
    },
    {20922788478976.0, 20922788478976.0, 20922788478976.0, 10461394239488.0, 3487131762688.0,
     871782940672.0, 174356578304.0, 29059430400.0, 4151347200.0, 518918400.0, 57657600.0,
     5765760.0, 524160.0, 43680.0, 3360.0, 240.0, 16.0}};

const FLOAT32 ia_hoa_cos_table_compute_fade_win_for_dir_based_syn[2048] = {
    0.0000000f, 0.0000023f, 0.0000094f, 0.0000211f, 0.0000376f, 0.0000588f, 0.0000847f,
    0.0001152f, 0.0001505f, 0.0001905f, 0.0002352f, 0.0002846f, 0.0003388f, 0.0003976f,
    0.0004611f, 0.0005293f, 0.0006022f, 0.0006798f, 0.0007622f, 0.0008492f, 0.0009409f,
    0.0010373f, 0.0011384f, 0.0012442f, 0.0013547f, 0.0014699f, 0.0015898f, 0.0017144f,
    0.0018436f, 0.0019776f, 0.0021162f, 0.0022596f, 0.0024076f, 0.0025603f, 0.0027177f,
    0.0028797f, 0.0030465f, 0.0032179f, 0.0033940f, 0.0035747f, 0.0037602f, 0.0039503f,
    0.0041451f, 0.0043445f, 0.0045486f, 0.0047574f, 0.0049708f, 0.0051889f, 0.0054117f,
    0.0056391f, 0.0058712f, 0.0061079f, 0.0063492f, 0.0065952f, 0.0068459f, 0.0071012f,
    0.0073611f, 0.0076257f, 0.0078949f, 0.0081687f, 0.0084472f, 0.0087303f, 0.0090180f,
    0.0093104f, 0.0096073f, 0.0099089f, 0.0102151f, 0.0105259f, 0.0108413f, 0.0111613f,
    0.0114859f, 0.0118151f, 0.0121489f, 0.0124873f, 0.0128303f, 0.0131778f, 0.0135300f,
    0.0138867f, 0.0142480f, 0.0146139f, 0.0149843f, 0.0153593f, 0.0157389f, 0.0161230f,
    0.0165117f, 0.0169049f, 0.0173027f, 0.0177051f, 0.0181119f, 0.0185233f, 0.0189392f,
    0.0193597f, 0.0197847f, 0.0202142f, 0.0206482f, 0.0210867f, 0.0215298f, 0.0219773f,
    0.0224294f, 0.0228859f, 0.0233469f, 0.0238124f, 0.0242824f, 0.0247569f, 0.0252359f,
    0.0257193f, 0.0262072f, 0.0266995f, 0.0271963f, 0.0276975f, 0.0282032f, 0.0287134f,
    0.0292279f, 0.0297469f, 0.0302703f, 0.0307982f, 0.0313304f, 0.0318671f, 0.0324082f,
    0.0329537f, 0.0335036f, 0.0340578f, 0.0346165f, 0.0351795f, 0.0357469f, 0.0363187f,
    0.0368948f, 0.0374753f, 0.0380602f, 0.0386494f, 0.0392429f, 0.0398408f, 0.0404430f,
    0.0410496f, 0.0416604f, 0.0422756f, 0.0428951f, 0.0435189f, 0.0441469f, 0.0447793f,
    0.0454160f, 0.0460569f, 0.0467021f, 0.0473516f, 0.0480053f, 0.0486633f, 0.0493255f,
    0.0499920f, 0.0506627f, 0.0513377f, 0.0520168f, 0.0527002f, 0.0533878f, 0.0540796f,
    0.0547756f, 0.0554758f, 0.0561801f, 0.0568887f, 0.0576014f, 0.0583183f, 0.0590393f,
    0.0597645f, 0.0604938f, 0.0612273f, 0.0619649f, 0.0627066f, 0.0634525f, 0.0642024f,
    0.0649565f, 0.0657146f, 0.0664768f, 0.0672431f, 0.0680135f, 0.0687880f, 0.0695665f,
    0.0703490f, 0.0711356f, 0.0719263f, 0.0727210f, 0.0735196f, 0.0743224f, 0.0751291f,
    0.0759398f, 0.0767545f, 0.0775732f, 0.0783958f, 0.0792225f, 0.0800531f, 0.0808876f,
    0.0817261f, 0.0825685f, 0.0834149f, 0.0842651f, 0.0851193f, 0.0859774f, 0.0868394f,
    0.0877053f, 0.0885751f, 0.0894487f, 0.0903262f, 0.0912075f, 0.0920927f, 0.0929818f,
    0.0938747f, 0.0947714f, 0.0956719f, 0.0965762f, 0.0974843f, 0.0983962f, 0.0993119f,
    0.1002313f, 0.1011545f, 0.1020815f, 0.1030122f, 0.1039467f, 0.1048848f, 0.1058267f,
    0.1067723f, 0.1077217f, 0.1086747f, 0.1096313f, 0.1105917f, 0.1115557f, 0.1125234f,
    0.1134947f, 0.1144697f, 0.1154483f, 0.1164305f, 0.1174163f, 0.1184057f, 0.1193988f,
    0.1203954f, 0.1213955f, 0.1223993f, 0.1234066f, 0.1244174f, 0.1254318f, 0.1264496f,
    0.1274711f, 0.1284960f, 0.1295244f, 0.1305563f, 0.1315917f, 0.1326305f, 0.1336728f,
    0.1347186f, 0.1357678f, 0.1368204f, 0.1378764f, 0.1389359f, 0.1399987f, 0.1410649f,
    0.1421345f, 0.1432075f, 0.1442839f, 0.1453635f, 0.1464466f, 0.1475329f, 0.1486226f,
    0.1497156f, 0.1508118f, 0.1519114f, 0.1530142f, 0.1541203f, 0.1552297f, 0.1563423f,
    0.1574581f, 0.1585772f, 0.1596995f, 0.1608249f, 0.1619536f, 0.1630854f, 0.1642205f,
    0.1653587f, 0.1665000f, 0.1676445f, 0.1687921f, 0.1699428f, 0.1710966f, 0.1722535f,
    0.1734135f, 0.1745766f, 0.1757427f, 0.1769119f, 0.1780842f, 0.1792594f, 0.1804377f,
    0.1816190f, 0.1828033f, 0.1839906f, 0.1851808f, 0.1863740f, 0.1875702f, 0.1887693f,
    0.1899713f, 0.1911763f, 0.1923842f, 0.1935949f, 0.1948085f, 0.1960251f, 0.1972444f,
    0.1984667f, 0.1996917f, 0.2009196f, 0.2021503f, 0.2033838f, 0.2046201f, 0.2058592f,
    0.2071010f, 0.2083456f, 0.2095930f, 0.2108431f, 0.2120959f, 0.2133514f, 0.2146096f,
    0.2158705f, 0.2171340f, 0.2184003f, 0.2196692f, 0.2209407f, 0.2222148f, 0.2234916f,
    0.2247710f, 0.2260529f, 0.2273375f, 0.2286246f, 0.2299142f, 0.2312064f, 0.2325011f,
    0.2337984f, 0.2350981f, 0.2364004f, 0.2377051f, 0.2390123f, 0.2403220f, 0.2416341f,
    0.2429486f, 0.2442655f, 0.2455849f, 0.2469066f, 0.2482308f, 0.2495573f, 0.2508861f,
    0.2522173f, 0.2535509f, 0.2548867f, 0.2562249f, 0.2575653f, 0.2589081f, 0.2602531f,
    0.2616003f, 0.2629498f, 0.2643016f, 0.2656555f, 0.2670117f, 0.2683701f, 0.2697306f,
    0.2710933f, 0.2724582f, 0.2738252f, 0.2751943f, 0.2765655f, 0.2779389f, 0.2793143f,
    0.2806918f, 0.2820714f, 0.2834530f, 0.2848367f, 0.2862224f, 0.2876101f, 0.2889998f,
    0.2903915f, 0.2917852f, 0.2931808f, 0.2945784f, 0.2959779f, 0.2973793f, 0.2987826f,
    0.3001879f, 0.3015950f, 0.3030039f, 0.3044148f, 0.3058274f, 0.3072419f, 0.3086582f,
    0.3100763f, 0.3114962f, 0.3129179f, 0.3143414f, 0.3157665f, 0.3171935f, 0.3186221f,
    0.3200524f, 0.3214845f, 0.3229182f, 0.3243536f, 0.3257906f, 0.3272293f, 0.3286696f,
    0.3301115f, 0.3315550f, 0.3330001f, 0.3344468f, 0.3358950f, 0.3373448f, 0.3387961f,
    0.3402489f, 0.3417033f, 0.3431591f, 0.3446164f, 0.3460751f, 0.3475353f, 0.3489970f,
    0.3504600f, 0.3519245f, 0.3533904f, 0.3548576f, 0.3563262f, 0.3577962f, 0.3592675f,
    0.3607401f, 0.3622140f, 0.3636893f, 0.3651658f, 0.3666436f, 0.3681226f, 0.3696029f,
    0.3710844f, 0.3725671f, 0.3740510f, 0.3755361f, 0.3770224f, 0.3785099f, 0.3799984f,
    0.3814881f, 0.3829790f, 0.3844709f, 0.3859639f, 0.3874580f, 0.3889531f, 0.3904493f,
    0.3919466f, 0.3934448f, 0.3949440f, 0.3964443f, 0.3979455f, 0.3994476f, 0.4009507f,
    0.4024548f, 0.4039598f, 0.4054656f, 0.4069724f, 0.4084800f, 0.4099885f, 0.4114978f,
    0.4130080f, 0.4145190f, 0.4160308f, 0.4175434f, 0.4190568f, 0.4205709f, 0.4220858f,
    0.4236014f, 0.4251177f, 0.4266347f, 0.4281524f, 0.4296708f, 0.4311899f, 0.4327096f,
    0.4342299f, 0.4357509f, 0.4372725f, 0.4387946f, 0.4403173f, 0.4418406f, 0.4433645f,
    0.4448888f, 0.4464137f, 0.4479391f, 0.4494650f, 0.4509914f, 0.4525182f, 0.4540455f,
    0.4555732f, 0.4571013f, 0.4586298f, 0.4601587f, 0.4616880f, 0.4632177f, 0.4647477f,
    0.4662780f, 0.4678086f, 0.4693396f, 0.4708708f, 0.4724023f, 0.4739341f, 0.4754661f,
    0.4769984f, 0.4785308f, 0.4800635f, 0.4815963f, 0.4831294f, 0.4846625f, 0.4861959f,
    0.4877293f, 0.4892629f, 0.4907966f, 0.4923303f, 0.4938642f, 0.4953981f, 0.4969320f,
    0.4984660f, 0.5000000f, 0.5015339f, 0.5030679f, 0.5046018f, 0.5061357f, 0.5076696f,
    0.5092033f, 0.5107370f, 0.5122706f, 0.5138040f, 0.5153374f, 0.5168705f, 0.5184036f,
    0.5199364f, 0.5214691f, 0.5230015f, 0.5245338f, 0.5260658f, 0.5275976f, 0.5291291f,
    0.5306603f, 0.5321913f, 0.5337219f, 0.5352522f, 0.5367822f, 0.5383119f, 0.5398412f,
    0.5413701f, 0.5428986f, 0.5444267f, 0.5459544f, 0.5474817f, 0.5490085f, 0.5505349f,
    0.5520608f, 0.5535862f, 0.5551111f, 0.5566354f, 0.5581593f, 0.5596826f, 0.5612053f,
    0.5627274f, 0.5642490f, 0.5657700f, 0.5672903f, 0.5688100f, 0.5703291f, 0.5718475f,
    0.5733652f, 0.5748822f, 0.5763985f, 0.5779141f, 0.5794290f, 0.5809431f, 0.5824565f,
    0.5839691f, 0.5854809f, 0.5869919f, 0.5885021f, 0.5900114f, 0.5915199f, 0.5930275f,
    0.5945343f, 0.5960401f, 0.5975451f, 0.5990492f, 0.6005523f, 0.6020544f, 0.6035556f,
    0.6050559f, 0.6065551f, 0.6080533f, 0.6095506f, 0.6110468f, 0.6125419f, 0.6140360f,
    0.6155290f, 0.6170209f, 0.6185118f, 0.6200015f, 0.6214900f, 0.6229775f, 0.6244638f,
    0.6259489f, 0.6274328f, 0.6289155f, 0.6303970f, 0.6318773f, 0.6333563f, 0.6348341f,
    0.6363106f, 0.6377859f, 0.6392598f, 0.6407324f, 0.6422037f, 0.6436737f, 0.6451423f,
    0.6466095f, 0.6480754f, 0.6495399f, 0.6510029f, 0.6524646f, 0.6539248f, 0.6553835f,
    0.6568408f, 0.6582966f, 0.6597510f, 0.6612038f, 0.6626551f, 0.6641049f, 0.6655531f,
    0.6669998f, 0.6684449f, 0.6698884f, 0.6713303f, 0.6727706f, 0.6742093f, 0.6756463f,
    0.6770817f, 0.6785154f, 0.6799475f, 0.6813778f, 0.6828064f, 0.6842334f, 0.6856585f,
    0.6870820f, 0.6885037f, 0.6899236f, 0.6913417f, 0.6927580f, 0.6941725f, 0.6955851f,
    0.6969960f, 0.6984049f, 0.6998120f, 0.7012173f, 0.7026206f, 0.7040220f, 0.7054215f,
    0.7068191f, 0.7082147f, 0.7096084f, 0.7110001f, 0.7123898f, 0.7137775f, 0.7151632f,
    0.7165469f, 0.7179285f, 0.7193081f, 0.7206856f, 0.7220610f, 0.7234344f, 0.7248056f,
    0.7261747f, 0.7275417f, 0.7289066f, 0.7302693f, 0.7316298f, 0.7329882f, 0.7343444f,
    0.7356983f, 0.7370501f, 0.7383996f, 0.7397468f, 0.7410918f, 0.7424346f, 0.7437750f,
    0.7451132f, 0.7464490f, 0.7477826f, 0.7491138f, 0.7504426f, 0.7517691f, 0.7530933f,
    0.7544150f, 0.7557344f, 0.7570513f, 0.7583658f, 0.7596779f, 0.7609876f, 0.7622948f,
    0.7635995f, 0.7649018f, 0.7662015f, 0.7674988f, 0.7687935f, 0.7700857f, 0.7713753f,
    0.7726624f, 0.7739470f, 0.7752289f, 0.7765083f, 0.7777851f, 0.7790592f, 0.7803307f,
    0.7815996f, 0.7828659f, 0.7841294f, 0.7853903f, 0.7866485f, 0.7879040f, 0.7891568f,
    0.7904069f, 0.7916543f, 0.7928989f, 0.7941407f, 0.7953798f, 0.7966161f, 0.7978496f,
    0.7990803f, 0.8003082f, 0.8015332f, 0.8027555f, 0.8039748f, 0.8051914f, 0.8064050f,
    0.8076157f, 0.8088236f, 0.8100286f, 0.8112306f, 0.8124297f, 0.8136259f, 0.8148191f,
    0.8160093f, 0.8171966f, 0.8183809f, 0.8195622f, 0.8207405f, 0.8219157f, 0.8230880f,
    0.8242572f, 0.8254233f, 0.8265864f, 0.8277464f, 0.8289033f, 0.8300571f, 0.8312078f,
    0.8323554f, 0.8334999f, 0.8346412f, 0.8357794f, 0.8369145f, 0.8380463f, 0.8391750f,
    0.8403004f, 0.8414227f, 0.8425418f, 0.8436576f, 0.8447702f, 0.8458796f, 0.8469857f,
    0.8480885f, 0.8491881f, 0.8502843f, 0.8513773f, 0.8524670f, 0.8535533f, 0.8546364f,
    0.8557160f, 0.8567924f, 0.8578654f, 0.8589350f, 0.8600012f, 0.8610640f, 0.8621235f,
    0.8631795f, 0.8642321f, 0.8652813f, 0.8663271f, 0.8673694f, 0.8684082f, 0.8694436f,
    0.8704755f, 0.8715039f, 0.8725288f, 0.8735503f, 0.8745681f, 0.8755825f, 0.8765933f,
    0.8776006f, 0.8786044f, 0.8796045f, 0.8806011f, 0.8815942f, 0.8825836f, 0.8835694f,
    0.8845516f, 0.8855302f, 0.8865052f, 0.8874765f, 0.8884442f, 0.8894082f, 0.8903686f,
    0.8913252f, 0.8922782f, 0.8932276f, 0.8941732f, 0.8951151f, 0.8960532f, 0.8969877f,
    0.8979184f, 0.8988454f, 0.8997686f, 0.9006880f, 0.9016037f, 0.9025156f, 0.9034237f,
    0.9043280f, 0.9052285f, 0.9061252f, 0.9070181f, 0.9079072f, 0.9087924f, 0.9096737f,
    0.9105512f, 0.9114248f, 0.9122946f, 0.9131605f, 0.9140225f, 0.9148806f, 0.9157348f,
    0.9165850f, 0.9174314f, 0.9182738f, 0.9191123f, 0.9199468f, 0.9207774f, 0.9216041f,
    0.9224267f, 0.9232454f, 0.9240601f, 0.9248708f, 0.9256775f, 0.9264803f, 0.9272789f,
    0.9280736f, 0.9288643f, 0.9296509f, 0.9304334f, 0.9312119f, 0.9319864f, 0.9327568f,
    0.9335231f, 0.9342853f, 0.9350434f, 0.9357975f, 0.9365474f, 0.9372933f, 0.9380350f,
    0.9387726f, 0.9395061f, 0.9402354f, 0.9409606f, 0.9416816f, 0.9423985f, 0.9431112f,
    0.9438198f, 0.9445241f, 0.9452243f, 0.9459203f, 0.9466121f, 0.9472997f, 0.9479831f,
    0.9486622f, 0.9493372f, 0.9500079f, 0.9506744f, 0.9513366f, 0.9519946f, 0.9526483f,
    0.9532978f, 0.9539430f, 0.9545839f, 0.9552206f, 0.9558530f, 0.9564810f, 0.9571048f,
    0.9577243f, 0.9583395f, 0.9589503f, 0.9595569f, 0.9601591f, 0.9607570f, 0.9613505f,
    0.9619397f, 0.9625246f, 0.9631051f, 0.9636812f, 0.9642530f, 0.9648204f, 0.9653834f,
    0.9659421f, 0.9664963f, 0.9670462f, 0.9675917f, 0.9681328f, 0.9686695f, 0.9692017f,
    0.9697296f, 0.9702530f, 0.9707720f, 0.9712865f, 0.9717967f, 0.9723024f, 0.9728036f,
    0.9733004f, 0.9737927f, 0.9742806f, 0.9747640f, 0.9752430f, 0.9757175f, 0.9761875f,
    0.9766530f, 0.9771140f, 0.9775705f, 0.9780226f, 0.9784701f, 0.9789132f, 0.9793517f,
    0.9797857f, 0.9802152f, 0.9806402f, 0.9810607f, 0.9814766f, 0.9818880f, 0.9822948f,
    0.9826972f, 0.9830950f, 0.9834882f, 0.9838769f, 0.9842610f, 0.9846406f, 0.9850156f,
    0.9853860f, 0.9857519f, 0.9861132f, 0.9864699f, 0.9868221f, 0.9871696f, 0.9875126f,
    0.9878510f, 0.9881848f, 0.9885140f, 0.9888386f, 0.9891586f, 0.9894740f, 0.9897848f,
    0.9900910f, 0.9903926f, 0.9906895f, 0.9909819f, 0.9912696f, 0.9915527f, 0.9918312f,
    0.9921050f, 0.9923742f, 0.9926388f, 0.9928987f, 0.9931540f, 0.9934047f, 0.9936507f,
    0.9938920f, 0.9941287f, 0.9943608f, 0.9945882f, 0.9948110f, 0.9950291f, 0.9952425f,
    0.9954513f, 0.9956554f, 0.9958548f, 0.9960496f, 0.9962397f, 0.9964252f, 0.9966059f,
    0.9967820f, 0.9969534f, 0.9971202f, 0.9972822f, 0.9974396f, 0.9975923f, 0.9977403f,
    0.9978837f, 0.9980223f, 0.9981563f, 0.9982855f, 0.9984101f, 0.9985300f, 0.9986452f,
    0.9987557f, 0.9988615f, 0.9989626f, 0.9990590f, 0.9991507f, 0.9992377f, 0.9993201f,
    0.9993977f, 0.9994706f, 0.9995388f, 0.9996023f, 0.9996611f, 0.9997153f, 0.9997647f,
    0.9998094f, 0.9998494f, 0.9998847f, 0.9999152f, 0.9999411f, 0.9999623f, 0.9999788f,
    0.9999905f, 0.9999976f, 1.0000000f, 0.9999976f, 0.9999905f, 0.9999788f, 0.9999623f,
    0.9999411f, 0.9999152f, 0.9998847f, 0.9998494f, 0.9998094f, 0.9997647f, 0.9997153f,
    0.9996611f, 0.9996023f, 0.9995388f, 0.9994706f, 0.9993977f, 0.9993201f, 0.9992377f,
    0.9991507f, 0.9990590f, 0.9989626f, 0.9988615f, 0.9987557f, 0.9986452f, 0.9985300f,
    0.9984101f, 0.9982855f, 0.9981563f, 0.9980223f, 0.9978837f, 0.9977403f, 0.9975923f,
    0.9974396f, 0.9972822f, 0.9971202f, 0.9969534f, 0.9967820f, 0.9966059f, 0.9964252f,
    0.9962397f, 0.9960496f, 0.9958548f, 0.9956554f, 0.9954513f, 0.9952425f, 0.9950291f,
    0.9948110f, 0.9945882f, 0.9943608f, 0.9941287f, 0.9938920f, 0.9936507f, 0.9934047f,
    0.9931540f, 0.9928987f, 0.9926388f, 0.9923742f, 0.9921050f, 0.9918312f, 0.9915527f,
    0.9912696f, 0.9909819f, 0.9906895f, 0.9903926f, 0.9900910f, 0.9897848f, 0.9894740f,
    0.9891586f, 0.9888386f, 0.9885140f, 0.9881848f, 0.9878510f, 0.9875126f, 0.9871696f,
    0.9868221f, 0.9864699f, 0.9861132f, 0.9857519f, 0.9853860f, 0.9850156f, 0.9846406f,
    0.9842610f, 0.9838769f, 0.9834882f, 0.9830950f, 0.9826972f, 0.9822948f, 0.9818880f,
    0.9814766f, 0.9810607f, 0.9806402f, 0.9802152f, 0.9797857f, 0.9793517f, 0.9789132f,
    0.9784701f, 0.9780226f, 0.9775705f, 0.9771140f, 0.9766530f, 0.9761875f, 0.9757175f,
    0.9752430f, 0.9747640f, 0.9742806f, 0.9737927f, 0.9733004f, 0.9728036f, 0.9723024f,
    0.9717967f, 0.9712865f, 0.9707720f, 0.9702530f, 0.9697296f, 0.9692017f, 0.9686695f,
    0.9681328f, 0.9675917f, 0.9670462f, 0.9664963f, 0.9659421f, 0.9653834f, 0.9648204f,
    0.9642530f, 0.9636812f, 0.9631051f, 0.9625246f, 0.9619397f, 0.9613505f, 0.9607570f,
    0.9601591f, 0.9595569f, 0.9589503f, 0.9583395f, 0.9577243f, 0.9571048f, 0.9564810f,
    0.9558530f, 0.9552206f, 0.9545839f, 0.9539430f, 0.9532978f, 0.9526483f, 0.9519946f,
    0.9513366f, 0.9506744f, 0.9500079f, 0.9493372f, 0.9486622f, 0.9479831f, 0.9472997f,
    0.9466121f, 0.9459203f, 0.9452243f, 0.9445241f, 0.9438198f, 0.9431112f, 0.9423985f,
    0.9416816f, 0.9409606f, 0.9402354f, 0.9395061f, 0.9387726f, 0.9380350f, 0.9372933f,
    0.9365474f, 0.9357975f, 0.9350434f, 0.9342853f, 0.9335231f, 0.9327568f, 0.9319864f,
    0.9312119f, 0.9304334f, 0.9296509f, 0.9288643f, 0.9280736f, 0.9272789f, 0.9264803f,
    0.9256775f, 0.9248708f, 0.9240601f, 0.9232454f, 0.9224267f, 0.9216041f, 0.9207774f,
    0.9199468f, 0.9191123f, 0.9182738f, 0.9174314f, 0.9165850f, 0.9157348f, 0.9148806f,
    0.9140225f, 0.9131605f, 0.9122946f, 0.9114248f, 0.9105512f, 0.9096737f, 0.9087924f,
    0.9079072f, 0.9070181f, 0.9061252f, 0.9052285f, 0.9043280f, 0.9034237f, 0.9025156f,
    0.9016037f, 0.9006880f, 0.8997686f, 0.8988454f, 0.8979184f, 0.8969877f, 0.8960532f,
    0.8951151f, 0.8941732f, 0.8932276f, 0.8922782f, 0.8913252f, 0.8903686f, 0.8894082f,
    0.8884442f, 0.8874765f, 0.8865052f, 0.8855302f, 0.8845516f, 0.8835694f, 0.8825836f,
    0.8815942f, 0.8806011f, 0.8796045f, 0.8786044f, 0.8776006f, 0.8765933f, 0.8755825f,
    0.8745681f, 0.8735503f, 0.8725288f, 0.8715039f, 0.8704755f, 0.8694436f, 0.8684082f,
    0.8673694f, 0.8663271f, 0.8652813f, 0.8642321f, 0.8631795f, 0.8621235f, 0.8610640f,
    0.8600012f, 0.8589350f, 0.8578654f, 0.8567924f, 0.8557160f, 0.8546364f, 0.8535533f,
    0.8524670f, 0.8513773f, 0.8502843f, 0.8491881f, 0.8480885f, 0.8469857f, 0.8458796f,
    0.8447702f, 0.8436576f, 0.8425418f, 0.8414227f, 0.8403004f, 0.8391750f, 0.8380463f,
    0.8369145f, 0.8357794f, 0.8346412f, 0.8334999f, 0.8323554f, 0.8312078f, 0.8300571f,
    0.8289033f, 0.8277464f, 0.8265864f, 0.8254233f, 0.8242572f, 0.8230880f, 0.8219157f,
    0.8207405f, 0.8195622f, 0.8183809f, 0.8171966f, 0.8160093f, 0.8148191f, 0.8136259f,
    0.8124297f, 0.8112306f, 0.8100286f, 0.8088236f, 0.8076157f, 0.8064050f, 0.8051914f,
    0.8039748f, 0.8027555f, 0.8015332f, 0.8003082f, 0.7990803f, 0.7978496f, 0.7966161f,
    0.7953798f, 0.7941407f, 0.7928989f, 0.7916543f, 0.7904069f, 0.7891568f, 0.7879040f,
    0.7866485f, 0.7853903f, 0.7841294f, 0.7828659f, 0.7815996f, 0.7803307f, 0.7790592f,
    0.7777851f, 0.7765083f, 0.7752289f, 0.7739470f, 0.7726624f, 0.7713753f, 0.7700857f,
    0.7687935f, 0.7674988f, 0.7662015f, 0.7649018f, 0.7635995f, 0.7622948f, 0.7609876f,
    0.7596779f, 0.7583658f, 0.7570513f, 0.7557344f, 0.7544150f, 0.7530933f, 0.7517691f,
    0.7504426f, 0.7491138f, 0.7477826f, 0.7464490f, 0.7451132f, 0.7437750f, 0.7424346f,
    0.7410918f, 0.7397468f, 0.7383996f, 0.7370501f, 0.7356983f, 0.7343444f, 0.7329882f,
    0.7316298f, 0.7302693f, 0.7289066f, 0.7275417f, 0.7261747f, 0.7248056f, 0.7234344f,
    0.7220610f, 0.7206856f, 0.7193081f, 0.7179285f, 0.7165469f, 0.7151632f, 0.7137775f,
    0.7123898f, 0.7110001f, 0.7096084f, 0.7082147f, 0.7068191f, 0.7054215f, 0.7040220f,
    0.7026206f, 0.7012173f, 0.6998120f, 0.6984049f, 0.6969960f, 0.6955851f, 0.6941725f,
    0.6927580f, 0.6913417f, 0.6899236f, 0.6885037f, 0.6870820f, 0.6856585f, 0.6842334f,
    0.6828064f, 0.6813778f, 0.6799475f, 0.6785154f, 0.6770817f, 0.6756463f, 0.6742093f,
    0.6727706f, 0.6713303f, 0.6698884f, 0.6684449f, 0.6669998f, 0.6655531f, 0.6641049f,
    0.6626551f, 0.6612038f, 0.6597510f, 0.6582966f, 0.6568408f, 0.6553835f, 0.6539248f,
    0.6524646f, 0.6510029f, 0.6495399f, 0.6480754f, 0.6466095f, 0.6451423f, 0.6436737f,
    0.6422037f, 0.6407324f, 0.6392598f, 0.6377859f, 0.6363106f, 0.6348341f, 0.6333563f,
    0.6318773f, 0.6303970f, 0.6289155f, 0.6274328f, 0.6259489f, 0.6244638f, 0.6229775f,
    0.6214900f, 0.6200015f, 0.6185118f, 0.6170209f, 0.6155290f, 0.6140360f, 0.6125419f,
    0.6110468f, 0.6095506f, 0.6080533f, 0.6065551f, 0.6050559f, 0.6035556f, 0.6020544f,
    0.6005523f, 0.5990492f, 0.5975451f, 0.5960401f, 0.5945343f, 0.5930275f, 0.5915199f,
    0.5900114f, 0.5885021f, 0.5869919f, 0.5854809f, 0.5839691f, 0.5824565f, 0.5809431f,
    0.5794290f, 0.5779141f, 0.5763985f, 0.5748822f, 0.5733652f, 0.5718475f, 0.5703291f,
    0.5688100f, 0.5672903f, 0.5657700f, 0.5642490f, 0.5627274f, 0.5612053f, 0.5596826f,
    0.5581593f, 0.5566354f, 0.5551111f, 0.5535862f, 0.5520608f, 0.5505349f, 0.5490085f,
    0.5474817f, 0.5459544f, 0.5444267f, 0.5428986f, 0.5413701f, 0.5398412f, 0.5383119f,
    0.5367822f, 0.5352522f, 0.5337219f, 0.5321913f, 0.5306603f, 0.5291291f, 0.5275976f,
    0.5260658f, 0.5245338f, 0.5230015f, 0.5214691f, 0.5199364f, 0.5184036f, 0.5168705f,
    0.5153374f, 0.5138040f, 0.5122706f, 0.5107370f, 0.5092033f, 0.5076696f, 0.5061357f,
    0.5046018f, 0.5030679f, 0.5015339f, 0.5000000f, 0.4984660f, 0.4969320f, 0.4953981f,
    0.4938642f, 0.4923303f, 0.4907966f, 0.4892629f, 0.4877293f, 0.4861959f, 0.4846625f,
    0.4831294f, 0.4815963f, 0.4800635f, 0.4785308f, 0.4769984f, 0.4754661f, 0.4739341f,
    0.4724023f, 0.4708708f, 0.4693396f, 0.4678086f, 0.4662780f, 0.4647477f, 0.4632177f,
    0.4616880f, 0.4601587f, 0.4586298f, 0.4571013f, 0.4555732f, 0.4540455f, 0.4525182f,
    0.4509914f, 0.4494650f, 0.4479391f, 0.4464137f, 0.4448888f, 0.4433645f, 0.4418406f,
    0.4403173f, 0.4387946f, 0.4372725f, 0.4357509f, 0.4342299f, 0.4327096f, 0.4311899f,
    0.4296708f, 0.4281524f, 0.4266347f, 0.4251177f, 0.4236014f, 0.4220858f, 0.4205709f,
    0.4190568f, 0.4175434f, 0.4160308f, 0.4145190f, 0.4130080f, 0.4114978f, 0.4099885f,
    0.4084800f, 0.4069724f, 0.4054656f, 0.4039598f, 0.4024548f, 0.4009507f, 0.3994476f,
    0.3979455f, 0.3964443f, 0.3949440f, 0.3934448f, 0.3919466f, 0.3904493f, 0.3889531f,
    0.3874580f, 0.3859639f, 0.3844709f, 0.3829790f, 0.3814881f, 0.3799984f, 0.3785099f,
    0.3770224f, 0.3755361f, 0.3740510f, 0.3725671f, 0.3710844f, 0.3696029f, 0.3681226f,
    0.3666436f, 0.3651658f, 0.3636893f, 0.3622140f, 0.3607401f, 0.3592675f, 0.3577962f,
    0.3563262f, 0.3548576f, 0.3533904f, 0.3519245f, 0.3504600f, 0.3489970f, 0.3475353f,
    0.3460751f, 0.3446164f, 0.3431591f, 0.3417033f, 0.3402489f, 0.3387961f, 0.3373448f,
    0.3358950f, 0.3344468f, 0.3330001f, 0.3315550f, 0.3301115f, 0.3286696f, 0.3272293f,
    0.3257906f, 0.3243536f, 0.3229182f, 0.3214845f, 0.3200524f, 0.3186221f, 0.3171935f,
    0.3157665f, 0.3143414f, 0.3129179f, 0.3114962f, 0.3100763f, 0.3086582f, 0.3072419f,
    0.3058274f, 0.3044148f, 0.3030039f, 0.3015950f, 0.3001879f, 0.2987826f, 0.2973793f,
    0.2959779f, 0.2945784f, 0.2931808f, 0.2917852f, 0.2903915f, 0.2889998f, 0.2876101f,
    0.2862224f, 0.2848367f, 0.2834530f, 0.2820714f, 0.2806918f, 0.2793143f, 0.2779389f,
    0.2765655f, 0.2751943f, 0.2738252f, 0.2724582f, 0.2710933f, 0.2697306f, 0.2683701f,
    0.2670117f, 0.2656555f, 0.2643016f, 0.2629498f, 0.2616003f, 0.2602531f, 0.2589081f,
    0.2575653f, 0.2562249f, 0.2548867f, 0.2535509f, 0.2522173f, 0.2508861f, 0.2495573f,
    0.2482308f, 0.2469066f, 0.2455849f, 0.2442655f, 0.2429486f, 0.2416341f, 0.2403220f,
    0.2390123f, 0.2377051f, 0.2364004f, 0.2350981f, 0.2337984f, 0.2325011f, 0.2312064f,
    0.2299142f, 0.2286246f, 0.2273375f, 0.2260529f, 0.2247710f, 0.2234916f, 0.2222148f,
    0.2209407f, 0.2196692f, 0.2184003f, 0.2171340f, 0.2158705f, 0.2146096f, 0.2133514f,
    0.2120959f, 0.2108431f, 0.2095930f, 0.2083456f, 0.2071010f, 0.2058592f, 0.2046201f,
    0.2033838f, 0.2021503f, 0.2009196f, 0.1996917f, 0.1984667f, 0.1972444f, 0.1960251f,
    0.1948085f, 0.1935949f, 0.1923842f, 0.1911763f, 0.1899713f, 0.1887693f, 0.1875702f,
    0.1863740f, 0.1851808f, 0.1839906f, 0.1828033f, 0.1816190f, 0.1804377f, 0.1792594f,
    0.1780842f, 0.1769119f, 0.1757427f, 0.1745766f, 0.1734135f, 0.1722535f, 0.1710966f,
    0.1699428f, 0.1687921f, 0.1676445f, 0.1665000f, 0.1653587f, 0.1642205f, 0.1630854f,
    0.1619536f, 0.1608249f, 0.1596995f, 0.1585772f, 0.1574581f, 0.1563423f, 0.1552297f,
    0.1541203f, 0.1530142f, 0.1519114f, 0.1508118f, 0.1497156f, 0.1486226f, 0.1475329f,
    0.1464466f, 0.1453635f, 0.1442839f, 0.1432075f, 0.1421345f, 0.1410649f, 0.1399987f,
    0.1389359f, 0.1378764f, 0.1368204f, 0.1357678f, 0.1347186f, 0.1336728f, 0.1326305f,
    0.1315917f, 0.1305563f, 0.1295244f, 0.1284960f, 0.1274711f, 0.1264496f, 0.1254318f,
    0.1244174f, 0.1234066f, 0.1223993f, 0.1213955f, 0.1203954f, 0.1193988f, 0.1184057f,
    0.1174163f, 0.1164305f, 0.1154483f, 0.1144697f, 0.1134947f, 0.1125234f, 0.1115557f,
    0.1105917f, 0.1096313f, 0.1086747f, 0.1077217f, 0.1067723f, 0.1058267f, 0.1048848f,
    0.1039467f, 0.1030122f, 0.1020815f, 0.1011545f, 0.1002313f, 0.0993119f, 0.0983962f,
    0.0974843f, 0.0965762f, 0.0956719f, 0.0947714f, 0.0938747f, 0.0929818f, 0.0920927f,
    0.0912075f, 0.0903262f, 0.0894487f, 0.0885751f, 0.0877053f, 0.0868394f, 0.0859774f,
    0.0851193f, 0.0842651f, 0.0834149f, 0.0825685f, 0.0817261f, 0.0808876f, 0.0800531f,
    0.0792225f, 0.0783958f, 0.0775732f, 0.0767545f, 0.0759398f, 0.0751291f, 0.0743224f,
    0.0735196f, 0.0727210f, 0.0719263f, 0.0711356f, 0.0703490f, 0.0695665f, 0.0687880f,
    0.0680135f, 0.0672431f, 0.0664768f, 0.0657146f, 0.0649565f, 0.0642024f, 0.0634525f,
    0.0627066f, 0.0619649f, 0.0612273f, 0.0604938f, 0.0597645f, 0.0590393f, 0.0583183f,
    0.0576014f, 0.0568887f, 0.0561801f, 0.0554758f, 0.0547756f, 0.0540796f, 0.0533878f,
    0.0527002f, 0.0520168f, 0.0513377f, 0.0506627f, 0.0499920f, 0.0493255f, 0.0486633f,
    0.0480053f, 0.0473516f, 0.0467021f, 0.0460569f, 0.0454160f, 0.0447793f, 0.0441469f,
    0.0435189f, 0.0428951f, 0.0422756f, 0.0416604f, 0.0410496f, 0.0404430f, 0.0398408f,
    0.0392429f, 0.0386494f, 0.0380602f, 0.0374753f, 0.0368948f, 0.0363187f, 0.0357469f,
    0.0351795f, 0.0346165f, 0.0340578f, 0.0335036f, 0.0329537f, 0.0324082f, 0.0318671f,
    0.0313304f, 0.0307982f, 0.0302703f, 0.0297469f, 0.0292279f, 0.0287134f, 0.0282032f,
    0.0276975f, 0.0271963f, 0.0266995f, 0.0262072f, 0.0257193f, 0.0252359f, 0.0247569f,
    0.0242824f, 0.0238124f, 0.0233469f, 0.0228859f, 0.0224294f, 0.0219773f, 0.0215298f,
    0.0210867f, 0.0206482f, 0.0202142f, 0.0197847f, 0.0193597f, 0.0189392f, 0.0185233f,
    0.0181119f, 0.0177051f, 0.0173027f, 0.0169049f, 0.0165117f, 0.0161230f, 0.0157389f,
    0.0153593f, 0.0149843f, 0.0146139f, 0.0142480f, 0.0138867f, 0.0135300f, 0.0131778f,
    0.0128303f, 0.0124873f, 0.0121489f, 0.0118151f, 0.0114859f, 0.0111613f, 0.0108413f,
    0.0105259f, 0.0102151f, 0.0099089f, 0.0096073f, 0.0093104f, 0.0090180f, 0.0087303f,
    0.0084472f, 0.0081687f, 0.0078949f, 0.0076257f, 0.0073611f, 0.0071012f, 0.0068459f,
    0.0065952f, 0.0063492f, 0.0061079f, 0.0058712f, 0.0056391f, 0.0054117f, 0.0051889f,
    0.0049708f, 0.0047574f, 0.0045486f, 0.0043445f, 0.0041451f, 0.0039503f, 0.0037602f,
    0.0035747f, 0.0033940f, 0.0032179f, 0.0030465f, 0.0028797f, 0.0027177f, 0.0025603f,
    0.0024076f, 0.0022596f, 0.0021162f, 0.0019776f, 0.0018436f, 0.0017144f, 0.0015898f,
    0.0014699f, 0.0013547f, 0.0012442f, 0.0011384f, 0.0010373f, 0.0009409f, 0.0008492f,
    0.0007622f, 0.0006798f, 0.0006022f, 0.0005293f, 0.0004611f, 0.0003976f, 0.0003388f,
    0.0002846f, 0.0002352f, 0.0001905f, 0.0001505f, 0.0001152f, 0.0000847f, 0.0000588f,
    0.0000376f, 0.0000211f, 0.0000094f, 0.0000023f};

const FLOAT32 ia_hoa_cos_table_inv_dyn_correction_compute_win_func[1024] = {
    1.0000000f, 0.9999988f, 0.9999952f, 0.9999893f, 0.9999811f, 0.9999705f, 0.9999575f,
    0.9999422f, 0.9999245f, 0.9999045f, 0.9998821f, 0.9998573f, 0.9998302f, 0.9998008f,
    0.9997689f, 0.9997348f, 0.9996982f, 0.9996593f, 0.9996181f, 0.9995745f, 0.9995286f,
    0.9994803f, 0.9994296f, 0.9993766f, 0.9993212f, 0.9992635f, 0.9992035f, 0.9991411f,
    0.9990763f, 0.9990092f, 0.9989397f, 0.9988679f, 0.9987938f, 0.9987173f, 0.9986384f,
    0.9985572f, 0.9984737f, 0.9983878f, 0.9982996f, 0.9982091f, 0.9981162f, 0.9980209f,
    0.9979233f, 0.9978234f, 0.9977212f, 0.9976166f, 0.9975096f, 0.9974004f, 0.9972888f,
    0.9971749f, 0.9970586f, 0.9969400f, 0.9968191f, 0.9966959f, 0.9965703f, 0.9964424f,
    0.9963122f, 0.9961796f, 0.9960448f, 0.9959076f, 0.9957681f, 0.9956263f, 0.9954821f,
    0.9953357f, 0.9951869f, 0.9950358f, 0.9948824f, 0.9947267f, 0.9945687f, 0.9944084f,
    0.9942458f, 0.9940809f, 0.9939136f, 0.9937441f, 0.9935723f, 0.9933982f, 0.9932218f,
    0.9930431f, 0.9928621f, 0.9926788f, 0.9924932f, 0.9923053f, 0.9921152f, 0.9919227f,
    0.9917280f, 0.9915310f, 0.9913317f, 0.9911302f, 0.9909264f, 0.9907203f, 0.9905119f,
    0.9903013f, 0.9900884f, 0.9898732f, 0.9896558f, 0.9894361f, 0.9892141f, 0.9889899f,
    0.9887635f, 0.9885348f, 0.9883038f, 0.9880706f, 0.9878352f, 0.9875975f, 0.9873575f,
    0.9871154f, 0.9868709f, 0.9866243f, 0.9863754f, 0.9861243f, 0.9858710f, 0.9856154f,
    0.9853577f, 0.9850977f, 0.9848355f, 0.9845710f, 0.9843044f, 0.9840355f, 0.9837645f,
    0.9834912f, 0.9832158f, 0.9829381f, 0.9826582f, 0.9823762f, 0.9820919f, 0.9818055f,
    0.9815169f, 0.9812261f, 0.9809331f, 0.9806379f, 0.9803406f, 0.9800411f, 0.9797394f,
    0.9794356f, 0.9791295f, 0.9788214f, 0.9785110f, 0.9781986f, 0.9778839f, 0.9775671f,
    0.9772482f, 0.9769271f, 0.9766039f, 0.9762786f, 0.9759511f, 0.9756215f, 0.9752897f,
    0.9749559f, 0.9746199f, 0.9742818f, 0.9739415f, 0.9735992f, 0.9732548f, 0.9729082f,
    0.9725596f, 0.9722088f, 0.9718560f, 0.9715010f, 0.9711440f, 0.9707849f, 0.9704237f,
    0.9700604f, 0.9696951f, 0.9693276f, 0.9689582f, 0.9685866f, 0.9682130f, 0.9678373f,
    0.9674596f, 0.9670798f, 0.9666980f, 0.9663141f, 0.9659282f, 0.9655403f, 0.9651503f,
    0.9647583f, 0.9643642f, 0.9639682f, 0.9635701f, 0.9631700f, 0.9627679f, 0.9623638f,
    0.9619577f, 0.9615496f, 0.9611395f, 0.9607274f, 0.9603133f, 0.9598973f, 0.9594792f,
    0.9590592f, 0.9586372f, 0.9582133f, 0.9577873f, 0.9573595f, 0.9569296f, 0.9564978f,
    0.9560641f, 0.9556284f, 0.9551908f, 0.9547513f, 0.9543098f, 0.9538664f, 0.9534210f,
    0.9529738f, 0.9525246f, 0.9520735f, 0.9516206f, 0.9511657f, 0.9507089f, 0.9502502f,
    0.9497897f, 0.9493272f, 0.9488629f, 0.9483967f, 0.9479286f, 0.9474587f, 0.9469869f,
    0.9465132f, 0.9460377f, 0.9455604f, 0.9450811f, 0.9446001f, 0.9441172f, 0.9436325f,
    0.9431460f, 0.9426576f, 0.9421674f, 0.9416755f, 0.9411817f, 0.9406861f, 0.9401887f,
    0.9396895f, 0.9391885f, 0.9386857f, 0.9381812f, 0.9376749f, 0.9371668f, 0.9366569f,
    0.9361453f, 0.9356320f, 0.9351168f, 0.9346000f, 0.9340814f, 0.9335610f, 0.9330390f,
    0.9325152f, 0.9319896f, 0.9314624f, 0.9309335f, 0.9304028f, 0.9298705f, 0.9293364f,
    0.9288007f, 0.9282632f, 0.9277241f, 0.9271833f, 0.9266409f, 0.9260968f, 0.9255510f,
    0.9250035f, 0.9244544f, 0.9239037f, 0.9233513f, 0.9227973f, 0.9222417f, 0.9216844f,
    0.9211255f, 0.9205650f, 0.9200029f, 0.9194392f, 0.9188739f, 0.9183070f, 0.9177385f,
    0.9171685f, 0.9165968f, 0.9160236f, 0.9154488f, 0.9148725f, 0.9142946f, 0.9137151f,
    0.9131341f, 0.9125516f, 0.9119676f, 0.9113820f, 0.9107949f, 0.9102062f, 0.9096161f,
    0.9090244f, 0.9084313f, 0.9078367f, 0.9072405f, 0.9066429f, 0.9060438f, 0.9054433f,
    0.9048413f, 0.9042378f, 0.9036328f, 0.9030264f, 0.9024186f, 0.9018093f, 0.9011986f,
    0.9005865f, 0.8999730f, 0.8993580f, 0.8987416f, 0.8981239f, 0.8975047f, 0.8968841f,
    0.8962622f, 0.8956389f, 0.8950142f, 0.8943881f, 0.8937607f, 0.8931319f, 0.8925018f,
    0.8918703f, 0.8912375f, 0.8906033f, 0.8899679f, 0.8893311f, 0.8886930f, 0.8880535f,
    0.8874128f, 0.8867708f, 0.8861275f, 0.8854829f, 0.8848371f, 0.8841899f, 0.8835415f,
    0.8828919f, 0.8822410f, 0.8815888f, 0.8809354f, 0.8802808f, 0.8796249f, 0.8789678f,
    0.8783095f, 0.8776500f, 0.8769893f, 0.8763273f, 0.8756642f, 0.8750000f, 0.8743345f,
    0.8736678f, 0.8730000f, 0.8723311f, 0.8716609f, 0.8709897f, 0.8703173f, 0.8696437f,
    0.8689690f, 0.8682932f, 0.8676163f, 0.8669383f, 0.8662592f, 0.8655790f, 0.8648976f,
    0.8642152f, 0.8635318f, 0.8628472f, 0.8621616f, 0.8614750f, 0.8607872f, 0.8600985f,
    0.8594087f, 0.8587179f, 0.8580260f, 0.8573331f, 0.8566392f, 0.8559443f, 0.8552485f,
    0.8545516f, 0.8538537f, 0.8531549f, 0.8524550f, 0.8517542f, 0.8510525f, 0.8503498f,
    0.8496461f, 0.8489416f, 0.8482360f, 0.8475296f, 0.8468222f, 0.8461139f, 0.8454048f,
    0.8446947f, 0.8439837f, 0.8432718f, 0.8425591f, 0.8418455f, 0.8411310f, 0.8404156f,
    0.8396994f, 0.8389824f, 0.8382645f, 0.8375458f, 0.8368263f, 0.8361059f, 0.8353847f,
    0.8346628f, 0.8339400f, 0.8332164f, 0.8324921f, 0.8317669f, 0.8310410f, 0.8303144f,
    0.8295870f, 0.8288588f, 0.8281299f, 0.8274002f, 0.8266698f, 0.8259387f, 0.8252069f,
    0.8244744f, 0.8237411f, 0.8230072f, 0.8222726f, 0.8215373f, 0.8208013f, 0.8200647f,
    0.8193274f, 0.8185894f, 0.8178508f, 0.8171116f, 0.8163717f, 0.8156312f, 0.8148901f,
    0.8141484f, 0.8134060f, 0.8126631f, 0.8119196f, 0.8111754f, 0.8104308f, 0.8096855f,
    0.8089397f, 0.8081933f, 0.8074464f, 0.8066989f, 0.8059509f, 0.8052024f, 0.8044533f,
    0.8037038f, 0.8029537f, 0.8022031f, 0.8014521f, 0.8007005f, 0.7999485f, 0.7991960f,
    0.7984431f, 0.7976896f, 0.7969358f, 0.7961815f, 0.7954267f, 0.7946715f, 0.7939160f,
    0.7931599f, 0.7924035f, 0.7916467f, 0.7908895f, 0.7901319f, 0.7893739f, 0.7886156f,
    0.7878569f, 0.7870978f, 0.7863384f, 0.7855787f, 0.7848186f, 0.7840581f, 0.7832974f,
    0.7825363f, 0.7817750f, 0.7810133f, 0.7802514f, 0.7794891f, 0.7787266f, 0.7779638f,
    0.7772008f, 0.7764375f, 0.7756739f, 0.7749101f, 0.7741461f, 0.7733818f, 0.7726173f,
    0.7718526f, 0.7710877f, 0.7703226f, 0.7695573f, 0.7687918f, 0.7680262f, 0.7672604f,
    0.7664944f, 0.7657282f, 0.7649619f, 0.7641955f, 0.7634289f, 0.7626622f, 0.7618954f,
    0.7611285f, 0.7603615f, 0.7595943f, 0.7588271f, 0.7580598f, 0.7572924f, 0.7565250f,
    0.7557575f, 0.7549899f, 0.7542223f, 0.7534547f, 0.7526870f, 0.7519193f, 0.7511516f,
    0.7503838f, 0.7496161f, 0.7488483f, 0.7480806f, 0.7473129f, 0.7465452f, 0.7457776f,
    0.7450100f, 0.7442424f, 0.7434749f, 0.7427075f, 0.7419401f, 0.7411728f, 0.7404056f,
    0.7396384f, 0.7388714f, 0.7381045f, 0.7373377f, 0.7365710f, 0.7358044f, 0.7350380f,
    0.7342717f, 0.7335055f, 0.7327395f, 0.7319737f, 0.7312081f, 0.7304426f, 0.7296773f,
    0.7289122f, 0.7281473f, 0.7273826f, 0.7266181f, 0.7258538f, 0.7250898f, 0.7243260f,
    0.7235624f, 0.7227991f, 0.7220361f, 0.7212733f, 0.7205108f, 0.7197485f, 0.7189866f,
    0.7182249f, 0.7174636f, 0.7167025f, 0.7159418f, 0.7151813f, 0.7144212f, 0.7136615f,
    0.7129021f, 0.7121430f, 0.7113843f, 0.7106260f, 0.7098680f, 0.7091104f, 0.7083532f,
    0.7075964f, 0.7068400f, 0.7060839f, 0.7053284f, 0.7045732f, 0.7038184f, 0.7030641f,
    0.7023103f, 0.7015568f, 0.7008039f, 0.7000514f, 0.6992994f, 0.6985478f, 0.6977968f,
    0.6970462f, 0.6962961f, 0.6955466f, 0.6947975f, 0.6940490f, 0.6933010f, 0.6925535f,
    0.6918066f, 0.6910602f, 0.6903144f, 0.6895691f, 0.6888245f, 0.6880803f, 0.6873368f,
    0.6865939f, 0.6858515f, 0.6851098f, 0.6843687f, 0.6836282f, 0.6828883f, 0.6821491f,
    0.6814105f, 0.6806725f, 0.6799352f, 0.6791986f, 0.6784626f, 0.6777273f, 0.6769927f,
    0.6762588f, 0.6755255f, 0.6747930f, 0.6740612f, 0.6733301f, 0.6725997f, 0.6718700f,
    0.6711411f, 0.6704129f, 0.6696855f, 0.6689589f, 0.6682330f, 0.6675078f, 0.6667835f,
    0.6660599f, 0.6653371f, 0.6646152f, 0.6638940f, 0.6631736f, 0.6624541f, 0.6617354f,
    0.6610175f, 0.6603005f, 0.6595843f, 0.6588689f, 0.6581544f, 0.6574408f, 0.6567281f,
    0.6560162f, 0.6553052f, 0.6545951f, 0.6538860f, 0.6531777f, 0.6524703f, 0.6517639f,
    0.6510583f, 0.6503538f, 0.6496501f, 0.6489474f, 0.6482457f, 0.6475449f, 0.6468450f,
    0.6461462f, 0.6454483f, 0.6447514f, 0.6440556f, 0.6433607f, 0.6426668f, 0.6419739f,
    0.6412820f, 0.6405912f, 0.6399014f, 0.6392127f, 0.6385249f, 0.6378383f, 0.6371527f,
    0.6364681f, 0.6357847f, 0.6351023f, 0.6344209f, 0.6337407f, 0.6330616f, 0.6323836f,
    0.6317067f, 0.6310309f, 0.6303562f, 0.6296826f, 0.6290102f, 0.6283390f, 0.6276688f,
    0.6269999f, 0.6263321f, 0.6256654f, 0.6250000f, 0.6243357f, 0.6236726f, 0.6230106f,
    0.6223499f, 0.6216904f, 0.6210321f, 0.6203750f, 0.6197191f, 0.6190645f, 0.6184111f,
    0.6177589f, 0.6171080f, 0.6164584f, 0.6158100f, 0.6151628f, 0.6145170f, 0.6138724f,
    0.6132291f, 0.6125871f, 0.6119464f, 0.6113069f, 0.6106688f, 0.6100320f, 0.6093966f,
    0.6087624f, 0.6081296f, 0.6074981f, 0.6068680f, 0.6062392f, 0.6056118f, 0.6049857f,
    0.6043610f, 0.6037377f, 0.6031158f, 0.6024952f, 0.6018760f, 0.6012583f, 0.6006419f,
    0.6000269f, 0.5994134f, 0.5988013f, 0.5981906f, 0.5975813f, 0.5969735f, 0.5963671f,
    0.5957621f, 0.5951586f, 0.5945566f, 0.5939561f, 0.5933570f, 0.5927594f, 0.5921632f,
    0.5915686f, 0.5909755f, 0.5903838f, 0.5897937f, 0.5892050f, 0.5886179f, 0.5880323f,
    0.5874483f, 0.5868658f, 0.5862848f, 0.5857053f, 0.5851274f, 0.5845511f, 0.5839763f,
    0.5834031f, 0.5828314f, 0.5822614f, 0.5816929f, 0.5811260f, 0.5805607f, 0.5799970f,
    0.5794349f, 0.5788744f, 0.5783155f, 0.5777582f, 0.5772026f, 0.5766486f, 0.5760962f,
    0.5755455f, 0.5749964f, 0.5744489f, 0.5739031f, 0.5733590f, 0.5728166f, 0.5722758f,
    0.5717367f, 0.5711992f, 0.5706635f, 0.5701294f, 0.5695971f, 0.5690664f, 0.5685375f,
    0.5680103f, 0.5674847f, 0.5669609f, 0.5664389f, 0.5659185f, 0.5653999f, 0.5648831f,
    0.5643679f, 0.5638546f, 0.5633430f, 0.5628331f, 0.5623250f, 0.5618187f, 0.5613142f,
    0.5608114f, 0.5603104f, 0.5598112f, 0.5593138f, 0.5588182f, 0.5583244f, 0.5578325f,
    0.5573423f, 0.5568539f, 0.5563674f, 0.5558827f, 0.5553998f, 0.5549188f, 0.5544395f,
    0.5539622f, 0.5534867f, 0.5530130f, 0.5525412f, 0.5520713f, 0.5516032f, 0.5511370f,
    0.5506727f, 0.5502102f, 0.5497497f, 0.5492910f, 0.5488342f, 0.5483793f, 0.5479264f,
    0.5474753f, 0.5470261f, 0.5465789f, 0.5461335f, 0.5456901f, 0.5452486f, 0.5448091f,
    0.5443715f, 0.5439358f, 0.5435021f, 0.5430703f, 0.5426404f, 0.5422126f, 0.5417866f,
    0.5413627f, 0.5409407f, 0.5405207f, 0.5401026f, 0.5396866f, 0.5392725f, 0.5388604f,
    0.5384503f, 0.5380422f, 0.5376361f, 0.5372320f, 0.5368299f, 0.5364298f, 0.5360317f,
    0.5356357f, 0.5352416f, 0.5348496f, 0.5344596f, 0.5340717f, 0.5336858f, 0.5333019f,
    0.5329201f, 0.5325403f, 0.5321626f, 0.5317869f, 0.5314133f, 0.5310417f, 0.5306723f,
    0.5303048f, 0.5299395f, 0.5295762f, 0.5292150f, 0.5288559f, 0.5284989f, 0.5281439f,
    0.5277911f, 0.5274403f, 0.5270917f, 0.5267451f, 0.5264007f, 0.5260584f, 0.5257181f,
    0.5253800f, 0.5250440f, 0.5247102f, 0.5243784f, 0.5240488f, 0.5237213f, 0.5233960f,
    0.5230728f, 0.5227517f, 0.5224328f, 0.5221160f, 0.5218013f, 0.5214889f, 0.5211785f,
    0.5208704f, 0.5205643f, 0.5202605f, 0.5199588f, 0.5196593f, 0.5193620f, 0.5190668f,
    0.5187738f, 0.5184830f, 0.5181944f, 0.5179080f, 0.5176237f, 0.5173417f, 0.5170618f,
    0.5167841f, 0.5165087f, 0.5162354f, 0.5159644f, 0.5156955f, 0.5154289f, 0.5151644f,
    0.5149022f, 0.5146422f, 0.5143845f, 0.5141289f, 0.5138756f, 0.5136245f, 0.5133756f,
    0.5131290f, 0.5128845f, 0.5126424f, 0.5124024f, 0.5121647f, 0.5119293f, 0.5116961f,
    0.5114651f, 0.5112364f, 0.5110100f, 0.5107858f, 0.5105638f, 0.5103441f, 0.5101267f,
    0.5099115f, 0.5096986f, 0.5094880f, 0.5092796f, 0.5090735f, 0.5088697f, 0.5086682f,
    0.5084689f, 0.5082719f, 0.5080772f, 0.5078847f, 0.5076946f, 0.5075067f, 0.5073211f,
    0.5071378f, 0.5069568f, 0.5067781f, 0.5066017f, 0.5064276f, 0.5062558f, 0.5060863f,
    0.5059190f, 0.5057541f, 0.5055915f, 0.5054312f, 0.5052732f, 0.5051175f, 0.5049641f,
    0.5048130f, 0.5046642f, 0.5045178f, 0.5043736f, 0.5042318f, 0.5040923f, 0.5039551f,
    0.5038203f, 0.5036877f, 0.5035575f, 0.5034296f, 0.5033040f, 0.5031808f, 0.5030599f,
    0.5029413f, 0.5028250f, 0.5027111f, 0.5025995f, 0.5024903f, 0.5023833f, 0.5022787f,
    0.5021765f, 0.5020766f, 0.5019790f, 0.5018837f, 0.5017908f, 0.5017003f, 0.5016121f,
    0.5015262f, 0.5014427f, 0.5013615f, 0.5012826f, 0.5012061f, 0.5011320f, 0.5010602f,
    0.5009907f, 0.5009236f, 0.5008588f, 0.5007964f, 0.5007364f, 0.5006787f, 0.5006233f,
    0.5005703f, 0.5005196f, 0.5004713f, 0.5004254f, 0.5003818f, 0.5003406f, 0.5003017f,
    0.5002651f, 0.5002310f, 0.5001991f, 0.5001697f, 0.5001426f, 0.5001178f, 0.5000954f,
    0.5000754f, 0.5000577f, 0.5000424f, 0.5000294f, 0.5000188f, 0.5000106f, 0.5000047f,
    0.5000011f, 0.5000000f};

const FLOAT32 ia_hoa_inv_dyn_win_pow_table[7][1024] = {
    {1.0000000f, 1.0000012f, 1.0000048f, 1.0000107f, 1.0000189f, 1.0000295f, 1.0000425f,
     1.0000578f, 1.0000755f, 1.0000955f, 1.0001179f, 1.0001427f, 1.0001698f, 1.0001992f,
     1.0002311f, 1.0002653f, 1.0003019f, 1.0003408f, 1.0003820f, 1.0004257f, 1.0004716f,
     1.0005200f, 1.0005707f, 1.0006238f, 1.0006792f, 1.0007370f, 1.0007971f, 1.0008596f,
     1.0009245f, 1.0009918f, 1.0010614f, 1.0011334f, 1.0012077f, 1.0012843f, 1.0013635f,
     1.0014449f, 1.0015286f, 1.0016148f, 1.0017033f, 1.0017941f, 1.0018874f, 1.0019830f,
     1.0020810f, 1.0021813f, 1.0022840f, 1.0023891f, 1.0024966f, 1.0026064f, 1.0027185f,
     1.0028331f, 1.0029501f, 1.0030694f, 1.0031911f, 1.0033151f, 1.0034415f, 1.0035703f,
     1.0037014f, 1.0038351f, 1.0039709f, 1.0041092f, 1.0042499f, 1.0043929f, 1.0045384f,
     1.0046862f, 1.0048364f, 1.0049889f, 1.0051439f, 1.0053012f, 1.0054610f, 1.0056230f,
     1.0057875f, 1.0059543f, 1.0061237f, 1.0062953f, 1.0064693f, 1.0066457f, 1.0068244f,
     1.0070056f, 1.0071892f, 1.0073752f, 1.0075636f, 1.0077544f, 1.0079475f, 1.0081431f,
     1.0083410f, 1.0085413f, 1.0087441f, 1.0089492f, 1.0091567f, 1.0093666f, 1.0095790f,
     1.0097937f, 1.0100108f, 1.0102304f, 1.0104523f, 1.0106767f, 1.0109035f, 1.0111327f,
     1.0113642f, 1.0115982f, 1.0118346f, 1.0120734f, 1.0123146f, 1.0125582f, 1.0128044f,
     1.0130528f, 1.0133038f, 1.0135570f, 1.0138128f, 1.0140710f, 1.0143315f, 1.0145946f,
     1.0148599f, 1.0151277f, 1.0153980f, 1.0156708f, 1.0159459f, 1.0162235f, 1.0165034f,
     1.0167859f, 1.0170707f, 1.0173581f, 1.0176478f, 1.0179400f, 1.0182346f, 1.0185317f,
     1.0188312f, 1.0191331f, 1.0194375f, 1.0197444f, 1.0200536f, 1.0203654f, 1.0206796f,
     1.0209962f, 1.0213154f, 1.0216368f, 1.0219609f, 1.0222873f, 1.0226163f, 1.0229477f,
     1.0232815f, 1.0236178f, 1.0239566f, 1.0242978f, 1.0246415f, 1.0249876f, 1.0253364f,
     1.0256874f, 1.0260410f, 1.0263971f, 1.0267557f, 1.0271167f, 1.0274802f, 1.0278462f,
     1.0282147f, 1.0285856f, 1.0289590f, 1.0293350f, 1.0297134f, 1.0300943f, 1.0304777f,
     1.0308636f, 1.0312520f, 1.0316429f, 1.0320363f, 1.0324322f, 1.0328306f, 1.0332315f,
     1.0336349f, 1.0340408f, 1.0344492f, 1.0348602f, 1.0352736f, 1.0356896f, 1.0361081f,
     1.0365291f, 1.0369527f, 1.0373786f, 1.0378072f, 1.0382383f, 1.0386719f, 1.0391081f,
     1.0395468f, 1.0399880f, 1.0404317f, 1.0408780f, 1.0413268f, 1.0417781f, 1.0422321f,
     1.0426885f, 1.0431475f, 1.0436089f, 1.0440732f, 1.0445397f, 1.0450089f, 1.0454807f,
     1.0459550f, 1.0464319f, 1.0469113f, 1.0473932f, 1.0478777f, 1.0483648f, 1.0488546f,
     1.0493468f, 1.0498416f, 1.0503391f, 1.0508390f, 1.0513416f, 1.0518467f, 1.0523544f,
     1.0528646f, 1.0533776f, 1.0538930f, 1.0544111f, 1.0549318f, 1.0554550f, 1.0559808f,
     1.0565093f, 1.0570403f, 1.0575739f, 1.0581102f, 1.0586490f, 1.0591905f, 1.0597346f,
     1.0602812f, 1.0608306f, 1.0613825f, 1.0619370f, 1.0624941f, 1.0630539f, 1.0636163f,
     1.0641813f, 1.0647490f, 1.0653193f, 1.0658922f, 1.0664677f, 1.0670459f, 1.0676268f,
     1.0682102f, 1.0687963f, 1.0693851f, 1.0699765f, 1.0705705f, 1.0711673f, 1.0717665f,
     1.0723686f, 1.0729733f, 1.0735806f, 1.0741906f, 1.0748033f, 1.0754186f, 1.0760366f,
     1.0766572f, 1.0772807f, 1.0779066f, 1.0785354f, 1.0791667f, 1.0798007f, 1.0804375f,
     1.0810770f, 1.0817191f, 1.0823639f, 1.0830114f, 1.0836616f, 1.0843145f, 1.0849701f,
     1.0856284f, 1.0862894f, 1.0869531f, 1.0876195f, 1.0882886f, 1.0889604f, 1.0896350f,
     1.0903122f, 1.0909923f, 1.0916749f, 1.0923604f, 1.0930485f, 1.0937394f, 1.0944330f,
     1.0951294f, 1.0958285f, 1.0965302f, 1.0972347f, 1.0979420f, 1.0986522f, 1.0993649f,
     1.1000805f, 1.1007987f, 1.1015197f, 1.1022435f, 1.1029701f, 1.1036994f, 1.1044314f,
     1.1051662f, 1.1059038f, 1.1066442f, 1.1073873f, 1.1081332f, 1.1088819f, 1.1096333f,
     1.1103875f, 1.1111445f, 1.1119043f, 1.1126669f, 1.1134321f, 1.1142003f, 1.1149713f,
     1.1157449f, 1.1165214f, 1.1173007f, 1.1180829f, 1.1188677f, 1.1196554f, 1.1204460f,
     1.1212392f, 1.1220354f, 1.1228344f, 1.1236360f, 1.1244406f, 1.1252480f, 1.1260583f,
     1.1268713f, 1.1276871f, 1.1285058f, 1.1293273f, 1.1301515f, 1.1309788f, 1.1318087f,
     1.1326415f, 1.1334771f, 1.1343157f, 1.1351571f, 1.1360012f, 1.1368482f, 1.1376981f,
     1.1385508f, 1.1394063f, 1.1402648f, 1.1411262f, 1.1419903f, 1.1428571f, 1.1437270f,
     1.1445998f, 1.1454753f, 1.1463537f, 1.1472351f, 1.1481192f, 1.1490063f, 1.1498962f,
     1.1507890f, 1.1516847f, 1.1525832f, 1.1534846f, 1.1543889f, 1.1552960f, 1.1562062f,
     1.1571192f, 1.1580349f, 1.1589537f, 1.1598754f, 1.1607998f, 1.1617273f, 1.1626576f,
     1.1635908f, 1.1645268f, 1.1654658f, 1.1664078f, 1.1673526f, 1.1683004f, 1.1692508f,
     1.1702043f, 1.1711608f, 1.1721201f, 1.1730824f, 1.1740476f, 1.1750156f, 1.1759867f,
     1.1769606f, 1.1779373f, 1.1789172f, 1.1798998f, 1.1808854f, 1.1818739f, 1.1828653f,
     1.1838597f, 1.1848570f, 1.1858573f, 1.1868604f, 1.1878664f, 1.1888755f, 1.1898875f,
     1.1909024f, 1.1919201f, 1.1929409f, 1.1939645f, 1.1949911f, 1.1960208f, 1.1970532f,
     1.1980886f, 1.1991270f, 1.2001684f, 1.2012126f, 1.2022599f, 1.2033101f, 1.2043631f,
     1.2054191f, 1.2064781f, 1.2075400f, 1.2086050f, 1.2096728f, 1.2107436f, 1.2118173f,
     1.2128939f, 1.2139737f, 1.2150562f, 1.2161417f, 1.2172302f, 1.2183216f, 1.2194159f,
     1.2205133f, 1.2216137f, 1.2227169f, 1.2238230f, 1.2249323f, 1.2260443f, 1.2271594f,
     1.2282773f, 1.2293984f, 1.2305223f, 1.2316490f, 1.2327790f, 1.2339116f, 1.2350474f,
     1.2361861f, 1.2373277f, 1.2384723f, 1.2396199f, 1.2407704f, 1.2419237f, 1.2430802f,
     1.2442395f, 1.2454018f, 1.2465671f, 1.2477352f, 1.2489064f, 1.2500805f, 1.2512575f,
     1.2524374f, 1.2536204f, 1.2548062f, 1.2559950f, 1.2571868f, 1.2583816f, 1.2595791f,
     1.2607798f, 1.2619833f, 1.2631897f, 1.2643991f, 1.2656114f, 1.2668268f, 1.2680449f,
     1.2692661f, 1.2704901f, 1.2717171f, 1.2729469f, 1.2741798f, 1.2754157f, 1.2766543f,
     1.2778959f, 1.2791404f, 1.2803879f, 1.2816382f, 1.2828916f, 1.2841478f, 1.2854068f,
     1.2866687f, 1.2879336f, 1.2892015f, 1.2904723f, 1.2917459f, 1.2930224f, 1.2943019f,
     1.2955841f, 1.2968693f, 1.2981574f, 1.2994484f, 1.3007423f, 1.3020390f, 1.3033385f,
     1.3046410f, 1.3059465f, 1.3072547f, 1.3085657f, 1.3098796f, 1.3111965f, 1.3125161f,
     1.3138386f, 1.3151639f, 1.3164922f, 1.3178233f, 1.3191571f, 1.3204939f, 1.3218334f,
     1.3231757f, 1.3245210f, 1.3258691f, 1.3272198f, 1.3285735f, 1.3299299f, 1.3312891f,
     1.3326514f, 1.3340162f, 1.3353839f, 1.3367543f, 1.3381276f, 1.3395036f, 1.3408823f,
     1.3422638f, 1.3436482f, 1.3450353f, 1.3464251f, 1.3478177f, 1.3492130f, 1.3506110f,
     1.3520120f, 1.3534155f, 1.3548217f, 1.3562307f, 1.3576423f, 1.3590569f, 1.3604739f,
     1.3618937f, 1.3633163f, 1.3647415f, 1.3661693f, 1.3675998f, 1.3690330f, 1.3704688f,
     1.3719074f, 1.3733484f, 1.3747923f, 1.3762387f, 1.3776879f, 1.3791395f, 1.3805938f,
     1.3820508f, 1.3835103f, 1.3849723f, 1.3864370f, 1.3879043f, 1.3893742f, 1.3908466f,
     1.3923216f, 1.3937989f, 1.3952790f, 1.3967616f, 1.3982469f, 1.3997345f, 1.4012245f,
     1.4027171f, 1.4042123f, 1.4057100f, 1.4072100f, 1.4087126f, 1.4102177f, 1.4117251f,
     1.4132350f, 1.4147474f, 1.4162623f, 1.4177793f, 1.4192989f, 1.4208211f, 1.4223454f,
     1.4238720f, 1.4254013f, 1.4269327f, 1.4284665f, 1.4300027f, 1.4315413f, 1.4330819f,
     1.4346251f, 1.4361706f, 1.4377181f, 1.4392682f, 1.4408205f, 1.4423749f, 1.4439317f,
     1.4454907f, 1.4470520f, 1.4486153f, 1.4501810f, 1.4517486f, 1.4533187f, 1.4548908f,
     1.4564650f, 1.4580415f, 1.4596201f, 1.4612006f, 1.4627834f, 1.4643683f, 1.4659551f,
     1.4675442f, 1.4691352f, 1.4707284f, 1.4723234f, 1.4739205f, 1.4755198f, 1.4771208f,
     1.4787238f, 1.4803290f, 1.4819359f, 1.4835449f, 1.4851556f, 1.4867685f, 1.4883832f,
     1.4899997f, 1.4916181f, 1.4932383f, 1.4948601f, 1.4964841f, 1.4981098f, 1.4997371f,
     1.5013664f, 1.5029975f, 1.5046300f, 1.5062646f, 1.5079008f, 1.5095385f, 1.5111780f,
     1.5128193f, 1.5144620f, 1.5161065f, 1.5177526f, 1.5194002f, 1.5210495f, 1.5227002f,
     1.5243527f, 1.5260065f, 1.5276620f, 1.5293185f, 1.5309770f, 1.5326368f, 1.5342979f,
     1.5359607f, 1.5376246f, 1.5392902f, 1.5409569f, 1.5426250f, 1.5442944f, 1.5459655f,
     1.5476374f, 1.5493107f, 1.5509853f, 1.5526610f, 1.5543381f, 1.5560162f, 1.5576957f,
     1.5593763f, 1.5610580f, 1.5627408f, 1.5644244f, 1.5661097f, 1.5677955f, 1.5694825f,
     1.5711706f, 1.5728595f, 1.5745496f, 1.5762407f, 1.5779324f, 1.5796251f, 1.5813187f,
     1.5830131f, 1.5847084f, 1.5864047f, 1.5881017f, 1.5897993f, 1.5914976f, 1.5931969f,
     1.5948965f, 1.5965971f, 1.5982983f, 1.6000000f, 1.6017024f, 1.6034054f, 1.6051092f,
     1.6068131f, 1.6085177f, 1.6102227f, 1.6119283f, 1.6136343f, 1.6153405f, 1.6170472f,
     1.6187544f, 1.6204619f, 1.6221694f, 1.6238776f, 1.6255860f, 1.6272944f, 1.6290030f,
     1.6307119f, 1.6324209f, 1.6341300f, 1.6358395f, 1.6375489f, 1.6392582f, 1.6409675f,
     1.6426771f, 1.6443863f, 1.6460957f, 1.6478047f, 1.6495139f, 1.6512228f, 1.6529316f,
     1.6546402f, 1.6563484f, 1.6580564f, 1.6597643f, 1.6614717f, 1.6631788f, 1.6648855f,
     1.6665919f, 1.6682977f, 1.6700030f, 1.6717080f, 1.6734124f, 1.6751163f, 1.6768195f,
     1.6785224f, 1.6802245f, 1.6819256f, 1.6836261f, 1.6853260f, 1.6870252f, 1.6887236f,
     1.6904211f, 1.6921175f, 1.6938133f, 1.6955082f, 1.6972021f, 1.6988949f, 1.7005868f,
     1.7022775f, 1.7039671f, 1.7056556f, 1.7073433f, 1.7090295f, 1.7107144f, 1.7123982f,
     1.7140807f, 1.7157621f, 1.7174417f, 1.7191203f, 1.7207973f, 1.7224728f, 1.7241468f,
     1.7258195f, 1.7274904f, 1.7291600f, 1.7308279f, 1.7324939f, 1.7341584f, 1.7358213f,
     1.7374821f, 1.7391413f, 1.7407989f, 1.7424545f, 1.7441079f, 1.7457594f, 1.7474092f,
     1.7490569f, 1.7507028f, 1.7523461f, 1.7539878f, 1.7556268f, 1.7572642f, 1.7588990f,
     1.7605315f, 1.7621621f, 1.7637901f, 1.7654154f, 1.7670389f, 1.7686597f, 1.7702777f,
     1.7718939f, 1.7735069f, 1.7751175f, 1.7767257f, 1.7783310f, 1.7799336f, 1.7815333f,
     1.7831307f, 1.7847250f, 1.7863166f, 1.7879052f, 1.7894907f, 1.7910734f, 1.7926529f,
     1.7942295f, 1.7958032f, 1.7973735f, 1.7989407f, 1.8005049f, 1.8020654f, 1.8036233f,
     1.8051774f, 1.8067281f, 1.8082757f, 1.8098198f, 1.8113603f, 1.8128974f, 1.8144310f,
     1.8159607f, 1.8174873f, 1.8190097f, 1.8205286f, 1.8220439f, 1.8235553f, 1.8250625f,
     1.8265665f, 1.8280663f, 1.8295621f, 1.8310541f, 1.8325419f, 1.8340257f, 1.8355053f,
     1.8369809f, 1.8384523f, 1.8399193f, 1.8413822f, 1.8428411f, 1.8442950f, 1.8457451f,
     1.8471904f, 1.8486315f, 1.8500678f, 1.8515001f, 1.8529272f, 1.8543501f, 1.8557683f,
     1.8571816f, 1.8585903f, 1.8599941f, 1.8613933f, 1.8627875f, 1.8641767f, 1.8655612f,
     1.8669405f, 1.8683152f, 1.8696845f, 1.8710488f, 1.8724078f, 1.8737617f, 1.8751105f,
     1.8764538f, 1.8777921f, 1.8791249f, 1.8804524f, 1.8817744f, 1.8830914f, 1.8844021f,
     1.8857080f, 1.8870080f, 1.8883024f, 1.8895913f, 1.8908742f, 1.8921516f, 1.8934234f,
     1.8946891f, 1.8959491f, 1.8972032f, 1.8984515f, 1.8996936f, 1.9009297f, 1.9021601f,
     1.9033842f, 1.9046022f, 1.9058140f, 1.9070197f, 1.9082192f, 1.9094126f, 1.9105992f,
     1.9117799f, 1.9129541f, 1.9141218f, 1.9152832f, 1.9164383f, 1.9175863f, 1.9187285f,
     1.9198634f, 1.9209922f, 1.9221140f, 1.9232293f, 1.9243378f, 1.9254394f, 1.9265343f,
     1.9276224f, 1.9287036f, 1.9297778f, 1.9308449f, 1.9319053f, 1.9329585f, 1.9340047f,
     1.9350442f, 1.9360758f, 1.9371007f, 1.9381183f, 1.9391288f, 1.9401318f, 1.9411280f,
     1.9421165f, 1.9430976f, 1.9440710f, 1.9450374f, 1.9459963f, 1.9469477f, 1.9478916f,
     1.9488277f, 1.9497567f, 1.9506776f, 1.9515911f, 1.9524969f, 1.9533948f, 1.9542850f,
     1.9551677f, 1.9560421f, 1.9569089f, 1.9577677f, 1.9586191f, 1.9594623f, 1.9602973f,
     1.9611247f, 1.9619437f, 1.9627548f, 1.9635579f, 1.9643529f, 1.9651396f, 1.9659181f,
     1.9666885f, 1.9674510f, 1.9682048f, 1.9689509f, 1.9696881f, 1.9704172f, 1.9711381f,
     1.9718507f, 1.9725546f, 1.9732501f, 1.9739374f, 1.9746160f, 1.9752860f, 1.9759476f,
     1.9766011f, 1.9772454f, 1.9778813f, 1.9785087f, 1.9791272f, 1.9797375f, 1.9803387f,
     1.9809315f, 1.9815157f, 1.9820906f, 1.9826573f, 1.9832148f, 1.9837638f, 1.9843037f,
     1.9848347f, 1.9853573f, 1.9858705f, 1.9863751f, 1.9868707f, 1.9873572f, 1.9878348f,
     1.9883036f, 1.9887634f, 1.9892140f, 1.9896559f, 1.9900882f, 1.9905121f, 1.9909266f,
     1.9913316f, 1.9917279f, 1.9921152f, 1.9924935f, 1.9928623f, 1.9932219f, 1.9935722f,
     1.9939139f, 1.9942459f, 1.9945688f, 1.9948828f, 1.9951872f, 1.9954822f, 1.9957682f,
     1.9960451f, 1.9963125f, 1.9965708f, 1.9968196f, 1.9970587f, 1.9972888f, 1.9975100f,
     1.9977214f, 1.9979239f, 1.9981166f, 1.9982999f, 1.9984739f, 1.9986386f, 1.9987939f,
     1.9989401f, 1.9990763f, 1.9992040f, 1.9993215f, 1.9994299f, 1.9995290f, 1.9996184f,
     1.9996984f, 1.9997692f, 1.9998305f, 1.9998825f, 1.9999249f, 1.9999576f, 1.9999812f,
     1.9999957f, 2.0000000f},
    {1.0000000f, 1.0000024f, 1.0000097f, 1.0000215f, 1.0000378f, 1.0000590f, 1.0000850f,
     1.0001156f, 1.0001511f, 1.0001910f, 1.0002358f, 1.0002854f, 1.0003397f, 1.0003985f,
     1.0004623f, 1.0005306f, 1.0006038f, 1.0006817f, 1.0007642f, 1.0008516f, 1.0009435f,
     1.0010402f, 1.0011418f, 1.0012480f, 1.0013589f, 1.0014746f, 1.0015949f, 1.0017200f,
     1.0018499f, 1.0019846f, 1.0021240f, 1.0022680f, 1.0024168f, 1.0025703f, 1.0027288f,
     1.0028918f, 1.0030596f, 1.0032322f, 1.0034095f, 1.0035914f, 1.0037783f, 1.0039700f,
     1.0041663f, 1.0043674f, 1.0045732f, 1.0047839f, 1.0049995f, 1.0052195f, 1.0054445f,
     1.0056742f, 1.0059089f, 1.0061482f, 1.0063923f, 1.0066411f, 1.0068949f, 1.0071534f,
     1.0074166f, 1.0076848f, 1.0079576f, 1.0082353f, 1.0085179f, 1.0088052f, 1.0090974f,
     1.0093943f, 1.0096961f, 1.0100028f, 1.0103143f, 1.0106306f, 1.0109517f, 1.0112776f,
     1.0116084f, 1.0119441f, 1.0122849f, 1.0126302f, 1.0129804f, 1.0133355f, 1.0136954f,
     1.0140603f, 1.0144301f, 1.0148047f, 1.0151843f, 1.0155689f, 1.0159581f, 1.0163525f,
     1.0167515f, 1.0171556f, 1.0175647f, 1.0179785f, 1.0183972f, 1.0188210f, 1.0192497f,
     1.0196833f, 1.0201219f, 1.0205655f, 1.0210139f, 1.0214674f, 1.0219258f, 1.0223893f,
     1.0228575f, 1.0233309f, 1.0238093f, 1.0242926f, 1.0247808f, 1.0252742f, 1.0257727f,
     1.0262760f, 1.0267846f, 1.0272979f, 1.0278164f, 1.0283399f, 1.0288683f, 1.0294021f,
     1.0299406f, 1.0304843f, 1.0310331f, 1.0315872f, 1.0321460f, 1.0327102f, 1.0332792f,
     1.0338536f, 1.0344328f, 1.0350174f, 1.0356071f, 1.0362017f, 1.0368018f, 1.0374068f,
     1.0380169f, 1.0386323f, 1.0392528f, 1.0398786f, 1.0405094f, 1.0411455f, 1.0417867f,
     1.0424331f, 1.0430851f, 1.0437418f, 1.0444042f, 1.0450713f, 1.0457441f, 1.0464220f,
     1.0471050f, 1.0477935f, 1.0484870f, 1.0491859f, 1.0498903f, 1.0505997f, 1.0513147f,
     1.0520346f, 1.0527601f, 1.0534910f, 1.0542273f, 1.0549687f, 1.0557155f, 1.0564678f,
     1.0572254f, 1.0579884f, 1.0587567f, 1.0595306f, 1.0603097f, 1.0610943f, 1.0618843f,
     1.0626798f, 1.0634807f, 1.0642871f, 1.0650989f, 1.0659162f, 1.0667390f, 1.0675674f,
     1.0684010f, 1.0692404f, 1.0700852f, 1.0709357f, 1.0717915f, 1.0726529f, 1.0735199f,
     1.0743925f, 1.0752708f, 1.0761544f, 1.0770438f, 1.0779388f, 1.0788394f, 1.0797456f,
     1.0806575f, 1.0815750f, 1.0824981f, 1.0834270f, 1.0843615f, 1.0853017f, 1.0862477f,
     1.0871994f, 1.0881568f, 1.0891196f, 1.0900888f, 1.0910632f, 1.0920437f, 1.0930299f,
     1.0940218f, 1.0950196f, 1.0960232f, 1.0970324f, 1.0980477f, 1.0990688f, 1.1000960f,
     1.1011287f, 1.1021675f, 1.1032121f, 1.1042626f, 1.1053191f, 1.1063814f, 1.1074498f,
     1.1085240f, 1.1096044f, 1.1106905f, 1.1117828f, 1.1128810f, 1.1139852f, 1.1150955f,
     1.1162120f, 1.1173342f, 1.1184626f, 1.1195973f, 1.1207378f, 1.1218846f, 1.1230374f,
     1.1241963f, 1.1253615f, 1.1265328f, 1.1277101f, 1.1288937f, 1.1300835f, 1.1312796f,
     1.1324818f, 1.1336904f, 1.1349052f, 1.1361261f, 1.1373534f, 1.1385869f, 1.1398270f,
     1.1410731f, 1.1423255f, 1.1435845f, 1.1448496f, 1.1461213f, 1.1473993f, 1.1486835f,
     1.1499744f, 1.1512718f, 1.1525754f, 1.1538855f, 1.1552021f, 1.1565251f, 1.1578547f,
     1.1591908f, 1.1605337f, 1.1618827f, 1.1632387f, 1.1646007f, 1.1659696f, 1.1673452f,
     1.1687274f, 1.1701163f, 1.1715116f, 1.1729138f, 1.1743224f, 1.1757379f, 1.1771601f,
     1.1785891f, 1.1800246f, 1.1814671f, 1.1829162f, 1.1843721f, 1.1858348f, 1.1873045f,
     1.1887807f, 1.1902642f, 1.1917541f, 1.1932512f, 1.1947549f, 1.1962658f, 1.1977836f,
     1.1993084f, 1.2008400f, 1.2023785f, 1.2039240f, 1.2054767f, 1.2070366f, 1.2086031f,
     1.2101770f, 1.2117578f, 1.2133457f, 1.2149408f, 1.2165430f, 1.2181523f, 1.2197687f,
     1.2213923f, 1.2230231f, 1.2246613f, 1.2263067f, 1.2279591f, 1.2296191f, 1.2312860f,
     1.2329605f, 1.2346420f, 1.2363312f, 1.2380275f, 1.2397310f, 1.2414423f, 1.2431610f,
     1.2448867f, 1.2466201f, 1.2483608f, 1.2501093f, 1.2518650f, 1.2536283f, 1.2553991f,
     1.2571774f, 1.2589634f, 1.2607570f, 1.2625579f, 1.2643667f, 1.2661831f, 1.2680073f,
     1.2698389f, 1.2716783f, 1.2735254f, 1.2753801f, 1.2772425f, 1.2791130f, 1.2809910f,
     1.2828768f, 1.2847704f, 1.2866720f, 1.2885815f, 1.2904986f, 1.2924239f, 1.2943569f,
     1.2962980f, 1.2982468f, 1.3002037f, 1.3021690f, 1.3041419f, 1.3061224f, 1.3081115f,
     1.3101088f, 1.3121138f, 1.3141269f, 1.3161485f, 1.3181778f, 1.3202154f, 1.3222613f,
     1.3243153f, 1.3263776f, 1.3284481f, 1.3305268f, 1.3326137f, 1.3347089f, 1.3368128f,
     1.3389249f, 1.3410448f, 1.3431738f, 1.3453109f, 1.3474562f, 1.3496103f, 1.3517726f,
     1.3539435f, 1.3561226f, 1.3583106f, 1.3605070f, 1.3627121f, 1.3649257f, 1.3671474f,
     1.3693782f, 1.3716177f, 1.3738655f, 1.3761224f, 1.3783879f, 1.3806617f, 1.3829446f,
     1.3852363f, 1.3875363f, 1.3898457f, 1.3921636f, 1.3944904f, 1.3968260f, 1.3991703f,
     1.4015238f, 1.4038861f, 1.4062575f, 1.4086375f, 1.4110266f, 1.4134249f, 1.4158322f,
     1.4182485f, 1.4206736f, 1.4231079f, 1.4255513f, 1.4280037f, 1.4304657f, 1.4329365f,
     1.4354164f, 1.4379055f, 1.4404041f, 1.4429117f, 1.4454289f, 1.4479552f, 1.4504904f,
     1.4530352f, 1.4555895f, 1.4581530f, 1.4607260f, 1.4633083f, 1.4659001f, 1.4685013f,
     1.4711117f, 1.4737321f, 1.4763615f, 1.4790006f, 1.4816493f, 1.4843076f, 1.4869752f,
     1.4896527f, 1.4923400f, 1.4950365f, 1.4977428f, 1.5004590f, 1.5031846f, 1.5059201f,
     1.5086650f, 1.5114204f, 1.5141850f, 1.5169593f, 1.5197440f, 1.5225378f, 1.5253421f,
     1.5281561f, 1.5309799f, 1.5338136f, 1.5366574f, 1.5395112f, 1.5423746f, 1.5452484f,
     1.5481319f, 1.5510256f, 1.5539295f, 1.5568431f, 1.5597673f, 1.5627011f, 1.5656453f,
     1.5685995f, 1.5715642f, 1.5745387f, 1.5775235f, 1.5805187f, 1.5835244f, 1.5865396f,
     1.5895658f, 1.5926018f, 1.5956483f, 1.5987052f, 1.6017723f, 1.6048502f, 1.6079380f,
     1.6110364f, 1.6141452f, 1.6172645f, 1.6203938f, 1.6235342f, 1.6266852f, 1.6298461f,
     1.6330180f, 1.6362002f, 1.6393932f, 1.6425965f, 1.6458108f, 1.6490355f, 1.6522707f,
     1.6555165f, 1.6587731f, 1.6620405f, 1.6653187f, 1.6686074f, 1.6719068f, 1.6752174f,
     1.6785383f, 1.6818701f, 1.6852126f, 1.6885661f, 1.6919305f, 1.6953055f, 1.6986913f,
     1.7020881f, 1.7054962f, 1.7089147f, 1.7123441f, 1.7157846f, 1.7192364f, 1.7226985f,
     1.7261719f, 1.7296561f, 1.7331517f, 1.7366582f, 1.7401756f, 1.7437042f, 1.7472436f,
     1.7507940f, 1.7543559f, 1.7579288f, 1.7615125f, 1.7651076f, 1.7687135f, 1.7723308f,
     1.7759597f, 1.7795992f, 1.7832502f, 1.7869122f, 1.7905854f, 1.7942700f, 1.7979654f,
     1.8016722f, 1.8053905f, 1.8091200f, 1.8128605f, 1.8166126f, 1.8203758f, 1.8241502f,
     1.8279365f, 1.8317335f, 1.8355418f, 1.8393616f, 1.8431927f, 1.8470356f, 1.8508893f,
     1.8547544f, 1.8586314f, 1.8625193f, 1.8664185f, 1.8703291f, 1.8742513f, 1.8781847f,
     1.8821299f, 1.8860859f, 1.8900539f, 1.8940331f, 1.8980240f, 1.9020259f, 1.9060392f,
     1.9100643f, 1.9141006f, 1.9181482f, 1.9222076f, 1.9262783f, 1.9303607f, 1.9344542f,
     1.9385594f, 1.9426754f, 1.9468036f, 1.9509430f, 1.9550943f, 1.9592566f, 1.9634302f,
     1.9676152f, 1.9718123f, 1.9760205f, 1.9802399f, 1.9844711f, 1.9887139f, 1.9929677f,
     1.9972331f, 2.0015101f, 2.0057989f, 2.0100981f, 2.0144094f, 2.0187326f, 2.0230666f,
     2.0274115f, 2.0317690f, 2.0361371f, 2.0405165f, 2.0449076f, 2.0493105f, 2.0537238f,
     2.0581492f, 2.0625861f, 2.0670334f, 2.0714931f, 2.0759636f, 2.0804454f, 2.0849388f,
     2.0894432f, 2.0939594f, 2.0984862f, 2.1030248f, 2.1075741f, 2.1121353f, 2.1167073f,
     2.1212904f, 2.1258851f, 2.1304907f, 2.1351072f, 2.1397353f, 2.1443744f, 2.1490245f,
     2.1536859f, 2.1583584f, 2.1630419f, 2.1677361f, 2.1724418f, 2.1771586f, 2.1818858f,
     2.1866241f, 2.1913741f, 2.1961341f, 2.2009054f, 2.2056871f, 2.2104805f, 2.2152845f,
     2.2200990f, 2.2249245f, 2.2297606f, 2.2346068f, 2.2394645f, 2.2443329f, 2.2492115f,
     2.2541012f, 2.2590016f, 2.2639115f, 2.2688329f, 2.2737647f, 2.2787064f, 2.2836589f,
     2.2886222f, 2.2935951f, 2.2985788f, 2.3035730f, 2.3085771f, 2.3135917f, 2.3186159f,
     2.3236511f, 2.3286958f, 2.3337511f, 2.3388151f, 2.3438906f, 2.3489757f, 2.3540700f,
     2.3591753f, 2.3642895f, 2.3694142f, 2.3745482f, 2.3796918f, 2.3848452f, 2.3900092f,
     2.3951816f, 2.4003636f, 2.4055555f, 2.4107561f, 2.4159669f, 2.4211865f, 2.4264159f,
     2.4316545f, 2.4369020f, 2.4421587f, 2.4474238f, 2.4526995f, 2.4579826f, 2.4632755f,
     2.4685771f, 2.4738871f, 2.4792063f, 2.4845347f, 2.4898706f, 2.4952156f, 2.5005689f,
     2.5059305f, 2.5113007f, 2.5166797f, 2.5220670f, 2.5274619f, 2.5328646f, 2.5382764f,
     2.5436950f, 2.5491222f, 2.5545575f, 2.5600000f, 2.5654506f, 2.5709088f, 2.5763755f,
     2.5818483f, 2.5873292f, 2.5928171f, 2.5983129f, 2.6038158f, 2.6093251f, 2.6148418f,
     2.6203659f, 2.6258969f, 2.6314337f, 2.6369783f, 2.6425297f, 2.6480869f, 2.6536508f,
     2.6592214f, 2.6647981f, 2.6703810f, 2.6759710f, 2.6815665f, 2.6871675f, 2.6927745f,
     2.6983879f, 2.7040062f, 2.7096309f, 2.7152604f, 2.7208962f, 2.7265367f, 2.7321829f,
     2.7378342f, 2.7434901f, 2.7491510f, 2.7548175f, 2.7604883f, 2.7661636f, 2.7718437f,
     2.7775287f, 2.7832173f, 2.7889101f, 2.7946075f, 2.8003090f, 2.8060146f, 2.8117235f,
     2.8174375f, 2.8231542f, 2.8288736f, 2.8345968f, 2.8403236f, 2.8460540f, 2.8517875f,
     2.8575234f, 2.8632615f, 2.8690036f, 2.8747479f, 2.8804949f, 2.8862440f, 2.8919956f,
     2.8977486f, 2.9035040f, 2.9092611f, 2.9150212f, 2.9207818f, 2.9265439f, 2.9323075f,
     2.9380726f, 2.9438396f, 2.9496061f, 2.9553744f, 2.9611433f, 2.9669126f, 2.9726823f,
     2.9784529f, 2.9842232f, 2.9899942f, 2.9957652f, 3.0015350f, 3.0073053f, 3.0130755f,
     3.0188441f, 3.0246124f, 3.0303809f, 3.0361476f, 3.0419125f, 3.0476760f, 3.0534387f,
     3.0592000f, 3.0649603f, 3.0707170f, 3.0764732f, 3.0822256f, 3.0879773f, 3.0937257f,
     3.0994713f, 3.1052153f, 3.1109557f, 3.1166917f, 3.1224264f, 3.1281572f, 3.1338833f,
     3.1396079f, 3.1453269f, 3.1510422f, 3.1567543f, 3.1624613f, 3.1681635f, 3.1738610f,
     3.1795549f, 3.1852432f, 3.1909270f, 3.1966050f, 3.2022769f, 3.2079441f, 3.2136043f,
     3.2192596f, 3.2249091f, 3.2305514f, 3.2361876f, 3.2418178f, 3.2474396f, 3.2530572f,
     3.2586655f, 3.2642665f, 3.2698609f, 3.2754477f, 3.2810262f, 3.2865970f, 3.2921598f,
     3.2977133f, 3.3032600f, 3.3087964f, 3.3143244f, 3.3198439f, 3.3253540f, 3.3308533f,
     3.3363452f, 3.3418266f, 3.3472974f, 3.3527590f, 3.3582098f, 3.3636503f, 3.3690797f,
     3.3744987f, 3.3799070f, 3.3853031f, 3.3906883f, 3.3960633f, 3.4014241f, 3.4067751f,
     3.4121125f, 3.4174383f, 3.4227509f, 3.4280525f, 3.4333391f, 3.4386144f, 3.4438759f,
     3.4491236f, 3.4543580f, 3.4595782f, 3.4647849f, 3.4699772f, 3.4751549f, 3.4803187f,
     3.4854668f, 3.4906015f, 3.4957203f, 3.5008238f, 3.5059111f, 3.5109828f, 3.5160396f,
     3.5210789f, 3.5261031f, 3.5311104f, 3.5361013f, 3.5410751f, 3.5460331f, 3.5509711f,
     3.5558948f, 3.5607990f, 3.5656861f, 3.5705551f, 3.5754051f, 3.5802376f, 3.5850523f,
     3.5898467f, 3.5946231f, 3.5993798f, 3.6041182f, 3.6088357f, 3.6135338f, 3.6182132f,
     3.6228713f, 3.6275095f, 3.6321270f, 3.6367243f, 3.6413006f, 3.6458564f, 3.6503892f,
     3.6549022f, 3.6593935f, 3.6638621f, 3.6683096f, 3.6727359f, 3.6771374f, 3.6815190f,
     3.6858755f, 3.6902111f, 3.6945221f, 3.6988110f, 3.7030760f, 3.7073168f, 3.7115343f,
     3.7157282f, 3.7198976f, 3.7240423f, 3.7281622f, 3.7322580f, 3.7363287f, 3.7403741f,
     3.7443959f, 3.7483896f, 3.7523593f, 3.7563024f, 3.7602204f, 3.7641114f, 3.7679780f,
     3.7718164f, 3.7756284f, 3.7794120f, 3.7831706f, 3.7869014f, 3.7906052f, 3.7942818f,
     3.7979294f, 3.8015513f, 3.8051430f, 3.8087079f, 3.8122441f, 3.8157514f, 3.8192298f,
     3.8226808f, 3.8261009f, 3.8294924f, 3.8328545f, 3.8361888f, 3.8394925f, 3.8427654f,
     3.8460101f, 3.8492230f, 3.8524065f, 3.8555596f, 3.8586823f, 3.8617735f, 3.8648341f,
     3.8678637f, 3.8708634f, 3.8738302f, 3.8767676f, 3.8796711f, 3.8825440f, 3.8853855f,
     3.8881954f, 3.8909717f, 3.8937161f, 3.8964287f, 3.8991082f, 3.9017547f, 3.9043690f,
     3.9069518f, 3.9094994f, 3.9120145f, 3.9144969f, 3.9169446f, 3.9193605f, 3.9217416f,
     3.9240896f, 3.9264045f, 3.9286833f, 3.9309298f, 3.9331410f, 3.9353187f, 3.9374610f,
     3.9395687f, 3.9416435f, 3.9436817f, 3.9456860f, 3.9476553f, 3.9495887f, 3.9514870f,
     3.9533511f, 3.9551799f, 3.9569724f, 3.9587305f, 3.9604512f, 3.9621383f, 3.9637888f,
     3.9654017f, 3.9669798f, 3.9685231f, 3.9700305f, 3.9715001f, 3.9729336f, 3.9743302f,
     3.9756925f, 3.9770168f, 3.9783048f, 3.9795575f, 3.9807720f, 3.9819491f, 3.9830908f,
     3.9841960f, 3.9852637f, 3.9862948f, 3.9872883f, 3.9882433f, 3.9891626f, 3.9900460f,
     3.9908908f, 3.9916998f, 3.9924699f, 3.9932023f, 3.9938978f, 3.9945563f, 3.9951769f,
     3.9957614f, 3.9963061f, 3.9968166f, 3.9972863f, 3.9977198f, 3.9981162f, 3.9984736f,
     3.9987939f, 3.9990770f, 3.9993220f, 3.9995299f, 3.9996996f, 3.9998303f, 3.9999247f,
     3.9999828f, 4.0000000f},
    {1.0000000f, 1.0000036f, 1.0000145f, 1.0000322f, 1.0000567f, 1.0000885f, 1.0001275f,
     1.0001735f, 1.0002266f, 1.0002865f, 1.0003538f, 1.0004282f, 1.0005096f, 1.0005978f,
     1.0006936f, 1.0007960f, 1.0009059f, 1.0010228f, 1.0011465f, 1.0012776f, 1.0014156f,
     1.0015607f, 1.0017132f, 1.0018725f, 1.0020391f, 1.0022127f, 1.0023933f, 1.0025811f,
     1.0027762f, 1.0029783f, 1.0031877f, 1.0034039f, 1.0036274f, 1.0038580f, 1.0040960f,
     1.0043409f, 1.0045929f, 1.0048522f, 1.0051186f, 1.0053919f, 1.0056728f, 1.0059609f,
     1.0062560f, 1.0065583f, 1.0068677f, 1.0071845f, 1.0075086f, 1.0078395f, 1.0081778f,
     1.0085234f, 1.0088765f, 1.0092364f, 1.0096038f, 1.0099782f, 1.0103601f, 1.0107493f,
     1.0111455f, 1.0115494f, 1.0119600f, 1.0123784f, 1.0128040f, 1.0132368f, 1.0136771f,
     1.0141245f, 1.0145793f, 1.0150416f, 1.0155113f, 1.0159882f, 1.0164725f, 1.0169641f,
     1.0174631f, 1.0179696f, 1.0184838f, 1.0190051f, 1.0195337f, 1.0200698f, 1.0206134f,
     1.0211644f, 1.0217231f, 1.0222891f, 1.0228628f, 1.0234440f, 1.0240324f, 1.0246288f,
     1.0252323f, 1.0258435f, 1.0264623f, 1.0270886f, 1.0277224f, 1.0283640f, 1.0290131f,
     1.0296697f, 1.0303341f, 1.0310063f, 1.0316859f, 1.0323733f, 1.0330684f, 1.0337712f,
     1.0344814f, 1.0351996f, 1.0359258f, 1.0366593f, 1.0374005f, 1.0381498f, 1.0389071f,
     1.0396717f, 1.0404447f, 1.0412250f, 1.0420134f, 1.0428097f, 1.0436135f, 1.0444258f,
     1.0452454f, 1.0460732f, 1.0469089f, 1.0477530f, 1.0486044f, 1.0494644f, 1.0503318f,
     1.0512078f, 1.0520913f, 1.0529833f, 1.0538833f, 1.0547912f, 1.0557075f, 1.0566316f,
     1.0575640f, 1.0585046f, 1.0594532f, 1.0604104f, 1.0613754f, 1.0623488f, 1.0633304f,
     1.0643202f, 1.0653188f, 1.0663251f, 1.0673403f, 1.0683632f, 1.0693950f, 1.0704350f,
     1.0714832f, 1.0725401f, 1.0736052f, 1.0746788f, 1.0757612f, 1.0768517f, 1.0779512f,
     1.0790587f, 1.0801751f, 1.0813001f, 1.0824339f, 1.0835760f, 1.0847267f, 1.0858864f,
     1.0870546f, 1.0882317f, 1.0894172f, 1.0906120f, 1.0918151f, 1.0930272f, 1.0942481f,
     1.0954780f, 1.0967166f, 1.0979643f, 1.0992206f, 1.1004862f, 1.1017606f, 1.1030443f,
     1.1043366f, 1.1056382f, 1.1069488f, 1.1082687f, 1.1095975f, 1.1109354f, 1.1122826f,
     1.1136391f, 1.1150050f, 1.1163795f, 1.1177638f, 1.1191574f, 1.1205602f, 1.1219724f,
     1.1233940f, 1.1248250f, 1.1262653f, 1.1277153f, 1.1291747f, 1.1306436f, 1.1321222f,
     1.1336103f, 1.1351080f, 1.1366150f, 1.1381325f, 1.1396588f, 1.1411954f, 1.1427417f,
     1.1442975f, 1.1458634f, 1.1474391f, 1.1490243f, 1.1506197f, 1.1522251f, 1.1538407f,
     1.1554659f, 1.1571013f, 1.1587468f, 1.1604021f, 1.1620679f, 1.1637435f, 1.1654297f,
     1.1671257f, 1.1688325f, 1.1705490f, 1.1722761f, 1.1740136f, 1.1757613f, 1.1775194f,
     1.1792883f, 1.1810673f, 1.1828568f, 1.1846573f, 1.1864680f, 1.1882896f, 1.1901216f,
     1.1919643f, 1.1938179f, 1.1956822f, 1.1975570f, 1.1994428f, 1.2013396f, 1.2032473f,
     1.2051660f, 1.2070958f, 1.2090364f, 1.2109879f, 1.2129507f, 1.2149245f, 1.2169098f,
     1.2189060f, 1.2209133f, 1.2229322f, 1.2249622f, 1.2270037f, 1.2290565f, 1.2311206f,
     1.2331964f, 1.2352839f, 1.2373826f, 1.2394929f, 1.2416150f, 1.2437486f, 1.2458941f,
     1.2480512f, 1.2502205f, 1.2524011f, 1.2545941f, 1.2567982f, 1.2590149f, 1.2612435f,
     1.2634842f, 1.2657372f, 1.2680018f, 1.2702790f, 1.2725681f, 1.2748696f, 1.2771835f,
     1.2795098f, 1.2818482f, 1.2841993f, 1.2865627f, 1.2889386f, 1.2913272f, 1.2937285f,
     1.2961421f, 1.2985690f, 1.3010081f, 1.3034604f, 1.3059250f, 1.3084030f, 1.3108940f,
     1.3133979f, 1.3159147f, 1.3184444f, 1.3209873f, 1.3235435f, 1.3261133f, 1.3286958f,
     1.3312921f, 1.3339014f, 1.3365242f, 1.3391607f, 1.3418105f, 1.3444739f, 1.3471508f,
     1.3498414f, 1.3525459f, 1.3552643f, 1.3579965f, 1.3607422f, 1.3635024f, 1.3662760f,
     1.3690639f, 1.3718657f, 1.3746820f, 1.3775122f, 1.3803563f, 1.3832154f, 1.3860888f,
     1.3889759f, 1.3918780f, 1.3947944f, 1.3977258f, 1.4006714f, 1.4036317f, 1.4066069f,
     1.4095967f, 1.4126015f, 1.4156213f, 1.4186555f, 1.4217052f, 1.4247700f, 1.4278502f,
     1.4309450f, 1.4340552f, 1.4371808f, 1.4403215f, 1.4434776f, 1.4466496f, 1.4498368f,
     1.4530395f, 1.4562578f, 1.4594922f, 1.4627424f, 1.4660079f, 1.4692898f, 1.4725874f,
     1.4759012f, 1.4792306f, 1.4825765f, 1.4859391f, 1.4893174f, 1.4927114f, 1.4961224f,
     1.4995503f, 1.5029939f, 1.5064543f, 1.5099318f, 1.5134252f, 1.5169357f, 1.5204633f,
     1.5240075f, 1.5275687f, 1.5311470f, 1.5347422f, 1.5383544f, 1.5419839f, 1.5456313f,
     1.5492957f, 1.5529767f, 1.5566763f, 1.5603931f, 1.5641269f, 1.5678791f, 1.5716486f,
     1.5754361f, 1.5792411f, 1.5830645f, 1.5869060f, 1.5907655f, 1.5946432f, 1.5985382f,
     1.6024523f, 1.6063849f, 1.6103354f, 1.6143050f, 1.6182930f, 1.6222990f, 1.6263244f,
     1.6303686f, 1.6344307f, 1.6385129f, 1.6426135f, 1.6467334f, 1.6508723f, 1.6550300f,
     1.6592076f, 1.6634043f, 1.6676207f, 1.6718560f, 1.6761111f, 1.6803863f, 1.6846810f,
     1.6889955f, 1.6933294f, 1.6976835f, 1.7020577f, 1.7064517f, 1.7108667f, 1.7153013f,
     1.7197560f, 1.7242314f, 1.7287274f, 1.7332436f, 1.7377812f, 1.7423391f, 1.7469171f,
     1.7515164f, 1.7561368f, 1.7607781f, 1.7654407f, 1.7701243f, 1.7748291f, 1.7795553f,
     1.7843025f, 1.7890720f, 1.7938621f, 1.7986744f, 1.8035082f, 1.8083641f, 1.8132413f,
     1.8181409f, 1.8230630f, 1.8280064f, 1.8329721f, 1.8379607f, 1.8429710f, 1.8480040f,
     1.8530590f, 1.8581377f, 1.8632383f, 1.8683614f, 1.8735085f, 1.8786771f, 1.8838697f,
     1.8890853f, 1.8943238f, 1.8995856f, 1.9048710f, 1.9101799f, 1.9155116f, 1.9208678f,
     1.9262469f, 1.9316501f, 1.9370773f, 1.9425280f, 1.9480035f, 1.9535021f, 1.9590255f,
     1.9645728f, 1.9701450f, 1.9757409f, 1.9813617f, 1.9870073f, 1.9926780f, 1.9983721f,
     2.0040924f, 2.0098369f, 2.0156065f, 2.0214014f, 2.0272213f, 2.0330673f, 2.0389376f,
     2.0448338f, 2.0507555f, 2.0567029f, 2.0626752f, 2.0686745f, 2.0746998f, 2.0807500f,
     2.0868271f, 2.0929298f, 2.0990592f, 2.1052145f, 2.1113968f, 2.1176053f, 2.1238400f,
     2.1301013f, 2.1363896f, 2.1427052f, 2.1490477f, 2.1554167f, 2.1618129f, 2.1682370f,
     2.1746875f, 2.1811657f, 2.1876712f, 2.1942046f, 2.2007656f, 2.2073538f, 2.2139698f,
     2.2206139f, 2.2272867f, 2.2339867f, 2.2407147f, 2.2474714f, 2.2542568f, 2.2610695f,
     2.2679113f, 2.2747813f, 2.2816807f, 2.2886086f, 2.2955650f, 2.3025508f, 2.3095650f,
     2.3166082f, 2.3236812f, 2.3307835f, 2.3379143f, 2.3450753f, 2.3522650f, 2.3594847f,
     2.3667352f, 2.3740142f, 2.3813236f, 2.3886626f, 2.3960317f, 2.4034311f, 2.4108600f,
     2.4183194f, 2.4258097f, 2.4333303f, 2.4408809f, 2.4484627f, 2.4560748f, 2.4637173f,
     2.4713922f, 2.4790965f, 2.4868317f, 2.4945985f, 2.5023965f, 2.5102264f, 2.5180866f,
     2.5259783f, 2.5339025f, 2.5418573f, 2.5498437f, 2.5578616f, 2.5659119f, 2.5739936f,
     2.5821079f, 2.5902532f, 2.5984315f, 2.6066417f, 2.6148846f, 2.6231591f, 2.6314659f,
     2.6398059f, 2.6481779f, 2.6565820f, 2.6650197f, 2.6734899f, 2.6819934f, 2.6905289f,
     2.6990980f, 2.7076988f, 2.7163342f, 2.7250023f, 2.7337045f, 2.7424390f, 2.7512066f,
     2.7600075f, 2.7688432f, 2.7777118f, 2.7866133f, 2.7955494f, 2.8045196f, 2.8135224f,
     2.8225596f, 2.8316312f, 2.8407374f, 2.8498754f, 2.8590491f, 2.8682578f, 2.8774995f,
     2.8867744f, 2.8960862f, 2.9054307f, 2.9148094f, 2.9242234f, 2.9336726f, 2.9431544f,
     2.9526724f, 2.9622255f, 2.9718115f, 2.9814342f, 2.9910908f, 3.0007822f, 3.0105093f,
     3.0202707f, 3.0300681f, 3.0398992f, 3.0497665f, 3.0596679f, 3.0696058f, 3.0795780f,
     3.0895853f, 3.0996288f, 3.1097070f, 3.1198199f, 3.1299694f, 3.1401539f, 3.1503735f,
     3.1606292f, 3.1709204f, 3.1812470f, 3.1916085f, 3.2020065f, 3.2124405f, 3.2229088f,
     3.2334132f, 3.2439547f, 3.2545300f, 3.2651418f, 3.2757885f, 3.2864728f, 3.2971922f,
     3.3079468f, 3.3187376f, 3.3295638f, 3.3404247f, 3.3513230f, 3.3622570f, 3.3732260f,
     3.3842319f, 3.3952738f, 3.4063492f, 3.4174626f, 3.4286115f, 3.4397951f, 3.4510151f,
     3.4622719f, 3.4735626f, 3.4848902f, 3.4962538f, 3.5076526f, 3.5190876f, 3.5305570f,
     3.5420637f, 3.5536049f, 3.5651827f, 3.5767933f, 3.5884425f, 3.6001266f, 3.6118446f,
     3.6236006f, 3.6353897f, 3.6472159f, 3.6590764f, 3.6709721f, 3.6829031f, 3.6948717f,
     3.7068726f, 3.7189091f, 3.7309812f, 3.7430869f, 3.7552294f, 3.7674055f, 3.7796176f,
     3.7918645f, 3.8041452f, 3.8164609f, 3.8288095f, 3.8411963f, 3.8536140f, 3.8660679f,
     3.8785559f, 3.8910769f, 3.9036332f, 3.9162248f, 3.9288473f, 3.9415053f, 3.9541964f,
     3.9669207f, 3.9796794f, 3.9924725f, 4.0052988f, 4.0181573f, 4.0310480f, 4.0439742f,
     4.0569304f, 4.0699210f, 4.0829450f, 4.0960000f, 4.1090884f, 4.1222089f, 4.1353640f,
     4.1485477f, 4.1617648f, 4.1750128f, 4.1882942f, 4.2016065f, 4.2149486f, 4.2283227f,
     4.2417289f, 4.2551659f, 4.2686313f, 4.2821299f, 4.2956593f, 4.3092169f, 4.3228051f,
     4.3364240f, 4.3500723f, 4.3637498f, 4.3774591f, 4.3911963f, 4.4049613f, 4.4187555f,
     4.4325799f, 4.4464307f, 4.4603117f, 4.4742189f, 4.4881561f, 4.5021194f, 4.5161114f,
     4.5301305f, 4.5441754f, 4.5582474f, 4.5723476f, 4.5864734f, 4.6006246f, 4.6148024f,
     4.6290069f, 4.6432350f, 4.6574882f, 4.6717677f, 4.6860719f, 4.7004008f, 4.7147528f,
     4.7291321f, 4.7435328f, 4.7579549f, 4.7724010f, 4.7868711f, 4.8013649f, 4.8158810f,
     4.8304176f, 4.8449748f, 4.8595566f, 4.8741585f, 4.8887820f, 4.9034252f, 4.9180897f,
     4.9327721f, 4.9474753f, 4.9621977f, 4.9769420f, 4.9917022f, 5.0064809f, 5.0212780f,
     5.0360934f, 5.0509284f, 5.0657766f, 5.0806440f, 5.0955274f, 5.1104264f, 5.1253408f,
     5.1402722f, 5.1552170f, 5.1701782f, 5.1851540f, 5.2001410f, 5.2151438f, 5.2301605f,
     5.2451877f, 5.2602283f, 5.2752838f, 5.2903490f, 5.3054237f, 5.3205091f, 5.3356068f,
     5.3507148f, 5.3658345f, 5.3809590f, 5.3960964f, 5.4112380f, 5.4263919f, 5.4415511f,
     5.4567170f, 5.4718928f, 5.4870730f, 5.5022555f, 5.5174488f, 5.5326456f, 5.5478438f,
     5.5630519f, 5.5782590f, 5.5934701f, 5.6086866f, 5.6239030f, 5.6391206f, 5.6543392f,
     5.6695619f, 5.6847830f, 5.7000060f, 5.7152266f, 5.7304447f, 5.7456635f, 5.7608771f,
     5.7760907f, 5.7913022f, 5.8065074f, 5.8217097f, 5.8369087f, 5.8520985f, 5.8672899f,
     5.8824694f, 5.8976422f, 5.9128099f, 5.9279702f, 5.9431207f, 5.9582631f, 5.9733968f,
     5.9885177f, 6.0036331f, 6.0187328f, 6.0338223f, 6.0489012f, 6.0639671f, 6.0790156f,
     6.0940563f, 6.1090807f, 6.1240884f, 6.1390830f, 6.1540600f, 6.1690211f, 6.1839637f,
     6.1988895f, 6.2137979f, 6.2286846f, 6.2435530f, 6.2584049f, 6.2732294f, 6.2880385f,
     6.3028215f, 6.3175839f, 6.3323213f, 6.3470394f, 6.3617273f, 6.3763949f, 6.3910356f,
     6.4056489f, 6.4202363f, 6.4347952f, 6.4493274f, 6.4638302f, 6.4783030f, 6.4927476f,
     6.5071592f, 6.5215437f, 6.5358942f, 6.5502123f, 6.5644953f, 6.5787449f, 6.5929629f,
     6.6071420f, 6.6212885f, 6.6353974f, 6.6494703f, 6.6635046f, 6.6775042f, 6.6914574f,
     6.7053793f, 6.7192561f, 6.7330938f, 6.7468898f, 6.7606412f, 6.7743521f, 6.7880220f,
     6.8016433f, 6.8152226f, 6.8287547f, 6.8422436f, 6.8556820f, 6.8690738f, 6.8824209f,
     6.8957158f, 6.9089626f, 6.9221584f, 6.9353051f, 6.9483997f, 6.9614442f, 6.9744307f,
     6.9873684f, 7.0002519f, 7.0130782f, 7.0258517f, 7.0385718f, 7.0512284f, 7.0638353f,
     7.0763776f, 7.0888667f, 7.1012926f, 7.1136618f, 7.1259691f, 7.1382139f, 7.1503980f,
     7.1625210f, 7.1745799f, 7.1865741f, 7.1985032f, 7.2103689f, 7.2221684f, 7.2339011f,
     7.2455714f, 7.2571664f, 7.2686980f, 7.2801582f, 7.2915514f, 7.3028722f, 7.3141276f,
     7.3253069f, 7.3364146f, 7.3474453f, 7.3584084f, 7.3692960f, 7.3801100f, 7.3908499f,
     7.4015100f, 7.4121002f, 7.4226071f, 7.4330404f, 7.4433946f, 7.4536691f, 7.4638633f,
     7.4739821f, 7.4840145f, 7.4939679f, 7.5038390f, 7.5136328f, 7.5233408f, 7.5329626f,
     7.5425055f, 7.5519586f, 7.5613294f, 7.5706146f, 7.5798138f, 7.5889240f, 7.5979473f,
     7.6068832f, 7.6157340f, 7.6244912f, 7.6331651f, 7.6417418f, 7.6502317f, 7.6586315f,
     7.6669409f, 7.6751541f, 7.6832759f, 7.6913061f, 7.6992414f, 7.7070815f, 7.7148286f,
     7.7224852f, 7.7300398f, 7.7375003f, 7.7448663f, 7.7521318f, 7.7593049f, 7.7663768f,
     7.7733526f, 7.7802321f, 7.7870065f, 7.7936865f, 7.8002636f, 7.8067428f, 7.8131183f,
     7.8193925f, 7.8255706f, 7.8316413f, 7.8376124f, 7.8434809f, 7.8492437f, 7.8549032f,
     7.8604620f, 7.8659170f, 7.8712650f, 7.8765113f, 7.8816473f, 7.8866840f, 7.8916125f,
     7.8964299f, 7.9011442f, 7.9057553f, 7.9102601f, 7.9146527f, 7.9189384f, 7.9231142f,
     7.9271885f, 7.9311495f, 7.9350028f, 7.9387510f, 7.9423854f, 7.9459086f, 7.9493260f,
     7.9526348f, 7.9558317f, 7.9589196f, 7.9618953f, 7.9647559f, 7.9675098f, 7.9701567f,
     7.9726881f, 7.9751122f, 7.9774205f, 7.9796156f, 7.9817002f, 7.9836744f, 7.9855350f,
     7.9872877f, 7.9889209f, 7.9904518f, 7.9918602f, 7.9931603f, 7.9943493f, 7.9954213f,
     7.9963819f, 7.9972312f, 7.9979662f, 7.9985897f, 7.9990988f, 7.9994908f, 7.9997740f,
     7.9999485f, 8.0000000f},
    {1.0000000f,  1.0000048f,  1.0000193f,  1.0000429f,  1.0000756f,  1.0001180f,  1.0001700f,
     1.0002313f,  1.0003021f,  1.0003820f,  1.0004717f,  1.0005710f,  1.0006795f,  1.0007972f,
     1.0009249f,  1.0010614f,  1.0012080f,  1.0013640f,  1.0015290f,  1.0017039f,  1.0018879f,
     1.0020815f,  1.0022849f,  1.0024975f,  1.0027197f,  1.0029513f,  1.0031923f,  1.0034430f,
     1.0037033f,  1.0039731f,  1.0042525f,  1.0045411f,  1.0048395f,  1.0051473f,  1.0054650f,
     1.0057920f,  1.0061286f,  1.0064748f,  1.0068306f,  1.0071957f,  1.0075708f,  1.0079558f,
     1.0083500f,  1.0087539f,  1.0091674f,  1.0095907f,  1.0100239f,  1.0104663f,  1.0109186f,
     1.0113806f,  1.0118528f,  1.0123341f,  1.0128255f,  1.0133264f,  1.0138373f,  1.0143580f,
     1.0148882f,  1.0154288f,  1.0159784f,  1.0165384f,  1.0171083f,  1.0176879f,  1.0182776f,
     1.0188768f,  1.0194862f,  1.0201056f,  1.0207350f,  1.0213742f,  1.0220234f,  1.0226825f,
     1.0233516f,  1.0240309f,  1.0247206f,  1.0254200f,  1.0261293f,  1.0268489f,  1.0275785f,
     1.0283183f,  1.0290684f,  1.0298287f,  1.0305992f,  1.0313802f,  1.0321708f,  1.0329724f,
     1.0337837f,  1.0346055f,  1.0354378f,  1.0362802f,  1.0371329f,  1.0379963f,  1.0388700f,
     1.0397540f,  1.0406486f,  1.0415540f,  1.0424694f,  1.0433956f,  1.0443324f,  1.0452799f,
     1.0462375f,  1.0472060f,  1.0481856f,  1.0491754f,  1.0501757f,  1.0511871f,  1.0522097f,
     1.0532424f,  1.0542865f,  1.0553409f,  1.0564065f,  1.0574830f,  1.0585701f,  1.0596687f,
     1.0607776f,  1.0618979f,  1.0630292f,  1.0641721f,  1.0653253f,  1.0664904f,  1.0676659f,
     1.0688533f,  1.0700513f,  1.0712610f,  1.0724821f,  1.0737141f,  1.0749580f,  1.0762128f,
     1.0774792f,  1.0787571f,  1.0800463f,  1.0813475f,  1.0826599f,  1.0839840f,  1.0853196f,
     1.0866668f,  1.0880265f,  1.0893970f,  1.0907801f,  1.0921741f,  1.0935808f,  1.0949990f,
     1.0964290f,  1.0978711f,  1.0993251f,  1.1007911f,  1.1022696f,  1.1037596f,  1.1052625f,
     1.1067769f,  1.1083039f,  1.1098433f,  1.1113952f,  1.1129590f,  1.1145352f,  1.1161243f,
     1.1177255f,  1.1193395f,  1.1209657f,  1.1226051f,  1.1242566f,  1.1259211f,  1.1275983f,
     1.1292884f,  1.1309912f,  1.1327071f,  1.1344356f,  1.1361774f,  1.1379320f,  1.1397002f,
     1.1414808f,  1.1432750f,  1.1450824f,  1.1469032f,  1.1487370f,  1.1505842f,  1.1524450f,
     1.1543193f,  1.1562074f,  1.1581082f,  1.1600233f,  1.1619521f,  1.1638944f,  1.1658507f,
     1.1678205f,  1.1698045f,  1.1718022f,  1.1738141f,  1.1758399f,  1.1778798f,  1.1799340f,
     1.1820024f,  1.1840851f,  1.1861816f,  1.1882936f,  1.1904189f,  1.1925594f,  1.1947145f,
     1.1968837f,  1.1990680f,  1.2012669f,  1.2034802f,  1.2057088f,  1.2079522f,  1.2102112f,
     1.2124845f,  1.2147732f,  1.2170770f,  1.2193958f,  1.2217302f,  1.2240798f,  1.2264451f,
     1.2288254f,  1.2312220f,  1.2336334f,  1.2360610f,  1.2385042f,  1.2409631f,  1.2434379f,
     1.2459291f,  1.2484358f,  1.2509585f,  1.2534980f,  1.2560532f,  1.2586251f,  1.2612131f,
     1.2638173f,  1.2664386f,  1.2690762f,  1.2717301f,  1.2744009f,  1.2770888f,  1.2797934f,
     1.2825151f,  1.2852540f,  1.2880098f,  1.2907825f,  1.2935728f,  1.2963802f,  1.2992056f,
     1.3020478f,  1.3049076f,  1.3077855f,  1.3106807f,  1.3135940f,  1.3165251f,  1.3194739f,
     1.3224410f,  1.3254267f,  1.3284300f,  1.3314517f,  1.3344919f,  1.3375504f,  1.3406276f,
     1.3437233f,  1.3468384f,  1.3499715f,  1.3531242f,  1.3562948f,  1.3594852f,  1.3626948f,
     1.3659237f,  1.3691721f,  1.3724394f,  1.3757267f,  1.3790331f,  1.3823595f,  1.3857060f,
     1.3890722f,  1.3924581f,  1.3958645f,  1.3992907f,  1.4027372f,  1.4062043f,  1.4096919f,
     1.4131995f,  1.4167288f,  1.4202779f,  1.4238485f,  1.4274393f,  1.4310519f,  1.4346856f,
     1.4383407f,  1.4420168f,  1.4457141f,  1.4494331f,  1.4531740f,  1.4569372f,  1.4607215f,
     1.4645284f,  1.4683570f,  1.4722078f,  1.4760813f,  1.4799768f,  1.4838950f,  1.4878356f,
     1.4917991f,  1.4957856f,  1.4997954f,  1.5038281f,  1.5078836f,  1.5119632f,  1.5160653f,
     1.5201915f,  1.5243410f,  1.5285148f,  1.5327122f,  1.5369330f,  1.5411791f,  1.5454492f,
     1.5497428f,  1.5540616f,  1.5584047f,  1.5627733f,  1.5671661f,  1.5715839f,  1.5760270f,
     1.5804951f,  1.5849888f,  1.5895083f,  1.5940524f,  1.5986231f,  1.6032196f,  1.6078426f,
     1.6124909f,  1.6171656f,  1.6218668f,  1.6265944f,  1.6313484f,  1.6361299f,  1.6409379f,
     1.6457728f,  1.6506349f,  1.6555249f,  1.6604424f,  1.6653867f,  1.6703594f,  1.6753598f,
     1.6803885f,  1.6854448f,  1.6905297f,  1.6956440f,  1.7007860f,  1.7059559f,  1.7111556f,
     1.7163851f,  1.7216425f,  1.7269295f,  1.7322468f,  1.7375926f,  1.7429686f,  1.7483751f,
     1.7538111f,  1.7592775f,  1.7647744f,  1.7703016f,  1.7758592f,  1.7814479f,  1.7870686f,
     1.7927198f,  1.7984013f,  1.8041158f,  1.8098615f,  1.8156382f,  1.8214480f,  1.8272892f,
     1.8331629f,  1.8390685f,  1.8450076f,  1.8509794f,  1.8569842f,  1.8630222f,  1.8690921f,
     1.8751966f,  1.8813350f,  1.8875065f,  1.8937128f,  1.8999531f,  1.9062267f,  1.9125358f,
     1.9188797f,  1.9252569f,  1.9316709f,  1.9381194f,  1.9446035f,  1.9511230f,  1.9576775f,
     1.9642691f,  1.9708962f,  1.9775602f,  1.9842597f,  1.9909960f,  1.9977701f,  2.0045809f,
     2.0114288f,  2.0183133f,  2.0252361f,  2.0321966f,  2.0391946f,  2.0462321f,  2.0533069f,
     2.0604201f,  2.0675724f,  2.0747640f,  2.0819941f,  2.0892647f,  2.0965742f,  2.1039224f,
     2.1113114f,  2.1187407f,  2.1262100f,  2.1337203f,  2.1412712f,  2.1488630f,  2.1564960f,
     2.1641697f,  2.1718864f,  2.1796432f,  2.1874429f,  2.1952846f,  2.2031690f,  2.2110954f,
     2.2190652f,  2.2270787f,  2.2351342f,  2.2432334f,  2.2513773f,  2.2595640f,  2.2677954f,
     2.2760702f,  2.2843915f,  2.2927562f,  2.3011654f,  2.3096220f,  2.3181215f,  2.3266684f,
     2.3352609f,  2.3438994f,  2.3525840f,  2.3613160f,  2.3700947f,  2.3789193f,  2.3877927f,
     2.3967125f,  2.4056805f,  2.4146969f,  2.4237606f,  2.4328741f,  2.4420348f,  2.4512454f,
     2.4605045f,  2.4698140f,  2.4791720f,  2.4885804f,  2.4980394f,  2.5075494f,  2.5171078f,
     2.5267193f,  2.5363806f,  2.5460934f,  2.5558582f,  2.5656745f,  2.5755442f,  2.5854645f,
     2.5954381f,  2.6054646f,  2.6155443f,  2.6256760f,  2.6358632f,  2.6461047f,  2.6563984f,
     2.6667479f,  2.6771512f,  2.6876101f,  2.6981234f,  2.7086932f,  2.7193181f,  2.7299985f,
     2.7407347f,  2.7515280f,  2.7623788f,  2.7732865f,  2.7842506f,  2.7952724f,  2.8063532f,
     2.8174907f,  2.8286869f,  2.8399415f,  2.8512556f,  2.8626288f,  2.8740606f,  2.8855521f,
     2.8971039f,  2.9087171f,  2.9203895f,  2.9321224f,  2.9439170f,  2.9557737f,  2.9676901f,
     2.9796695f,  2.9917103f,  3.0038149f,  3.0159816f,  3.0282110f,  3.0405044f,  3.0528601f,
     3.0652797f,  3.0777645f,  3.0903138f,  3.1029262f,  3.1156050f,  3.1283476f,  3.1411564f,
     3.1540329f,  3.1669734f,  3.1799813f,  3.1930550f,  3.2061961f,  3.2194047f,  3.2326795f,
     3.2460227f,  3.2594348f,  3.2729152f,  3.2864633f,  3.3000815f,  3.3137682f,  3.3275238f,
     3.3413520f,  3.3552477f,  3.3692135f,  3.3832510f,  3.3973595f,  3.4115405f,  3.4257911f,
     3.4401139f,  3.4545106f,  3.4689782f,  3.4835181f,  3.4981309f,  3.5128181f,  3.5275779f,
     3.5424129f,  3.5573202f,  3.5723037f,  3.5873614f,  3.6024949f,  3.6177025f,  3.6329855f,
     3.6483458f,  3.6637812f,  3.6792923f,  3.6948820f,  3.7105481f,  3.7262924f,  3.7421129f,
     3.7580124f,  3.7739877f,  3.7900442f,  3.8061785f,  3.8223937f,  3.8386864f,  3.8550583f,
     3.8715097f,  3.8880438f,  3.9046571f,  3.9213500f,  3.9381257f,  3.9549831f,  3.9719201f,
     3.9889399f,  4.0060428f,  4.0232292f,  4.0404943f,  4.0578453f,  4.0752812f,  4.0927984f,
     4.1103972f,  4.1280851f,  4.1458541f,  4.1637076f,  4.1816472f,  4.1996735f,  4.2177813f,
     4.2359780f,  4.2542613f,  4.2726272f,  4.2910836f,  4.3096249f,  4.3282530f,  4.3469699f,
     4.3657731f,  4.3846659f,  4.4036444f,  4.4227133f,  4.4418687f,  4.4611156f,  4.4804497f,
     4.4998731f,  4.5193876f,  4.5389907f,  4.5586828f,  4.5784673f,  4.5983417f,  4.6183062f,
     4.6383630f,  4.6585109f,  4.6787502f,  4.6990797f,  4.7195032f,  4.7400195f,  4.7606255f,
     4.7813251f,  4.8021204f,  4.8230050f,  4.8439844f,  4.8650556f,  4.8862242f,  4.9074854f,
     4.9288397f,  4.9502890f,  4.9718322f,  4.9934678f,  5.0152015f,  5.0370301f,  5.0589524f,
     5.0809722f,  5.1030882f,  5.1252952f,  5.1476028f,  5.1700059f,  5.1925030f,  5.2150982f,
     5.2377918f,  5.2605786f,  5.2834646f,  5.3064484f,  5.3295283f,  5.3527066f,  5.3759799f,
     5.3993542f,  5.4228242f,  5.4463941f,  5.4700562f,  5.4938230f,  5.5176867f,  5.5416456f,
     5.5657083f,  5.5898647f,  5.6141236f,  5.6384790f,  5.6629332f,  5.6874867f,  5.7121440f,
     5.7368947f,  5.7617456f,  5.7866970f,  5.8117449f,  5.8368960f,  5.8621442f,  5.8874940f,
     5.9129437f,  5.9384912f,  5.9641390f,  5.9898831f,  6.0157347f,  6.0416785f,  6.0677261f,
     6.0938730f,  6.1201173f,  6.1464639f,  6.1729129f,  6.1994554f,  6.2261008f,  6.2528448f,
     6.2796874f,  6.3066314f,  6.3336769f,  6.3608218f,  6.3880638f,  6.4154032f,  6.4428473f,
     6.4703843f,  6.4980239f,  6.5257641f,  6.5536000f,  6.5815367f,  6.6095719f,  6.6377108f,
     6.6659408f,  6.6942723f,  6.7227003f,  6.7512301f,  6.7798566f,  6.8085773f,  6.8373975f,
     6.8663174f,  6.8953343f,  6.9244432f,  6.9536546f,  6.9829634f,  7.0123643f,  7.0418626f,
     7.0714584f,  7.1011490f,  7.1309346f,  7.1608206f,  7.1907987f,  7.2208690f,  7.2510343f,
     7.2812973f,  7.3116496f,  7.3420997f,  7.3726390f,  7.4032760f,  7.4340022f,  7.4648231f,
     7.4957360f,  7.5267377f,  7.5578311f,  7.5890192f,  7.6202959f,  7.6516611f,  7.6831176f,
     7.7146655f,  7.7462984f,  7.7780193f,  7.8098312f,  7.8417308f,  7.8737179f,  7.9057893f,
     7.9379542f,  7.9701999f,  8.0025260f,  8.0349388f,  8.0674381f,  8.1000236f,  8.1326920f,
     8.1654397f,  8.1982664f,  8.2311817f,  8.2641756f,  8.2972510f,  8.3304043f,  8.3636386f,
     8.3969467f,  8.4303352f,  8.4638004f,  8.4973487f,  8.5309661f,  8.5646591f,  8.5984274f,
     8.6322705f,  8.6661916f,  8.7001762f,  8.7342381f,  8.7683696f,  8.8025705f,  8.8368402f,
     8.8711819f,  8.9055879f,  8.9400651f,  8.9746093f,  9.0092125f,  9.0438855f,  9.0786239f,
     9.1134199f,  9.1482803f,  9.1832084f,  9.2181924f,  9.2532315f,  9.2883290f,  9.3234881f,
     9.3587046f,  9.3939815f,  9.4293028f,  9.4646873f,  9.5001146f,  9.5356040f,  9.5711389f,
     9.6067225f,  9.6423622f,  9.6780453f,  9.7137669f,  9.7495466f,  9.7853674f,  9.8212244f,
     9.8571375f,  9.8930810f,  9.9290667f,  9.9650979f,  10.0011613f, 10.0372601f, 10.0733937f,
     10.1095696f, 10.1457742f, 10.1820153f, 10.2182833f, 10.2545774f, 10.2909052f, 10.3272529f,
     10.3636326f, 10.4000390f, 10.4364623f, 10.4729105f, 10.5093825f, 10.5458640f, 10.5823810f,
     10.6189008f, 10.6554361f, 10.6919902f, 10.7285578f, 10.7651331f, 10.8017196f, 10.8383163f,
     10.8749128f, 10.9115267f, 10.9481335f, 10.9847460f, 11.0213634f, 11.0579795f, 11.0945838f,
     11.1311990f, 11.1678048f, 11.2043999f, 11.2409929f, 11.2775728f, 11.3141433f, 11.3506982f,
     11.3872413f, 11.4237714f, 11.4602771f, 11.4967672f, 11.5332456f, 11.5696857f, 11.6061165f,
     11.6425114f, 11.6788844f, 11.7152238f, 11.7515438f, 11.7878173f, 11.8240687f, 11.8602812f,
     11.8964533f, 11.9325890f, 11.9686814f, 12.0047347f, 12.0407419f, 12.0767018f, 12.1126182f,
     12.1484790f, 12.1842990f, 12.2200603f, 12.2557671f, 12.2914124f, 12.3270001f, 12.3625343f,
     12.3979969f, 12.4334032f, 12.4687403f, 12.5040125f, 12.5392126f, 12.5743504f, 12.6093960f,
     12.6443876f, 12.6792896f, 12.7141175f, 12.7488641f, 12.7835219f, 12.8181010f, 12.8525998f,
     12.8869993f, 12.9213155f, 12.9555349f, 12.9896678f, 13.0236950f, 13.0576265f, 13.0914667f,
     13.1251962f, 13.1588253f, 13.1923464f, 13.2257638f, 13.2590699f, 13.2922691f, 13.3253416f,
     13.3583101f, 13.3911607f, 13.4238857f, 13.4564956f, 13.4889889f, 13.5213392f, 13.5535820f,
     13.5856784f, 13.6176578f, 13.6494937f, 13.6812030f, 13.7127718f, 13.7441982f, 13.7754869f,
     13.8066362f, 13.8376382f, 13.8684912f, 13.8991934f, 13.9297497f, 13.9601520f, 13.9903985f,
     14.0205006f, 14.0504243f, 14.0802003f, 14.1098074f, 14.1392571f, 14.1685346f, 14.1976579f,
     14.2265992f, 14.2553699f, 14.2839552f, 14.3123798f, 14.3406224f, 14.3686879f, 14.3965746f,
     14.4242677f, 14.4517923f, 14.4791132f, 14.5062557f, 14.5332047f, 14.5599587f, 14.5865160f,
     14.6128886f, 14.6390478f, 14.6650124f, 14.6907740f, 14.7163448f, 14.7417027f, 14.7668460f,
     14.7917940f, 14.8165175f, 14.8410356f, 14.8653401f, 14.8894293f, 14.9132949f, 14.9369422f,
     14.9603699f, 14.9835835f, 15.0065604f, 15.0293274f, 15.0518477f, 15.0741483f, 15.0962206f,
     15.1180631f, 15.1396605f, 15.1610253f, 15.1821563f, 15.2030450f, 15.2236901f, 15.2440973f,
     15.2642725f, 15.2841857f, 15.3038572f, 15.3232856f, 15.3424553f, 15.3613867f, 15.3800569f,
     15.3984790f, 15.4166520f, 15.4345527f, 15.4522092f, 15.4695983f, 15.4867336f, 15.5035992f,
     15.5202013f, 15.5365536f, 15.5526255f, 15.5684380f, 15.5839827f, 15.5992511f, 15.6142496f,
     15.6289846f, 15.6434477f, 15.6576306f, 15.6715469f, 15.6851737f, 15.6985395f, 15.7116213f,
     15.7244107f, 15.7369291f, 15.7491756f, 15.7611421f, 15.7728127f, 15.7842016f, 15.7953004f,
     15.8061310f, 15.8166625f, 15.8269093f, 15.8368781f, 15.8465457f, 15.8559190f, 15.8650123f,
     15.8738175f, 15.8823264f, 15.8905461f, 15.8984683f, 15.9060849f, 15.9134181f, 15.9204674f,
     15.9272096f, 15.9336670f, 15.9398163f, 15.9456646f, 15.9512193f, 15.9564798f, 15.9614382f,
     15.9661094f, 15.9704626f, 15.9745432f, 15.9782975f, 15.9817635f, 15.9849332f, 15.9877912f,
     15.9903525f, 15.9926169f, 15.9945766f, 15.9962393f, 15.9975970f, 15.9986420f, 15.9993973f,
     15.9998627f, 16.0000000f},
    {1.0000000f,  1.0000060f,  1.0000241f,  1.0000536f,  1.0000945f,  1.0001475f,  1.0002125f,
     1.0002891f,  1.0003777f,  1.0004776f,  1.0005897f,  1.0007138f,  1.0008495f,  1.0009966f,
     1.0011562f,  1.0013270f,  1.0015103f,  1.0017052f,  1.0019116f,  1.0021303f,  1.0023604f,
     1.0026025f,  1.0028570f,  1.0031229f,  1.0034008f,  1.0036905f,  1.0039920f,  1.0043056f,
     1.0046313f,  1.0049688f,  1.0053184f,  1.0056796f,  1.0060530f,  1.0064382f,  1.0068359f,
     1.0072453f,  1.0076665f,  1.0081001f,  1.0085455f,  1.0090027f,  1.0094725f,  1.0099546f,
     1.0104484f,  1.0109543f,  1.0114723f,  1.0120027f,  1.0125456f,  1.0131000f,  1.0136668f,
     1.0142459f,  1.0148378f,  1.0154414f,  1.0160575f,  1.0166856f,  1.0173264f,  1.0179795f,
     1.0186448f,  1.0193230f,  1.0200128f,  1.0207156f,  1.0214310f,  1.0221585f,  1.0228990f,
     1.0236514f,  1.0244168f,  1.0251948f,  1.0259856f,  1.0267887f,  1.0276046f,  1.0284330f,
     1.0292743f,  1.0301284f,  1.0309957f,  1.0318754f,  1.0327677f,  1.0336730f,  1.0345911f,
     1.0355223f,  1.0364666f,  1.0374238f,  1.0383942f,  1.0393779f,  1.0403740f,  1.0413840f,
     1.0424065f,  1.0434424f,  1.0444918f,  1.0455541f,  1.0466297f,  1.0477188f,  1.0488214f,
     1.0499370f,  1.0510663f,  1.0522095f,  1.0533656f,  1.0545356f,  1.0557193f,  1.0569167f,
     1.0581271f,  1.0593517f,  1.0605905f,  1.0618425f,  1.0631082f,  1.0643882f,  1.0656826f,
     1.0669901f,  1.0683125f,  1.0696482f,  1.0709985f,  1.0723628f,  1.0737409f,  1.0751342f,
     1.0765406f,  1.0779620f,  1.0793978f,  1.0808486f,  1.0823128f,  1.0837926f,  1.0852860f,
     1.0867950f,  1.0883178f,  1.0898560f,  1.0914091f,  1.0929764f,  1.0945594f,  1.0961568f,
     1.0977693f,  1.0993971f,  1.1010397f,  1.1026981f,  1.1043712f,  1.1060597f,  1.1077636f,
     1.1094827f,  1.1112182f,  1.1129681f,  1.1147346f,  1.1165157f,  1.1183135f,  1.1201267f,
     1.1219555f,  1.1238005f,  1.1256611f,  1.1275379f,  1.1294312f,  1.1313400f,  1.1332659f,
     1.1352071f,  1.1371652f,  1.1391399f,  1.1411313f,  1.1431388f,  1.1451628f,  1.1472041f,
     1.1492617f,  1.1513365f,  1.1534278f,  1.1555367f,  1.1576621f,  1.1598049f,  1.1619650f,
     1.1641424f,  1.1663369f,  1.1685493f,  1.1707786f,  1.1730261f,  1.1752910f,  1.1775742f,
     1.1798744f,  1.1821930f,  1.1845296f,  1.1868845f,  1.1892572f,  1.1916480f,  1.1940575f,
     1.1964855f,  1.1989323f,  1.2013967f,  1.2038805f,  1.2063832f,  1.2089045f,  1.2114449f,
     1.2140041f,  1.2165826f,  1.2191801f,  1.2217972f,  1.2244336f,  1.2270894f,  1.2297651f,
     1.2324604f,  1.2351755f,  1.2379097f,  1.2406654f,  1.2434398f,  1.2462352f,  1.2490509f,
     1.2518864f,  1.2547430f,  1.2576199f,  1.2605169f,  1.2634354f,  1.2663746f,  1.2693355f,
     1.2723167f,  1.2753195f,  1.2783435f,  1.2813887f,  1.2844558f,  1.2875442f,  1.2906549f,
     1.2937868f,  1.2969417f,  1.3001176f,  1.3033164f,  1.3065374f,  1.3097807f,  1.3130465f,
     1.3163358f,  1.3196470f,  1.3229811f,  1.3263391f,  1.3297195f,  1.3331238f,  1.3365512f,
     1.3400018f,  1.3434768f,  1.3469753f,  1.3504972f,  1.3540434f,  1.3576141f,  1.3612091f,
     1.3648285f,  1.3684729f,  1.3721417f,  1.3758349f,  1.3795536f,  1.3832972f,  1.3870667f,
     1.3908608f,  1.3946804f,  1.3985263f,  1.4023975f,  1.4062950f,  1.4102186f,  1.4141680f,
     1.4181442f,  1.4221475f,  1.4261767f,  1.4302329f,  1.4343163f,  1.4384265f,  1.4425643f,
     1.4467295f,  1.4509230f,  1.4551433f,  1.4593924f,  1.4636681f,  1.4679731f,  1.4723065f,
     1.4766686f,  1.4810597f,  1.4854788f,  1.4899277f,  1.4944052f,  1.4989124f,  1.5034495f,
     1.5080163f,  1.5126125f,  1.5172393f,  1.5218958f,  1.5265829f,  1.5313008f,  1.5360496f,
     1.5408287f,  1.5456401f,  1.5504817f,  1.5553557f,  1.5602603f,  1.5651978f,  1.5701673f,
     1.5751692f,  1.5802030f,  1.5852692f,  1.5903683f,  1.5955008f,  1.6006672f,  1.6058659f,
     1.6110991f,  1.6163655f,  1.6216659f,  1.6270010f,  1.6323701f,  1.6377740f,  1.6432123f,
     1.6486859f,  1.6541950f,  1.6597398f,  1.6653202f,  1.6709359f,  1.6765886f,  1.6822766f,
     1.6880017f,  1.6937631f,  1.6995622f,  1.7053981f,  1.7112706f,  1.7171822f,  1.7231315f,
     1.7291176f,  1.7351431f,  1.7412066f,  1.7473101f,  1.7534516f,  1.7596325f,  1.7658531f,
     1.7721131f,  1.7784135f,  1.7847545f,  1.7911347f,  1.7975567f,  1.8040197f,  1.8105245f,
     1.8170697f,  1.8236568f,  1.8302862f,  1.8369574f,  1.8436709f,  1.8504282f,  1.8572278f,
     1.8640706f,  1.8709569f,  1.8778878f,  1.8848629f,  1.8918812f,  1.8989451f,  1.9060536f,
     1.9132077f,  1.9204065f,  1.9276515f,  1.9349438f,  1.9422811f,  1.9496638f,  1.9570949f,
     1.9645741f,  1.9720990f,  1.9796721f,  1.9872944f,  1.9949635f,  2.0026819f,  2.0104499f,
     2.0182666f,  2.0261329f,  2.0340494f,  2.0420157f,  2.0500321f,  2.0580998f,  2.0662198f,
     2.0743905f,  2.0826115f,  2.0908867f,  2.0992138f,  2.1075924f,  2.1160258f,  2.1245115f,
     2.1330514f,  2.1416445f,  2.1502932f,  2.1589967f,  2.1677553f,  2.1765695f,  2.1854374f,
     2.1943632f,  2.2033458f,  2.2123843f,  2.2214812f,  2.2306355f,  2.2398461f,  2.2491166f,
     2.2584458f,  2.2678319f,  2.2772800f,  2.2867867f,  2.2963539f,  2.3059814f,  2.3156688f,
     2.3254190f,  2.3352301f,  2.3451041f,  2.3550392f,  2.3650373f,  2.3750999f,  2.3852257f,
     2.3954153f,  2.4056683f,  2.4159868f,  2.4263706f,  2.4368193f,  2.4473360f,  2.4579178f,
     2.4685659f,  2.4792818f,  2.4900661f,  2.5009175f,  2.5118391f,  2.5228289f,  2.5338865f,
     2.5450151f,  2.5562143f,  2.5674838f,  2.5788250f,  2.5902376f,  2.6017222f,  2.6132792f,
     2.6249083f,  2.6366129f,  2.6483889f,  2.6602406f,  2.6721666f,  2.6841685f,  2.6962450f,
     2.7083985f,  2.7206298f,  2.7329363f,  2.7453207f,  2.7577846f,  2.7703256f,  2.7829463f,
     2.7956453f,  2.8084272f,  2.8212876f,  2.8342281f,  2.8472534f,  2.8603570f,  2.8735457f,
     2.8868171f,  2.9001716f,  2.9136101f,  2.9271342f,  2.9407434f,  2.9544363f,  2.9682179f,
     2.9820844f,  2.9960388f,  3.0100816f,  3.0242114f,  3.0384321f,  3.0527400f,  3.0671391f,
     3.0816279f,  3.0962093f,  3.1108805f,  3.1256446f,  3.1405022f,  3.1554542f,  3.1704964f,
     3.1856367f,  3.2008699f,  3.2161990f,  3.2316249f,  3.2471470f,  3.2627685f,  3.2784852f,
     3.2943015f,  3.3102171f,  3.3262325f,  3.3423461f,  3.3585637f,  3.3748835f,  3.3913024f,
     3.4078264f,  3.4244523f,  3.4411834f,  3.4580181f,  3.4749597f,  3.4920063f,  3.5091587f,
     3.5264177f,  3.5437855f,  3.5612629f,  3.5788493f,  3.5965442f,  3.6143498f,  3.6322682f,
     3.6502962f,  3.6684373f,  3.6866910f,  3.7050596f,  3.7235424f,  3.7421389f,  3.7608513f,
     3.7796805f,  3.7986288f,  3.8176928f,  3.8368747f,  3.8561768f,  3.8756002f,  3.8951411f,
     3.9148049f,  3.9345895f,  3.9544989f,  3.9745308f,  3.9946862f,  4.0149675f,  4.0353726f,
     4.0559038f,  4.0765636f,  4.0973516f,  4.1182652f,  4.1393103f,  4.1604830f,  4.1817875f,
     4.2032263f,  4.2247937f,  4.2464958f,  4.2683302f,  4.2902993f,  4.3124044f,  4.3346427f,
     4.3570188f,  4.3795337f,  4.4021865f,  4.4249766f,  4.4479084f,  4.4709793f,  4.4941904f,
     4.5175481f,  4.5410442f,  4.5646835f,  4.5884687f,  4.6123991f,  4.6364775f,  4.6606994f,
     4.6850695f,  4.7095907f,  4.7342584f,  4.7590755f,  4.7840430f,  4.8091639f,  4.8344354f,
     4.8598625f,  4.8854402f,  4.9111756f,  4.9370657f,  4.9631137f,  4.9893165f,  5.0156773f,
     5.0421991f,  5.0688789f,  5.0957178f,  5.1227211f,  5.1498856f,  5.1772146f,  5.2047048f,
     5.2323618f,  5.2601799f,  5.2881692f,  5.3163240f,  5.3446501f,  5.3731417f,  5.4018023f,
     5.4306329f,  5.4596391f,  5.4888155f,  5.5181629f,  5.5476871f,  5.5773871f,  5.6072592f,
     5.6373093f,  5.6675384f,  5.6979479f,  5.7285292f,  5.7592954f,  5.7902455f,  5.8213731f,
     5.8526794f,  5.8841780f,  5.9158551f,  5.9477167f,  5.9797667f,  6.0120061f,  6.0444260f,
     6.0770403f,  6.1098451f,  6.1428337f,  6.1760203f,  6.2093957f,  6.2429635f,  6.2767278f,
     6.3106842f,  6.3448395f,  6.3791865f,  6.4137347f,  6.4484769f,  6.4834228f,  6.5185651f,
     6.5539078f,  6.5894549f,  6.6252019f,  6.6611500f,  6.6973061f,  6.7336656f,  6.7702298f,
     6.8070027f,  6.8439825f,  6.8811705f,  6.9185649f,  6.9561728f,  6.9939924f,  7.0320188f,
     7.0702593f,  7.1087183f,  7.1473844f,  7.1862682f,  7.2253645f,  7.2646842f,  7.3042188f,
     7.3439695f,  7.3839406f,  7.4241301f,  7.4645359f,  7.5051690f,  7.5460241f,  7.5870988f,
     7.6284012f,  7.6699290f,  7.7116730f,  7.7536517f,  7.7958559f,  7.8382831f,  7.8809416f,
     7.9238325f,  7.9669463f,  8.0102949f,  8.0538758f,  8.0976866f,  8.1417319f,  8.1860057f,
     8.2305200f,  8.2752649f,  8.3202490f,  8.3654583f,  8.4109166f,  8.4566098f,  8.5025352f,
     8.5487092f,  8.5951137f,  8.6417652f,  8.6886531f,  8.7357823f,  8.7831540f,  8.8307772f,
     8.8786329f,  8.9267342f,  8.9750821f,  9.0236695f,  9.0725098f,  9.1215915f,  9.1709241f,
     9.2205043f,  9.2703289f,  9.3204032f,  9.3707194f,  9.4213003f,  9.4721162f,  9.5231902f,
     9.5745142f,  9.6260849f,  9.6779120f,  9.7299966f,  9.7823213f,  9.8349054f,  9.8877405f,
     9.9408274f,  9.9941718f,  10.0477745f, 10.1016318f, 10.1557396f, 10.2100988f, 10.2647246f,
     10.3195935f, 10.3747260f, 10.4301178f, 10.4857600f, 10.5416631f, 10.5978230f, 10.6542505f,
     10.7109210f, 10.7678555f, 10.8250445f, 10.8824990f, 10.9402094f, 10.9981709f, 11.0563947f,
     11.1148816f, 11.1736268f, 11.2326201f, 11.2918837f, 11.3514074f, 11.4111808f, 11.4712153f,
     11.5315115f, 11.5920644f, 11.6528744f, 11.7139534f, 11.7752847f, 11.8368689f, 11.8987119f,
     11.9608200f, 12.0231762f, 12.0857984f, 12.1486692f, 12.2118069f, 12.2751937f, 12.3388420f,
     12.4027461f, 12.4669000f, 12.5313102f, 12.5959830f, 12.6609063f, 12.7260802f, 12.7915111f,
     12.8571993f, 12.9231320f, 12.9893157f, 13.0557570f, 13.1224494f, 13.1893931f, 13.2565814f,
     13.3240341f, 13.3917248f, 13.4596532f, 13.5278325f, 13.5962628f, 13.6649441f, 13.7338692f,
     13.8030312f, 13.8724297f, 13.9420854f, 14.0119771f, 14.0821117f, 14.1524816f, 14.2230937f,
     14.2939332f, 14.3650141f, 14.4363288f, 14.5078916f, 14.5796727f, 14.6516861f, 14.7239313f,
     14.7964080f, 14.8691231f, 14.9420457f, 15.0152055f, 15.0885867f, 15.1621885f, 15.2360101f,
     15.3100588f, 15.3843179f, 15.4588026f, 15.5335041f, 15.6084055f, 15.6835299f, 15.7588686f,
     15.8344041f, 15.9101519f, 15.9861194f, 16.0622806f, 16.1386344f, 16.2151879f, 16.2919485f,
     16.3689066f, 16.4460698f, 16.5234023f, 16.6009460f, 16.6786562f, 16.7565752f, 16.8346667f,
     16.9129380f, 16.9914055f, 17.0700410f, 17.1488340f, 17.2278278f, 17.3069851f, 17.3862949f,
     17.4658014f, 17.5454478f, 17.6252600f, 17.7052459f, 17.7853754f, 17.8656563f, 17.9460865f,
     18.0266834f, 18.1074165f, 18.1883031f, 18.2693218f, 18.3504707f, 18.4317671f, 18.5131796f,
     18.5947356f, 18.6764233f, 18.7582205f, 18.8401449f, 18.9221944f, 19.0043363f, 19.0866295f,
     19.1690000f, 19.2514761f, 19.3340658f, 19.4167564f, 19.4995349f, 19.5824093f, 19.6653770f,
     19.7484142f, 19.8315610f, 19.9147612f, 19.9980443f, 20.0814076f, 20.1648376f, 20.2483094f,
     20.3318752f, 20.4154881f, 20.4991452f, 20.5828658f, 20.6666245f, 20.7504297f, 20.8342669f,
     20.9181444f, 21.0020592f, 21.0859852f, 21.1699423f, 21.2539389f, 21.3379135f, 21.4219331f,
     21.5059356f, 21.5899531f, 21.6739584f, 21.7579842f, 21.8419668f, 21.9259632f, 22.0099336f,
     22.0938744f, 22.1777943f, 22.2616774f, 22.3455324f, 22.4293434f, 22.5131067f, 22.5968310f,
     22.6804875f, 22.7641104f, 22.8476579f, 22.9311389f, 23.0145367f, 23.0978602f, 23.1811185f,
     23.2642687f, 23.3473460f, 23.4303203f, 23.5132007f, 23.5959699f, 23.6786505f, 23.7611719f,
     23.8436233f, 23.9259204f, 24.0080992f, 24.0901422f, 24.1720314f, 24.2537899f, 24.3354135f,
     24.4168569f, 24.4981569f, 24.5792817f, 24.6602547f, 24.7410297f, 24.8216302f, 24.9020661f,
     24.9822906f, 25.0623275f, 25.1421583f, 25.2217927f, 25.3012119f, 25.3804259f, 25.4593869f,
     25.5381481f, 25.6166761f, 25.6949517f, 25.7729996f, 25.8508154f, 25.9283354f, 26.0056437f,
     26.0826469f, 26.1594146f, 26.2358825f, 26.3120909f, 26.3880052f, 26.4636206f, 26.5389476f,
     26.6139816f, 26.6887027f, 26.7631062f, 26.8371874f, 26.9109569f, 26.9843948f, 27.0574963f,
     27.1302879f, 27.2026868f, 27.2747665f, 27.3464754f, 27.4178401f, 27.4888245f, 27.5594715f,
     27.6297128f, 27.6995755f, 27.7690229f, 27.8381145f, 27.9067974f, 27.9750833f, 28.0429673f,
     28.1104124f, 28.1774792f, 28.2440813f, 28.3102796f, 28.3760368f, 28.4413481f, 28.5062090f,
     28.5706481f, 28.6345944f, 28.6980933f, 28.7611235f, 28.8237142f, 28.8858106f, 28.9474080f,
     29.0085527f, 29.0691727f, 29.1293142f, 29.1889560f, 29.2480938f, 29.3067060f, 29.3648054f,
     29.4223878f, 29.4794661f, 29.5359844f, 29.5920077f, 29.6474449f, 29.7023615f, 29.7567359f,
     29.8105641f, 29.8638069f, 29.9164953f, 29.9686254f, 30.0201755f, 30.0711417f, 30.1215377f,
     30.1713775f, 30.2205861f, 30.2692130f, 30.3172546f, 30.3646712f, 30.4115130f, 30.4577225f,
     30.5033320f, 30.5483379f, 30.5926826f, 30.6364348f, 30.6795367f, 30.7220212f, 30.7638486f,
     30.8050337f, 30.8456097f, 30.8855004f, 30.9247574f, 30.9633591f, 31.0012843f, 31.0385480f,
     31.0751658f, 31.1111163f, 31.1463781f, 31.1809853f, 31.2148796f, 31.2481323f, 31.2806850f,
     31.3125165f, 31.3436799f, 31.3741727f, 31.4039739f, 31.4330435f, 31.4614166f, 31.4890721f,
     31.5160638f, 31.5423147f, 31.5678599f, 31.5927163f, 31.6168253f, 31.6402038f, 31.6628873f,
     31.6848553f, 31.7060870f, 31.7265996f, 31.7463723f, 31.7653847f, 31.7836919f, 31.8012923f,
     31.8181277f, 31.8342535f, 31.8496115f, 31.8642193f, 31.8780947f, 31.8912365f, 31.9036246f,
     31.9152959f, 31.9261735f, 31.9363706f, 31.9457530f, 31.9544152f, 31.9623374f, 31.9694808f,
     31.9758830f, 31.9815433f, 31.9864422f, 31.9905984f, 31.9939925f, 31.9966051f, 31.9984932f,
     31.9996567f, 32.0000000f},
    {1.0000000f,  1.0000072f,  1.0000290f,  1.0000644f,  1.0001134f,  1.0001770f,  1.0002550f,
     1.0003470f,  1.0004532f,  1.0005731f,  1.0007077f,  1.0008566f,  1.0010195f,  1.0011960f,
     1.0013876f,  1.0015926f,  1.0018126f,  1.0020466f,  1.0022944f,  1.0025569f,  1.0028332f,
     1.0031238f,  1.0034293f,  1.0037486f,  1.0040824f,  1.0044303f,  1.0047923f,  1.0051689f,
     1.0055601f,  1.0059655f,  1.0063855f,  1.0068194f,  1.0072680f,  1.0077308f,  1.0082087f,
     1.0087006f,  1.0092069f,  1.0097279f,  1.0102634f,  1.0108130f,  1.0113777f,  1.0119574f,
     1.0125512f,  1.0131596f,  1.0137825f,  1.0144205f,  1.0150735f,  1.0157405f,  1.0164225f,
     1.0171194f,  1.0178317f,  1.0185581f,  1.0192998f,  1.0200560f,  1.0208276f,  1.0216141f,
     1.0224152f,  1.0232322f,  1.0240631f,  1.0249099f,  1.0257720f,  1.0266488f,  1.0275413f,
     1.0284484f,  1.0293712f,  1.0303095f,  1.0312631f,  1.0322320f,  1.0332163f,  1.0342159f,
     1.0352312f,  1.0362621f,  1.0373092f,  1.0383713f,  1.0394489f,  1.0405425f,  1.0416516f,
     1.0427768f,  1.0439180f,  1.0450750f,  1.0462482f,  1.0474377f,  1.0486423f,  1.0498641f,
     1.0511012f,  1.0523548f,  1.0536249f,  1.0549110f,  1.0562133f,  1.0575325f,  1.0588680f,
     1.0602197f,  1.0615884f,  1.0629741f,  1.0643758f,  1.0657946f,  1.0672303f,  1.0686830f,
     1.0701519f,  1.0716382f,  1.0731422f,  1.0746626f,  1.0761999f,  1.0777550f,  1.0793280f,
     1.0809173f,  1.0825251f,  1.0841494f,  1.0857920f,  1.0874520f,  1.0891292f,  1.0908253f,
     1.0925379f,  1.0942691f,  1.0960183f,  1.0977863f,  1.0995712f,  1.1013755f,  1.1031969f,
     1.1050379f,  1.1068962f,  1.1087738f,  1.1106701f,  1.1125844f,  1.1145183f,  1.1164704f,
     1.1184416f,  1.1204320f,  1.1224412f,  1.1244702f,  1.1265178f,  1.1285851f,  1.1306716f,
     1.1327775f,  1.1349042f,  1.1370492f,  1.1392153f,  1.1413998f,  1.1436056f,  1.1458311f,
     1.1480763f,  1.1503422f,  1.1526281f,  1.1549346f,  1.1572621f,  1.1596095f,  1.1619787f,
     1.1643676f,  1.1667781f,  1.1692099f,  1.1716631f,  1.1741370f,  1.1766321f,  1.1791494f,
     1.1816877f,  1.1842482f,  1.1868299f,  1.1894344f,  1.1920601f,  1.1947084f,  1.1973790f,
     1.2000721f,  1.2027873f,  1.2055256f,  1.2082860f,  1.2110699f,  1.2138764f,  1.2167068f,
     1.2195593f,  1.2224359f,  1.2253357f,  1.2282596f,  1.2312066f,  1.2341774f,  1.2371726f,
     1.2401920f,  1.2432361f,  1.2463032f,  1.2493959f,  1.2525133f,  1.2556552f,  1.2588222f,
     1.2620140f,  1.2652312f,  1.2684736f,  1.2717418f,  1.2750355f,  1.2783549f,  1.2817006f,
     1.2850723f,  1.2884702f,  1.2918936f,  1.2953455f,  1.2988222f,  1.3023269f,  1.3058587f,
     1.3094168f,  1.3130030f,  1.3166164f,  1.3202568f,  1.3239258f,  1.3276226f,  1.3313484f,
     1.3351015f,  1.3388835f,  1.3426942f,  1.3465331f,  1.3504017f,  1.3542990f,  1.3582264f,
     1.3621824f,  1.3661693f,  1.3701849f,  1.3742313f,  1.3783078f,  1.3824146f,  1.3865519f,
     1.3907210f,  1.3949200f,  1.3991503f,  1.4034130f,  1.4077063f,  1.4120321f,  1.4163895f,
     1.4207788f,  1.4252012f,  1.4296560f,  1.4341429f,  1.4386631f,  1.4432170f,  1.4478042f,
     1.4524250f,  1.4570802f,  1.4617690f,  1.4664916f,  1.4712494f,  1.4760416f,  1.4808695f,
     1.4857318f,  1.4906292f,  1.4955632f,  1.5005323f,  1.5055380f,  1.5105800f,  1.5156579f,
     1.5207733f,  1.5259264f,  1.5311157f,  1.5363428f,  1.5416078f,  1.5469106f,  1.5522520f,
     1.5576317f,  1.5630513f,  1.5685086f,  1.5740063f,  1.5795418f,  1.5851184f,  1.5907352f,
     1.5963924f,  1.6020906f,  1.6078286f,  1.6136088f,  1.6194295f,  1.6252924f,  1.6311978f,
     1.6371454f,  1.6431349f,  1.6491679f,  1.6552436f,  1.6613628f,  1.6675260f,  1.6737335f,
     1.6799843f,  1.6862815f,  1.6926220f,  1.6990090f,  1.7054401f,  1.7119184f,  1.7184429f,
     1.7250141f,  1.7316315f,  1.7382955f,  1.7450074f,  1.7517673f,  1.7585765f,  1.7654326f,
     1.7723386f,  1.7792931f,  1.7862970f,  1.7933514f,  1.8004554f,  1.8076101f,  1.8148152f,
     1.8220719f,  1.8293804f,  1.8367414f,  1.8441545f,  1.8516194f,  1.8591388f,  1.8667101f,
     1.8743360f,  1.8820155f,  1.8897505f,  1.8975399f,  1.9053836f,  1.9132849f,  1.9212421f,
     1.9292541f,  1.9373245f,  1.9454513f,  1.9536375f,  1.9618804f,  1.9701820f,  1.9785429f,
     1.9869628f,  1.9954429f,  2.0039837f,  2.0125834f,  2.0212457f,  2.0299695f,  2.0387562f,
     2.0476037f,  2.0565143f,  2.0654886f,  2.0745261f,  2.0836275f,  2.0927950f,  2.1020266f,
     2.1113237f,  2.1206869f,  2.1301175f,  2.1396154f,  2.1491793f,  2.1588124f,  2.1685136f,
     2.1782843f,  2.1881233f,  2.1980330f,  2.2080150f,  2.2180662f,  2.2281872f,  2.2383823f,
     2.2486512f,  2.2589908f,  2.2694045f,  2.2798939f,  2.2904559f,  2.3010940f,  2.3118088f,
     2.3225990f,  2.3334662f,  2.3444113f,  2.3554337f,  2.3665342f,  2.3777145f,  2.3889762f,
     2.4003171f,  2.4117368f,  2.4232410f,  2.4348265f,  2.4464929f,  2.4582450f,  2.4700794f,
     2.4819990f,  2.4940023f,  2.5060933f,  2.5182705f,  2.5305348f,  2.5428869f,  2.5553244f,
     2.5678533f,  2.5804723f,  2.5931800f,  2.6059805f,  2.6188724f,  2.6318542f,  2.6449311f,
     2.6581018f,  2.6713638f,  2.6847245f,  2.6981791f,  2.7117309f,  2.7253793f,  2.7391242f,
     2.7529699f,  2.7669137f,  2.7809588f,  2.7951026f,  2.8093483f,  2.8236980f,  2.8381502f,
     2.8527058f,  2.8673644f,  2.8821294f,  2.8970005f,  2.9119774f,  2.9270647f,  2.9422584f,
     2.9575607f,  2.9729738f,  2.9884986f,  3.0041335f,  3.0198835f,  3.0357455f,  3.0517193f,
     3.0678098f,  3.0840166f,  3.1003395f,  3.1167807f,  3.1333400f,  3.1500185f,  3.1668170f,
     3.1837354f,  3.2007788f,  3.2179412f,  3.2352295f,  3.2526417f,  3.2701805f,  3.2878441f,
     3.3056364f,  3.3235586f,  3.3416073f,  3.3597867f,  3.3780994f,  3.3965420f,  3.4151186f,
     3.4338275f,  3.4526758f,  3.4716571f,  3.4907742f,  3.5100342f,  3.5294277f,  3.5489652f,
     3.5686431f,  3.5884627f,  3.6084253f,  3.6285336f,  3.6487874f,  3.6691846f,  3.6897329f,
     3.7104272f,  3.7312720f,  3.7522686f,  3.7734150f,  3.7947175f,  3.8161706f,  3.8377809f,
     3.8595461f,  3.8814712f,  3.9035522f,  3.9257940f,  3.9481980f,  3.9707656f,  3.9934911f,
     4.0163865f,  4.0394443f,  4.0626696f,  4.0860637f,  4.1096263f,  4.1333626f,  4.1572665f,
     4.1813452f,  4.2055981f,  4.2300269f,  4.2546291f,  4.2794141f,  4.3043794f,  4.3295207f,
     4.3548475f,  4.3803553f,  4.4060497f,  4.4319282f,  4.4579965f,  4.4842521f,  4.5106965f,
     4.5373315f,  4.5641606f,  4.5911855f,  4.6184059f,  4.6458211f,  4.6734351f,  4.7012516f,
     4.7292659f,  4.7574839f,  4.7859052f,  4.8145338f,  4.8433691f,  4.8724106f,  4.9016623f,
     4.9311261f,  4.9608059f,  4.9906967f,  5.0208025f,  5.0511275f,  5.0816736f,  5.1124353f,
     5.1434219f,  5.1746301f,  5.2060669f,  5.2377292f,  5.2696188f,  5.3017402f,  5.3340903f,
     5.3666734f,  5.3994941f,  5.4325518f,  5.4658433f,  5.4993782f,  5.5331508f,  5.5671682f,
     5.6014353f,  5.6359433f,  5.6707022f,  5.7057089f,  5.7409678f,  5.7764813f,  5.8122457f,
     5.8482688f,  5.8845525f,  5.9210964f,  5.9578995f,  5.9949698f,  6.0323037f,  6.0699032f,
     6.1077793f,  6.1459196f,  6.1843321f,  6.2230219f,  6.2619883f,  6.3012367f,  6.3407599f,
     6.3805665f,  6.4206618f,  6.4610388f,  6.5017028f,  6.5426560f,  6.5839041f,  6.6254429f,
     6.6672812f,  6.7094117f,  6.7518464f,  6.7945811f,  6.8376217f,  6.8809637f,  6.9246129f,
     6.9685751f,  7.0128460f,  7.0574278f,  7.1023301f,  7.1475483f,  7.1930884f,  7.2389458f,
     7.2851302f,  7.3316331f,  7.3784716f,  7.4256373f,  7.4731402f,  7.5209717f,  7.5691379f,
     7.6176415f,  7.6664927f,  7.7156826f,  7.7652138f,  7.8150967f,  7.8653300f,  7.9159084f,
     7.9668425f,  8.0181351f,  8.0697888f,  8.1217900f,  8.1741618f,  8.2269029f,  8.2800036f,
     8.3334663f,  8.3873152f,  8.4415273f,  8.4961140f,  8.5510823f,  8.6064351f,  8.6621575f,
     8.7182745f,  8.7747801f,  8.8316634f,  8.8889499f,  8.9466243f,  9.0046940f,  9.0631664f,
     9.1220351f,  9.1813124f,  9.2409869f,  9.3010759f,  9.3615677f,  9.4224798f,  9.4838005f,
     9.5455376f,  9.6076990f,  9.6702776f,  9.7332764f,  9.7967083f,  9.8605663f,  9.9248532f,
     9.9895771f,  10.0547359f, 10.1203326f, 10.1863647f, 10.2528459f, 10.3197740f, 10.3871411f,
     10.4549609f, 10.5232422f, 10.5919658f, 10.6611513f, 10.7307905f, 10.8009036f, 10.8714764f,
     10.9425121f, 11.0140193f, 11.0859953f, 11.1584372f, 11.2313658f, 11.3047724f, 11.3786539f,
     11.4530255f, 11.5278843f, 11.6032147f, 11.6790508f, 11.7553770f, 11.8321900f, 11.9095055f,
     11.9873268f, 12.0656374f, 12.1444599f, 12.2237910f, 12.3036270f, 12.3839776f, 12.4648326f,
     12.5462151f, 12.6281080f, 12.7105280f, 12.7934503f, 12.8769198f, 12.9609117f, 13.0454217f,
     13.1304816f, 13.2160584f, 13.3021841f, 13.3888399f, 13.4760360f, 13.5637755f, 13.6520766f,
     13.7409045f, 13.8302848f, 13.9202206f, 14.0106994f, 14.1017475f, 14.1933445f, 14.2855089f,
     14.3782361f, 14.4715208f, 14.5653740f, 14.6597822f, 14.7547894f, 14.8503409f, 14.9464808f,
     15.0431955f, 15.1404793f, 15.2383520f, 15.3368167f, 15.4358415f, 15.5354638f, 15.6356691f,
     15.7364600f, 15.8378481f, 15.9398363f, 16.0424185f, 16.1455881f, 16.2493477f, 16.3537276f,
     16.4586841f, 16.5642570f, 16.6704398f, 16.7772160f, 16.8846071f, 16.9926062f, 17.1012354f,
     17.2104482f, 17.3202862f, 17.4307321f, 17.5418085f, 17.6534975f, 17.7657913f, 17.8787126f,
     17.9922637f, 18.1064368f, 18.2212130f, 18.3366365f, 18.4526886f, 18.5693500f, 18.6866442f,
     18.8045733f, 18.9231286f, 19.0423120f, 19.1621479f, 19.2826048f, 19.4036845f, 19.5253999f,
     19.6477647f, 19.7707460f, 19.8943803f, 20.0186345f, 20.1435454f, 20.2690794f, 20.3952618f,
     20.5220822f, 20.6495301f, 20.7776189f, 20.9063627f, 21.0357381f, 21.1657464f, 21.2964014f,
     21.4277046f, 21.5596317f, 21.6921964f, 21.8254130f, 21.9592696f, 22.0937673f, 22.2288937f,
     22.3646900f, 22.5011036f, 22.6381349f, 22.7758116f, 22.9141347f, 23.0531051f, 23.1927096f,
     23.3329346f, 23.4737804f, 23.6152901f, 23.7574215f, 23.9001893f, 24.0435792f, 24.1876059f,
     24.3322403f, 24.4775118f, 24.6234056f, 24.7699519f, 24.9170904f, 25.0648509f, 25.2132332f,
     25.3622371f, 25.5118780f, 25.6620929f, 25.8129439f, 25.9643990f, 26.1164575f, 26.2691187f,
     26.4223980f, 26.5762619f, 26.7307425f, 26.8858223f, 27.0414669f, 27.1977251f, 27.3545793f,
     27.5119941f, 27.6700021f, 27.8286194f, 27.9877928f, 28.1475201f, 28.3078172f, 28.4686999f,
     28.6301489f, 28.7921804f, 28.9547202f, 29.1178566f, 29.2814965f, 29.4457291f, 29.6104787f,
     29.7757609f, 29.9416111f, 30.1079702f, 30.2748161f, 30.4422416f, 30.6101674f, 30.7785708f,
     30.9475462f, 31.1169733f, 31.2869076f, 31.4573659f, 31.6282851f, 31.7996814f, 31.9715513f,
     32.1439318f, 32.3167583f, 32.4900679f, 32.6638153f, 32.8379963f, 33.0126486f, 33.1877047f,
     33.3632239f, 33.5391808f, 33.7155279f, 33.8923035f, 34.0695032f, 34.2470564f, 34.4250905f,
     34.6034458f, 34.7821834f, 34.9613207f, 35.1408302f, 35.3206838f, 35.5008987f, 35.6814695f,
     35.8623441f, 36.0436099f, 36.2251443f, 36.4070115f, 36.5892056f, 36.7716970f, 36.9544311f,
     37.1375219f, 37.3208668f, 37.5044587f, 37.6883401f, 37.8724551f, 38.0568215f, 38.2414074f,
     38.4262309f, 38.6112850f, 38.7965116f, 38.9819543f, 39.1676317f, 39.3534073f, 39.5394287f,
     39.7255583f, 39.9118665f, 40.0982929f, 40.2849090f, 40.4715737f, 40.6584124f, 40.8453365f,
     41.0323374f, 41.2194337f, 41.4065896f, 41.5938239f, 41.7811003f, 41.9684099f, 42.1557718f,
     42.3431207f, 42.5305324f, 42.7179129f, 42.9052810f, 43.0925986f, 43.2798850f, 43.4671598f,
     43.6543260f, 43.8414616f, 44.0284981f, 44.2154552f, 44.4022932f, 44.5890621f, 44.7756015f,
     44.9621120f, 45.1484021f, 45.3345525f, 45.5205222f, 45.7062699f, 45.8918466f, 46.0772420f,
     46.2623521f, 46.4472595f, 46.6318907f, 46.8162979f, 47.0003751f, 47.1841745f, 47.3677174f,
     47.5508962f, 47.7337640f, 47.9162771f, 48.0984567f, 48.2802587f, 48.4617048f, 48.6426838f,
     48.8233169f, 49.0035262f, 49.1832662f, 49.3625924f, 49.5414935f, 49.7198217f, 49.8977693f,
     50.0751194f, 50.2520316f, 50.4283562f, 50.6041848f, 50.7794360f, 50.9540974f, 51.1281920f,
     51.3017078f, 51.4745972f, 51.6468480f, 51.8184476f, 51.9894197f, 52.1597161f, 52.3293245f,
     52.4983051f, 52.6664640f, 52.8339706f, 53.0007030f, 53.1667223f, 53.3319425f, 53.4964621f,
     53.6601206f, 53.8229797f, 53.9849518f, 54.1461746f, 54.3065233f, 54.4660230f, 54.6246616f,
     54.7823504f, 54.9392297f, 55.0950960f, 55.2500901f, 55.4041231f, 55.5571825f, 55.7092558f,
     55.8604089f, 56.0104734f, 56.1595541f, 56.3075999f, 56.4546776f, 56.6006568f, 56.7455251f,
     56.8893897f, 57.0320793f, 57.1737017f, 57.3142052f, 57.4535779f, 57.5917676f, 57.7288030f,
     57.8646723f, 57.9994048f, 58.1328668f, 58.2652101f, 58.3962185f, 58.5260447f, 58.6546366f,
     58.7819829f, 58.9079897f, 59.0327287f, 59.1561890f, 59.2783181f, 59.3991049f, 59.5185807f,
     59.6367772f, 59.7535152f, 59.8689106f, 59.9829533f, 60.0955481f, 60.2068123f, 60.3166081f,
     60.4250110f, 60.5320111f, 60.6374700f, 60.7415498f, 60.8441119f, 60.9452330f, 61.0448174f,
     61.1428990f, 61.2395557f, 61.3346047f, 61.4281677f, 61.5201923f, 61.6106262f, 61.6995045f,
     61.7868630f, 61.8726495f, 61.9568119f, 62.0394304f, 62.1203648f, 62.1997840f, 62.2775481f,
     62.3536049f, 62.4280803f, 62.5009674f, 62.5722149f, 62.6417268f, 62.7095853f, 62.7757393f,
     62.8403168f, 62.9031323f, 62.9642695f, 63.0237675f, 63.0814855f, 63.1374629f, 63.1917844f,
     63.2443996f, 63.2952584f, 63.3444009f, 63.3917771f, 63.4373370f, 63.4812121f, 63.5233981f,
     63.5637549f, 63.6024147f, 63.6392374f, 63.6742647f, 63.7075388f, 63.7390563f, 63.7687686f,
     63.7967641f, 63.8228574f, 63.8473198f, 63.8698294f, 63.8906121f, 63.9096204f, 63.9267610f,
     63.9421234f, 63.9557064f, 63.9674627f, 63.9774369f, 63.9855823f, 63.9918524f, 63.9963838f,
     63.9991760f, 64.0000000f},
    {1.0000000f, 0.9999988f, 0.9999952f, 0.9999893f, 0.9999811f, 0.9999705f, 0.9999575f,
     0.9999422f, 0.9999245f, 0.9999045f, 0.9998821f, 0.9998573f, 0.9998302f, 0.9998008f,
     0.9997689f, 0.9997348f, 0.9996982f, 0.9996593f, 0.9996181f, 0.9995745f, 0.9995286f,
     0.9994803f, 0.9994296f, 0.9993766f, 0.9993212f, 0.9992635f, 0.9992035f, 0.9991411f,
     0.9990763f, 0.9990092f, 0.9989397f, 0.9988679f, 0.9987938f, 0.9987173f, 0.9986384f,
     0.9985572f, 0.9984737f, 0.9983878f, 0.9982996f, 0.9982091f, 0.9981162f, 0.9980209f,
     0.9979233f, 0.9978234f, 0.9977212f, 0.9976166f, 0.9975096f, 0.9974004f, 0.9972888f,
     0.9971749f, 0.9970586f, 0.9969400f, 0.9968191f, 0.9966959f, 0.9965703f, 0.9964424f,
     0.9963122f, 0.9961796f, 0.9960448f, 0.9959076f, 0.9957681f, 0.9956263f, 0.9954821f,
     0.9953357f, 0.9951869f, 0.9950358f, 0.9948824f, 0.9947267f, 0.9945687f, 0.9944084f,
     0.9942458f, 0.9940809f, 0.9939136f, 0.9937441f, 0.9935723f, 0.9933982f, 0.9932218f,
     0.9930431f, 0.9928621f, 0.9926788f, 0.9924932f, 0.9923053f, 0.9921152f, 0.9919227f,
     0.9917280f, 0.9915310f, 0.9913317f, 0.9911302f, 0.9909264f, 0.9907203f, 0.9905119f,
     0.9903013f, 0.9900884f, 0.9898732f, 0.9896558f, 0.9894361f, 0.9892141f, 0.9889899f,
     0.9887635f, 0.9885348f, 0.9883038f, 0.9880706f, 0.9878352f, 0.9875975f, 0.9873575f,
     0.9871154f, 0.9868709f, 0.9866243f, 0.9863754f, 0.9861243f, 0.9858710f, 0.9856154f,
     0.9853577f, 0.9850977f, 0.9848355f, 0.9845710f, 0.9843044f, 0.9840355f, 0.9837645f,
     0.9834912f, 0.9832158f, 0.9829381f, 0.9826582f, 0.9823762f, 0.9820919f, 0.9818055f,
     0.9815169f, 0.9812261f, 0.9809331f, 0.9806379f, 0.9803406f, 0.9800411f, 0.9797394f,
     0.9794356f, 0.9791295f, 0.9788214f, 0.9785110f, 0.9781986f, 0.9778839f, 0.9775671f,
     0.9772482f, 0.9769271f, 0.9766039f, 0.9762786f, 0.9759511f, 0.9756215f, 0.9752897f,
     0.9749559f, 0.9746199f, 0.9742818f, 0.9739415f, 0.9735992f, 0.9732548f, 0.9729082f,
     0.9725596f, 0.9722088f, 0.9718560f, 0.9715010f, 0.9711440f, 0.9707849f, 0.9704237f,
     0.9700604f, 0.9696951f, 0.9693276f, 0.9689582f, 0.9685866f, 0.9682130f, 0.9678373f,
     0.9674596f, 0.9670798f, 0.9666980f, 0.9663141f, 0.9659282f, 0.9655403f, 0.9651503f,
     0.9647583f, 0.9643642f, 0.9639682f, 0.9635701f, 0.9631700f, 0.9627679f, 0.9623638f,
     0.9619577f, 0.9615496f, 0.9611395f, 0.9607274f, 0.9603133f, 0.9598973f, 0.9594792f,
     0.9590592f, 0.9586372f, 0.9582133f, 0.9577873f, 0.9573595f, 0.9569296f, 0.9564978f,
     0.9560641f, 0.9556284f, 0.9551908f, 0.9547513f, 0.9543098f, 0.9538664f, 0.9534210f,
     0.9529738f, 0.9525246f, 0.9520735f, 0.9516206f, 0.9511657f, 0.9507089f, 0.9502502f,
     0.9497897f, 0.9493272f, 0.9488629f, 0.9483967f, 0.9479286f, 0.9474587f, 0.9469869f,
     0.9465132f, 0.9460377f, 0.9455604f, 0.9450811f, 0.9446001f, 0.9441172f, 0.9436325f,
     0.9431460f, 0.9426576f, 0.9421674f, 0.9416755f, 0.9411817f, 0.9406861f, 0.9401887f,
     0.9396895f, 0.9391885f, 0.9386857f, 0.9381812f, 0.9376749f, 0.9371668f, 0.9366569f,
     0.9361453f, 0.9356320f, 0.9351168f, 0.9346000f, 0.9340814f, 0.9335610f, 0.9330390f,
     0.9325152f, 0.9319896f, 0.9314624f, 0.9309335f, 0.9304028f, 0.9298705f, 0.9293364f,
     0.9288007f, 0.9282632f, 0.9277241f, 0.9271833f, 0.9266409f, 0.9260968f, 0.9255510f,
     0.9250035f, 0.9244544f, 0.9239037f, 0.9233513f, 0.9227973f, 0.9222417f, 0.9216844f,
     0.9211255f, 0.9205650f, 0.9200029f, 0.9194392f, 0.9188739f, 0.9183070f, 0.9177385f,
     0.9171685f, 0.9165968f, 0.9160236f, 0.9154488f, 0.9148725f, 0.9142946f, 0.9137151f,
     0.9131341f, 0.9125516f, 0.9119676f, 0.9113820f, 0.9107949f, 0.9102062f, 0.9096161f,
     0.9090244f, 0.9084313f, 0.9078367f, 0.9072405f, 0.9066429f, 0.9060438f, 0.9054433f,
     0.9048413f, 0.9042378f, 0.9036328f, 0.9030264f, 0.9024186f, 0.9018093f, 0.9011986f,
     0.9005865f, 0.8999730f, 0.8993580f, 0.8987416f, 0.8981239f, 0.8975047f, 0.8968841f,
     0.8962622f, 0.8956389f, 0.8950142f, 0.8943881f, 0.8937607f, 0.8931319f, 0.8925018f,
     0.8918703f, 0.8912375f, 0.8906033f, 0.8899679f, 0.8893311f, 0.8886930f, 0.8880535f,
     0.8874128f, 0.8867708f, 0.8861275f, 0.8854829f, 0.8848371f, 0.8841899f, 0.8835415f,
     0.8828919f, 0.8822410f, 0.8815888f, 0.8809354f, 0.8802808f, 0.8796249f, 0.8789678f,
     0.8783095f, 0.8776500f, 0.8769893f, 0.8763273f, 0.8756642f, 0.8750000f, 0.8743345f,
     0.8736678f, 0.8730000f, 0.8723311f, 0.8716609f, 0.8709897f, 0.8703173f, 0.8696437f,
     0.8689690f, 0.8682932f, 0.8676163f, 0.8669383f, 0.8662592f, 0.8655790f, 0.8648976f,
     0.8642152f, 0.8635318f, 0.8628472f, 0.8621616f, 0.8614750f, 0.8607872f, 0.8600985f,
     0.8594087f, 0.8587179f, 0.8580260f, 0.8573331f, 0.8566392f, 0.8559443f, 0.8552485f,
     0.8545516f, 0.8538537f, 0.8531549f, 0.8524550f, 0.8517542f, 0.8510525f, 0.8503498f,
     0.8496461f, 0.8489416f, 0.8482360f, 0.8475296f, 0.8468222f, 0.8461139f, 0.8454048f,
     0.8446947f, 0.8439837f, 0.8432718f, 0.8425591f, 0.8418455f, 0.8411310f, 0.8404156f,
     0.8396994f, 0.8389824f, 0.8382645f, 0.8375458f, 0.8368263f, 0.8361059f, 0.8353847f,
     0.8346628f, 0.8339400f, 0.8332164f, 0.8324921f, 0.8317669f, 0.8310410f, 0.8303144f,
     0.8295870f, 0.8288588f, 0.8281299f, 0.8274002f, 0.8266698f, 0.8259387f, 0.8252069f,
     0.8244744f, 0.8237411f, 0.8230072f, 0.8222726f, 0.8215373f, 0.8208013f, 0.8200647f,
     0.8193274f, 0.8185894f, 0.8178508f, 0.8171116f, 0.8163717f, 0.8156312f, 0.8148901f,
     0.8141484f, 0.8134060f, 0.8126631f, 0.8119196f, 0.8111754f, 0.8104308f, 0.8096855f,
     0.8089397f, 0.8081933f, 0.8074464f, 0.8066989f, 0.8059509f, 0.8052024f, 0.8044533f,
     0.8037038f, 0.8029537f, 0.8022031f, 0.8014521f, 0.8007005f, 0.7999485f, 0.7991960f,
     0.7984431f, 0.7976896f, 0.7969358f, 0.7961815f, 0.7954267f, 0.7946715f, 0.7939160f,
     0.7931599f, 0.7924035f, 0.7916467f, 0.7908895f, 0.7901319f, 0.7893739f, 0.7886156f,
     0.7878569f, 0.7870978f, 0.7863384f, 0.7855787f, 0.7848186f, 0.7840581f, 0.7832974f,
     0.7825363f, 0.7817750f, 0.7810133f, 0.7802514f, 0.7794891f, 0.7787266f, 0.7779638f,
     0.7772008f, 0.7764375f, 0.7756739f, 0.7749101f, 0.7741461f, 0.7733818f, 0.7726173f,
     0.7718526f, 0.7710877f, 0.7703226f, 0.7695573f, 0.7687918f, 0.7680262f, 0.7672604f,
     0.7664944f, 0.7657282f, 0.7649619f, 0.7641955f, 0.7634289f, 0.7626622f, 0.7618954f,
     0.7611285f, 0.7603615f, 0.7595943f, 0.7588271f, 0.7580598f, 0.7572924f, 0.7565250f,
     0.7557575f, 0.7549899f, 0.7542223f, 0.7534547f, 0.7526870f, 0.7519193f, 0.7511516f,
     0.7503838f, 0.7496161f, 0.7488483f, 0.7480806f, 0.7473129f, 0.7465452f, 0.7457776f,
     0.7450100f, 0.7442424f, 0.7434749f, 0.7427075f, 0.7419401f, 0.7411728f, 0.7404056f,
     0.7396384f, 0.7388714f, 0.7381045f, 0.7373377f, 0.7365710f, 0.7358044f, 0.7350380f,
     0.7342717f, 0.7335055f, 0.7327395f, 0.7319737f, 0.7312081f, 0.7304426f, 0.7296773f,
     0.7289122f, 0.7281473f, 0.7273826f, 0.7266181f, 0.7258538f, 0.7250898f, 0.7243260f,
     0.7235624f, 0.7227991f, 0.7220361f, 0.7212733f, 0.7205108f, 0.7197485f, 0.7189866f,
     0.7182249f, 0.7174636f, 0.7167025f, 0.7159418f, 0.7151813f, 0.7144212f, 0.7136615f,
     0.7129021f, 0.7121430f, 0.7113843f, 0.7106260f, 0.7098680f, 0.7091104f, 0.7083532f,
     0.7075964f, 0.7068400f, 0.7060839f, 0.7053284f, 0.7045732f, 0.7038184f, 0.7030641f,
     0.7023103f, 0.7015568f, 0.7008039f, 0.7000514f, 0.6992994f, 0.6985478f, 0.6977968f,
     0.6970462f, 0.6962961f, 0.6955466f, 0.6947975f, 0.6940490f, 0.6933010f, 0.6925535f,
     0.6918066f, 0.6910602f, 0.6903144f, 0.6895691f, 0.6888245f, 0.6880803f, 0.6873368f,
     0.6865939f, 0.6858515f, 0.6851098f, 0.6843687f, 0.6836282f, 0.6828883f, 0.6821491f,
     0.6814105f, 0.6806725f, 0.6799352f, 0.6791986f, 0.6784626f, 0.6777273f, 0.6769927f,
     0.6762588f, 0.6755255f, 0.6747930f, 0.6740612f, 0.6733301f, 0.6725997f, 0.6718700f,
     0.6711411f, 0.6704129f, 0.6696855f, 0.6689589f, 0.6682330f, 0.6675078f, 0.6667835f,
     0.6660599f, 0.6653371f, 0.6646152f, 0.6638940f, 0.6631736f, 0.6624541f, 0.6617354f,
     0.6610175f, 0.6603005f, 0.6595843f, 0.6588689f, 0.6581544f, 0.6574408f, 0.6567281f,
     0.6560162f, 0.6553052f, 0.6545951f, 0.6538860f, 0.6531777f, 0.6524703f, 0.6517639f,
     0.6510583f, 0.6503538f, 0.6496501f, 0.6489474f, 0.6482457f, 0.6475449f, 0.6468450f,
     0.6461462f, 0.6454483f, 0.6447514f, 0.6440556f, 0.6433607f, 0.6426668f, 0.6419739f,
     0.6412820f, 0.6405912f, 0.6399014f, 0.6392127f, 0.6385249f, 0.6378383f, 0.6371527f,
     0.6364681f, 0.6357847f, 0.6351023f, 0.6344209f, 0.6337407f, 0.6330616f, 0.6323836f,
     0.6317067f, 0.6310309f, 0.6303562f, 0.6296826f, 0.6290102f, 0.6283390f, 0.6276688f,
     0.6269999f, 0.6263321f, 0.6256654f, 0.6250000f, 0.6243357f, 0.6236726f, 0.6230106f,
     0.6223499f, 0.6216904f, 0.6210321f, 0.6203750f, 0.6197191f, 0.6190645f, 0.6184111f,
     0.6177589f, 0.6171080f, 0.6164584f, 0.6158100f, 0.6151628f, 0.6145170f, 0.6138724f,
     0.6132291f, 0.6125871f, 0.6119464f, 0.6113069f, 0.6106688f, 0.6100320f, 0.6093966f,
     0.6087624f, 0.6081296f, 0.6074981f, 0.6068680f, 0.6062392f, 0.6056118f, 0.6049857f,
     0.6043610f, 0.6037377f, 0.6031158f, 0.6024952f, 0.6018760f, 0.6012583f, 0.6006419f,
     0.6000269f, 0.5994134f, 0.5988013f, 0.5981906f, 0.5975813f, 0.5969735f, 0.5963671f,
     0.5957621f, 0.5951586f, 0.5945566f, 0.5939561f, 0.5933570f, 0.5927594f, 0.5921632f,
     0.5915686f, 0.5909755f, 0.5903838f, 0.5897937f, 0.5892050f, 0.5886179f, 0.5880323f,
     0.5874483f, 0.5868658f, 0.5862848f, 0.5857053f, 0.5851274f, 0.5845511f, 0.5839763f,
     0.5834031f, 0.5828314f, 0.5822614f, 0.5816929f, 0.5811260f, 0.5805607f, 0.5799970f,
     0.5794349f, 0.5788744f, 0.5783155f, 0.5777582f, 0.5772026f, 0.5766486f, 0.5760962f,
     0.5755455f, 0.5749964f, 0.5744489f, 0.5739031f, 0.5733590f, 0.5728166f, 0.5722758f,
     0.5717367f, 0.5711992f, 0.5706635f, 0.5701294f, 0.5695971f, 0.5690664f, 0.5685375f,
     0.5680103f, 0.5674847f, 0.5669609f, 0.5664389f, 0.5659185f, 0.5653999f, 0.5648831f,
     0.5643679f, 0.5638546f, 0.5633430f, 0.5628331f, 0.5623250f, 0.5618187f, 0.5613142f,
     0.5608114f, 0.5603104f, 0.5598112f, 0.5593138f, 0.5588182f, 0.5583244f, 0.5578325f,
     0.5573423f, 0.5568539f, 0.5563674f, 0.5558827f, 0.5553998f, 0.5549188f, 0.5544395f,
     0.5539622f, 0.5534867f, 0.5530130f, 0.5525412f, 0.5520713f, 0.5516032f, 0.5511370f,
     0.5506727f, 0.5502102f, 0.5497497f, 0.5492910f, 0.5488342f, 0.5483793f, 0.5479264f,
     0.5474753f, 0.5470261f, 0.5465789f, 0.5461335f, 0.5456901f, 0.5452486f, 0.5448091f,
     0.5443715f, 0.5439358f, 0.5435021f, 0.5430703f, 0.5426404f, 0.5422126f, 0.5417866f,
     0.5413627f, 0.5409407f, 0.5405207f, 0.5401026f, 0.5396866f, 0.5392725f, 0.5388604f,
     0.5384503f, 0.5380422f, 0.5376361f, 0.5372320f, 0.5368299f, 0.5364298f, 0.5360317f,
     0.5356357f, 0.5352416f, 0.5348496f, 0.5344596f, 0.5340717f, 0.5336858f, 0.5333019f,
     0.5329201f, 0.5325403f, 0.5321626f, 0.5317869f, 0.5314133f, 0.5310417f, 0.5306723f,
     0.5303048f, 0.5299395f, 0.5295762f, 0.5292150f, 0.5288559f, 0.5284989f, 0.5281439f,
     0.5277911f, 0.5274403f, 0.5270917f, 0.5267451f, 0.5264007f, 0.5260584f, 0.5257181f,
     0.5253800f, 0.5250440f, 0.5247102f, 0.5243784f, 0.5240488f, 0.5237213f, 0.5233960f,
     0.5230728f, 0.5227517f, 0.5224328f, 0.5221160f, 0.5218013f, 0.5214889f, 0.5211785f,
     0.5208704f, 0.5205643f, 0.5202605f, 0.5199588f, 0.5196593f, 0.5193620f, 0.5190668f,
     0.5187738f, 0.5184830f, 0.5181944f, 0.5179080f, 0.5176237f, 0.5173417f, 0.5170618f,
     0.5167841f, 0.5165087f, 0.5162354f, 0.5159644f, 0.5156955f, 0.5154289f, 0.5151644f,
     0.5149022f, 0.5146422f, 0.5143845f, 0.5141289f, 0.5138756f, 0.5136245f, 0.5133756f,
     0.5131290f, 0.5128845f, 0.5126424f, 0.5124024f, 0.5121647f, 0.5119293f, 0.5116961f,
     0.5114651f, 0.5112364f, 0.5110100f, 0.5107858f, 0.5105638f, 0.5103441f, 0.5101267f,
     0.5099115f, 0.5096986f, 0.5094880f, 0.5092796f, 0.5090735f, 0.5088697f, 0.5086682f,
     0.5084689f, 0.5082719f, 0.5080772f, 0.5078847f, 0.5076946f, 0.5075067f, 0.5073211f,
     0.5071378f, 0.5069568f, 0.5067781f, 0.5066017f, 0.5064276f, 0.5062558f, 0.5060863f,
     0.5059190f, 0.5057541f, 0.5055915f, 0.5054312f, 0.5052732f, 0.5051175f, 0.5049641f,
     0.5048130f, 0.5046642f, 0.5045178f, 0.5043736f, 0.5042318f, 0.5040923f, 0.5039551f,
     0.5038203f, 0.5036877f, 0.5035575f, 0.5034296f, 0.5033040f, 0.5031808f, 0.5030599f,
     0.5029413f, 0.5028250f, 0.5027111f, 0.5025995f, 0.5024903f, 0.5023833f, 0.5022787f,
     0.5021765f, 0.5020766f, 0.5019790f, 0.5018837f, 0.5017908f, 0.5017003f, 0.5016121f,
     0.5015262f, 0.5014427f, 0.5013615f, 0.5012826f, 0.5012061f, 0.5011320f, 0.5010602f,
     0.5009907f, 0.5009236f, 0.5008588f, 0.5007964f, 0.5007364f, 0.5006787f, 0.5006233f,
     0.5005703f, 0.5005196f, 0.5004713f, 0.5004254f, 0.5003818f, 0.5003406f, 0.5003017f,
     0.5002651f, 0.5002310f, 0.5001991f, 0.5001697f, 0.5001426f, 0.5001178f, 0.5000954f,
     0.5000754f, 0.5000577f, 0.5000424f, 0.5000294f, 0.5000188f, 0.5000106f, 0.5000047f,
     0.5000011f, 0.5000000f},

};

const FLOAT32 ia_hoa_cos_table_fade_win_for_vec_based_syn[2][8][2048] = {
    {
        {1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0158730f, 0.0317460f, 0.0476190f, 0.0634921f, 0.0793651f, 0.0952381f,
         0.1111111f, 0.1269841f, 0.1428571f, 0.1587302f, 0.1746032f, 0.1904762f, 0.2063492f,
         0.2222222f, 0.2380952f, 0.2539683f, 0.2698413f, 0.2857143f, 0.3015873f, 0.3174603f,
         0.3333333f, 0.3492064f, 0.3650794f, 0.3809524f, 0.3968254f, 0.4126984f, 0.4285714f,
         0.4444444f, 0.4603175f, 0.4761905f, 0.4920635f, 0.5079365f, 0.5238096f, 0.5396826f,
         0.5555556f, 0.5714286f, 0.5873016f, 0.6031746f, 0.6190476f, 0.6349207f, 0.6507937f,
         0.6666667f, 0.6825397f, 0.6984127f, 0.7142857f, 0.7301587f, 0.7460318f, 0.7619048f,
         0.7777778f, 0.7936508f, 0.8095238f, 0.8253968f, 0.8412699f, 0.8571429f, 0.8730159f,
         0.8888889f, 0.9047619f, 0.9206349f, 0.9365079f, 0.9523810f, 0.9682540f, 0.9841270f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9841270f, 0.9682540f, 0.9523810f, 0.9365079f,
         0.9206349f, 0.9047619f, 0.8888889f, 0.8730159f, 0.8571429f, 0.8412699f, 0.8253968f,
         0.8095238f, 0.7936508f, 0.7777778f, 0.7619048f, 0.7460318f, 0.7301587f, 0.7142857f,
         0.6984127f, 0.6825397f, 0.6666666f, 0.6507937f, 0.6349206f, 0.6190476f, 0.6031746f,
         0.5873016f, 0.5714285f, 0.5555556f, 0.5396825f, 0.5238096f, 0.5079365f, 0.4920635f,
         0.4761904f, 0.4603174f, 0.4444444f, 0.4285714f, 0.4126984f, 0.3968254f, 0.3809524f,
         0.3650793f, 0.3492063f, 0.3333333f, 0.3174603f, 0.3015873f, 0.2857143f, 0.2698413f,
         0.2539682f, 0.2380952f, 0.2222222f, 0.2063492f, 0.1904762f, 0.1746032f, 0.1587301f,
         0.1428571f, 0.1269841f, 0.1111111f, 0.0952381f, 0.0793651f, 0.0634921f, 0.0476190f,
         0.0317460f, 0.0158730f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0078740f, 0.0157480f, 0.0236220f, 0.0314961f, 0.0393701f, 0.0472441f,
         0.0551181f, 0.0629921f, 0.0708661f, 0.0787402f, 0.0866142f, 0.0944882f, 0.1023622f,
         0.1102362f, 0.1181102f, 0.1259843f, 0.1338583f, 0.1417323f, 0.1496063f, 0.1574803f,
         0.1653543f, 0.1732284f, 0.1811024f, 0.1889764f, 0.1968504f, 0.2047244f, 0.2125984f,
         0.2204724f, 0.2283465f, 0.2362205f, 0.2440945f, 0.2519685f, 0.2598425f, 0.2677165f,
         0.2755905f, 0.2834646f, 0.2913386f, 0.2992126f, 0.3070866f, 0.3149606f, 0.3228346f,
         0.3307087f, 0.3385827f, 0.3464567f, 0.3543307f, 0.3622047f, 0.3700787f, 0.3779528f,
         0.3858268f, 0.3937008f, 0.4015748f, 0.4094488f, 0.4173228f, 0.4251969f, 0.4330709f,
         0.4409449f, 0.4488189f, 0.4566929f, 0.4645669f, 0.4724410f, 0.4803150f, 0.4881890f,
         0.4960630f, 0.5039370f, 0.5118110f, 0.5196850f, 0.5275590f, 0.5354331f, 0.5433071f,
         0.5511811f, 0.5590551f, 0.5669292f, 0.5748032f, 0.5826772f, 0.5905512f, 0.5984252f,
         0.6062992f, 0.6141732f, 0.6220472f, 0.6299213f, 0.6377953f, 0.6456693f, 0.6535433f,
         0.6614173f, 0.6692913f, 0.6771653f, 0.6850393f, 0.6929134f, 0.7007874f, 0.7086614f,
         0.7165354f, 0.7244095f, 0.7322835f, 0.7401575f, 0.7480315f, 0.7559055f, 0.7637795f,
         0.7716535f, 0.7795275f, 0.7874016f, 0.7952756f, 0.8031496f, 0.8110236f, 0.8188977f,
         0.8267717f, 0.8346457f, 0.8425197f, 0.8503937f, 0.8582677f, 0.8661417f, 0.8740157f,
         0.8818898f, 0.8897638f, 0.8976378f, 0.9055118f, 0.9133858f, 0.9212598f, 0.9291338f,
         0.9370078f, 0.9448819f, 0.9527559f, 0.9606299f, 0.9685040f, 0.9763780f, 0.9842520f,
         0.9921260f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9921260f, 0.9842520f, 0.9763780f, 0.9685040f,
         0.9606299f, 0.9527559f, 0.9448819f, 0.9370079f, 0.9291338f, 0.9212598f, 0.9133858f,
         0.9055118f, 0.8976378f, 0.8897638f, 0.8818898f, 0.8740157f, 0.8661417f, 0.8582677f,
         0.8503937f, 0.8425197f, 0.8346457f, 0.8267716f, 0.8188976f, 0.8110236f, 0.8031496f,
         0.7952756f, 0.7874016f, 0.7795275f, 0.7716535f, 0.7637795f, 0.7559055f, 0.7480315f,
         0.7401575f, 0.7322835f, 0.7244095f, 0.7165354f, 0.7086614f, 0.7007874f, 0.6929134f,
         0.6850394f, 0.6771654f, 0.6692914f, 0.6614174f, 0.6535433f, 0.6456693f, 0.6377953f,
         0.6299213f, 0.6220472f, 0.6141732f, 0.6062992f, 0.5984252f, 0.5905511f, 0.5826771f,
         0.5748031f, 0.5669291f, 0.5590551f, 0.5511811f, 0.5433071f, 0.5354331f, 0.5275590f,
         0.5196850f, 0.5118110f, 0.5039370f, 0.4960630f, 0.4881890f, 0.4803150f, 0.4724410f,
         0.4645669f, 0.4566929f, 0.4488189f, 0.4409449f, 0.4330708f, 0.4251968f, 0.4173228f,
         0.4094488f, 0.4015748f, 0.3937008f, 0.3858268f, 0.3779528f, 0.3700787f, 0.3622047f,
         0.3543307f, 0.3464567f, 0.3385827f, 0.3307087f, 0.3228347f, 0.3149607f, 0.3070866f,
         0.2992126f, 0.2913386f, 0.2834646f, 0.2755905f, 0.2677165f, 0.2598425f, 0.2519685f,
         0.2440945f, 0.2362205f, 0.2283465f, 0.2204725f, 0.2125984f, 0.2047244f, 0.1968504f,
         0.1889764f, 0.1811023f, 0.1732283f, 0.1653543f, 0.1574803f, 0.1496063f, 0.1417323f,
         0.1338583f, 0.1259843f, 0.1181102f, 0.1102362f, 0.1023622f, 0.0944882f, 0.0866142f,
         0.0787402f, 0.0708662f, 0.0629922f, 0.0551181f, 0.0472441f, 0.0393701f, 0.0314960f,
         0.0236220f, 0.0157480f, 0.0078740f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0039216f, 0.0078431f, 0.0117647f, 0.0156863f, 0.0196078f, 0.0235294f,
         0.0274510f, 0.0313726f, 0.0352941f, 0.0392157f, 0.0431373f, 0.0470588f, 0.0509804f,
         0.0549020f, 0.0588235f, 0.0627451f, 0.0666667f, 0.0705882f, 0.0745098f, 0.0784314f,
         0.0823529f, 0.0862745f, 0.0901961f, 0.0941176f, 0.0980392f, 0.1019608f, 0.1058824f,
         0.1098039f, 0.1137255f, 0.1176471f, 0.1215686f, 0.1254902f, 0.1294118f, 0.1333333f,
         0.1372549f, 0.1411765f, 0.1450980f, 0.1490196f, 0.1529412f, 0.1568628f, 0.1607843f,
         0.1647059f, 0.1686275f, 0.1725490f, 0.1764706f, 0.1803922f, 0.1843137f, 0.1882353f,
         0.1921569f, 0.1960784f, 0.2000000f, 0.2039216f, 0.2078431f, 0.2117647f, 0.2156863f,
         0.2196078f, 0.2235294f, 0.2274510f, 0.2313726f, 0.2352941f, 0.2392157f, 0.2431373f,
         0.2470588f, 0.2509804f, 0.2549020f, 0.2588235f, 0.2627451f, 0.2666667f, 0.2705882f,
         0.2745098f, 0.2784314f, 0.2823530f, 0.2862745f, 0.2901961f, 0.2941177f, 0.2980392f,
         0.3019608f, 0.3058824f, 0.3098039f, 0.3137255f, 0.3176471f, 0.3215686f, 0.3254902f,
         0.3294118f, 0.3333333f, 0.3372549f, 0.3411765f, 0.3450980f, 0.3490196f, 0.3529412f,
         0.3568628f, 0.3607843f, 0.3647059f, 0.3686275f, 0.3725490f, 0.3764706f, 0.3803922f,
         0.3843137f, 0.3882353f, 0.3921569f, 0.3960784f, 0.4000000f, 0.4039216f, 0.4078431f,
         0.4117647f, 0.4156863f, 0.4196078f, 0.4235294f, 0.4274510f, 0.4313726f, 0.4352941f,
         0.4392157f, 0.4431373f, 0.4470588f, 0.4509804f, 0.4549020f, 0.4588235f, 0.4627451f,
         0.4666667f, 0.4705882f, 0.4745098f, 0.4784314f, 0.4823529f, 0.4862745f, 0.4901961f,
         0.4941176f, 0.4980392f, 0.5019608f, 0.5058824f, 0.5098040f, 0.5137255f, 0.5176471f,
         0.5215687f, 0.5254902f, 0.5294118f, 0.5333334f, 0.5372549f, 0.5411765f, 0.5450981f,
         0.5490196f, 0.5529412f, 0.5568628f, 0.5607843f, 0.5647059f, 0.5686275f, 0.5725490f,
         0.5764706f, 0.5803922f, 0.5843138f, 0.5882353f, 0.5921569f, 0.5960785f, 0.6000000f,
         0.6039216f, 0.6078432f, 0.6117647f, 0.6156863f, 0.6196079f, 0.6235294f, 0.6274510f,
         0.6313726f, 0.6352941f, 0.6392157f, 0.6431373f, 0.6470588f, 0.6509804f, 0.6549020f,
         0.6588235f, 0.6627451f, 0.6666667f, 0.6705883f, 0.6745098f, 0.6784314f, 0.6823530f,
         0.6862745f, 0.6901961f, 0.6941177f, 0.6980392f, 0.7019608f, 0.7058824f, 0.7098039f,
         0.7137255f, 0.7176471f, 0.7215686f, 0.7254902f, 0.7294118f, 0.7333333f, 0.7372549f,
         0.7411765f, 0.7450981f, 0.7490196f, 0.7529412f, 0.7568628f, 0.7607843f, 0.7647059f,
         0.7686275f, 0.7725490f, 0.7764706f, 0.7803922f, 0.7843137f, 0.7882353f, 0.7921569f,
         0.7960784f, 0.8000000f, 0.8039216f, 0.8078431f, 0.8117647f, 0.8156863f, 0.8196079f,
         0.8235294f, 0.8274510f, 0.8313726f, 0.8352941f, 0.8392157f, 0.8431373f, 0.8470588f,
         0.8509804f, 0.8549020f, 0.8588235f, 0.8627451f, 0.8666667f, 0.8705882f, 0.8745098f,
         0.8784314f, 0.8823529f, 0.8862745f, 0.8901961f, 0.8941177f, 0.8980392f, 0.9019608f,
         0.9058824f, 0.9098039f, 0.9137255f, 0.9176471f, 0.9215686f, 0.9254902f, 0.9294118f,
         0.9333333f, 0.9372549f, 0.9411765f, 0.9450980f, 0.9490196f, 0.9529412f, 0.9568627f,
         0.9607843f, 0.9647059f, 0.9686275f, 0.9725490f, 0.9764706f, 0.9803922f, 0.9843137f,
         0.9882353f, 0.9921569f, 0.9960784f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9960784f, 0.9921569f, 0.9882353f, 0.9843137f,
         0.9803922f, 0.9764706f, 0.9725490f, 0.9686275f, 0.9647059f, 0.9607843f, 0.9568627f,
         0.9529412f, 0.9490196f, 0.9450980f, 0.9411765f, 0.9372549f, 0.9333333f, 0.9294118f,
         0.9254902f, 0.9215686f, 0.9176471f, 0.9137255f, 0.9098039f, 0.9058824f, 0.9019608f,
         0.8980392f, 0.8941177f, 0.8901961f, 0.8862745f, 0.8823529f, 0.8784314f, 0.8745098f,
         0.8705882f, 0.8666667f, 0.8627451f, 0.8588235f, 0.8549020f, 0.8509804f, 0.8470588f,
         0.8431373f, 0.8392157f, 0.8352941f, 0.8313726f, 0.8274510f, 0.8235294f, 0.8196079f,
         0.8156863f, 0.8117647f, 0.8078431f, 0.8039216f, 0.8000000f, 0.7960784f, 0.7921569f,
         0.7882353f, 0.7843137f, 0.7803922f, 0.7764706f, 0.7725490f, 0.7686275f, 0.7647059f,
         0.7607843f, 0.7568628f, 0.7529412f, 0.7490196f, 0.7450980f, 0.7411765f, 0.7372549f,
         0.7333333f, 0.7294117f, 0.7254902f, 0.7215686f, 0.7176471f, 0.7137254f, 0.7098039f,
         0.7058823f, 0.7019608f, 0.6980392f, 0.6941177f, 0.6901960f, 0.6862745f, 0.6823529f,
         0.6784314f, 0.6745098f, 0.6705883f, 0.6666666f, 0.6627451f, 0.6588235f, 0.6549020f,
         0.6509804f, 0.6470588f, 0.6431372f, 0.6392157f, 0.6352941f, 0.6313726f, 0.6274509f,
         0.6235294f, 0.6196078f, 0.6156863f, 0.6117647f, 0.6078432f, 0.6039215f, 0.6000000f,
         0.5960784f, 0.5921569f, 0.5882353f, 0.5843138f, 0.5803921f, 0.5764706f, 0.5725490f,
         0.5686275f, 0.5647058f, 0.5607843f, 0.5568627f, 0.5529412f, 0.5490196f, 0.5450981f,
         0.5411764f, 0.5372549f, 0.5333333f, 0.5294118f, 0.5254902f, 0.5215687f, 0.5176470f,
         0.5137255f, 0.5098039f, 0.5058824f, 0.5019608f, 0.4980392f, 0.4941176f, 0.4901960f,
         0.4862745f, 0.4823529f, 0.4784313f, 0.4745098f, 0.4705882f, 0.4666666f, 0.4627451f,
         0.4588235f, 0.4549019f, 0.4509804f, 0.4470588f, 0.4431372f, 0.4392157f, 0.4352941f,
         0.4313725f, 0.4274510f, 0.4235294f, 0.4196078f, 0.4156862f, 0.4117647f, 0.4078431f,
         0.4039215f, 0.4000000f, 0.3960784f, 0.3921568f, 0.3882353f, 0.3843137f, 0.3803921f,
         0.3764706f, 0.3725490f, 0.3686274f, 0.3647059f, 0.3607843f, 0.3568627f, 0.3529412f,
         0.3490196f, 0.3450980f, 0.3411765f, 0.3372549f, 0.3333333f, 0.3294117f, 0.3254902f,
         0.3215686f, 0.3176470f, 0.3137255f, 0.3098039f, 0.3058823f, 0.3019608f, 0.2980392f,
         0.2941176f, 0.2901961f, 0.2862745f, 0.2823529f, 0.2784314f, 0.2745098f, 0.2705882f,
         0.2666667f, 0.2627451f, 0.2588235f, 0.2549019f, 0.2509804f, 0.2470588f, 0.2431372f,
         0.2392157f, 0.2352941f, 0.2313725f, 0.2274510f, 0.2235294f, 0.2196078f, 0.2156863f,
         0.2117647f, 0.2078431f, 0.2039216f, 0.2000000f, 0.1960784f, 0.1921569f, 0.1882353f,
         0.1843137f, 0.1803921f, 0.1764706f, 0.1725490f, 0.1686274f, 0.1647059f, 0.1607843f,
         0.1568627f, 0.1529412f, 0.1490196f, 0.1450980f, 0.1411765f, 0.1372549f, 0.1333333f,
         0.1294118f, 0.1254902f, 0.1215686f, 0.1176471f, 0.1137255f, 0.1098039f, 0.1058823f,
         0.1019608f, 0.0980392f, 0.0941176f, 0.0901961f, 0.0862745f, 0.0823529f, 0.0784314f,
         0.0745098f, 0.0705882f, 0.0666667f, 0.0627451f, 0.0588235f, 0.0549020f, 0.0509804f,
         0.0470588f, 0.0431373f, 0.0392157f, 0.0352941f, 0.0313725f, 0.0274510f, 0.0235294f,
         0.0196078f, 0.0156863f, 0.0117647f, 0.0078431f, 0.0039216f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0026110f, 0.0052219f, 0.0078329f, 0.0104439f, 0.0130548f, 0.0156658f,
         0.0182768f, 0.0208877f, 0.0234987f, 0.0261097f, 0.0287206f, 0.0313316f, 0.0339426f,
         0.0365535f, 0.0391645f, 0.0417755f, 0.0443864f, 0.0469974f, 0.0496084f, 0.0522193f,
         0.0548303f, 0.0574413f, 0.0600522f, 0.0626632f, 0.0652741f, 0.0678851f, 0.0704961f,
         0.0731070f, 0.0757180f, 0.0783290f, 0.0809399f, 0.0835509f, 0.0861619f, 0.0887728f,
         0.0913838f, 0.0939948f, 0.0966057f, 0.0992167f, 0.1018277f, 0.1044386f, 0.1070496f,
         0.1096606f, 0.1122715f, 0.1148825f, 0.1174935f, 0.1201044f, 0.1227154f, 0.1253264f,
         0.1279373f, 0.1305483f, 0.1331593f, 0.1357702f, 0.1383812f, 0.1409922f, 0.1436031f,
         0.1462141f, 0.1488251f, 0.1514360f, 0.1540470f, 0.1566580f, 0.1592689f, 0.1618799f,
         0.1644909f, 0.1671018f, 0.1697128f, 0.1723238f, 0.1749347f, 0.1775457f, 0.1801567f,
         0.1827676f, 0.1853786f, 0.1879896f, 0.1906005f, 0.1932115f, 0.1958224f, 0.1984334f,
         0.2010444f, 0.2036553f, 0.2062663f, 0.2088773f, 0.2114882f, 0.2140992f, 0.2167102f,
         0.2193211f, 0.2219321f, 0.2245431f, 0.2271540f, 0.2297650f, 0.2323760f, 0.2349869f,
         0.2375979f, 0.2402089f, 0.2428198f, 0.2454308f, 0.2480418f, 0.2506527f, 0.2532637f,
         0.2558747f, 0.2584856f, 0.2610966f, 0.2637076f, 0.2663185f, 0.2689295f, 0.2715405f,
         0.2741514f, 0.2767624f, 0.2793734f, 0.2819843f, 0.2845953f, 0.2872063f, 0.2898172f,
         0.2924282f, 0.2950392f, 0.2976501f, 0.3002611f, 0.3028721f, 0.3054830f, 0.3080940f,
         0.3107049f, 0.3133159f, 0.3159269f, 0.3185379f, 0.3211488f, 0.3237598f, 0.3263707f,
         0.3289817f, 0.3315927f, 0.3342037f, 0.3368146f, 0.3394256f, 0.3420365f, 0.3446475f,
         0.3472585f, 0.3498695f, 0.3524804f, 0.3550914f, 0.3577023f, 0.3603133f, 0.3629243f,
         0.3655353f, 0.3681462f, 0.3707572f, 0.3733681f, 0.3759791f, 0.3785901f, 0.3812011f,
         0.3838120f, 0.3864230f, 0.3890339f, 0.3916449f, 0.3942559f, 0.3968668f, 0.3994778f,
         0.4020888f, 0.4046997f, 0.4073107f, 0.4099217f, 0.4125326f, 0.4151436f, 0.4177546f,
         0.4203655f, 0.4229765f, 0.4255875f, 0.4281984f, 0.4308094f, 0.4334204f, 0.4360313f,
         0.4386423f, 0.4412533f, 0.4438642f, 0.4464752f, 0.4490862f, 0.4516971f, 0.4543081f,
         0.4569191f, 0.4595300f, 0.4621410f, 0.4647520f, 0.4673629f, 0.4699739f, 0.4725848f,
         0.4751958f, 0.4778068f, 0.4804178f, 0.4830287f, 0.4856397f, 0.4882506f, 0.4908616f,
         0.4934726f, 0.4960836f, 0.4986945f, 0.5013055f, 0.5039164f, 0.5065274f, 0.5091384f,
         0.5117493f, 0.5143603f, 0.5169713f, 0.5195823f, 0.5221932f, 0.5248042f, 0.5274152f,
         0.5300261f, 0.5326371f, 0.5352480f, 0.5378590f, 0.5404699f, 0.5430809f, 0.5456919f,
         0.5483029f, 0.5509138f, 0.5535248f, 0.5561358f, 0.5587468f, 0.5613577f, 0.5639687f,
         0.5665796f, 0.5691906f, 0.5718015f, 0.5744125f, 0.5770235f, 0.5796345f, 0.5822454f,
         0.5848564f, 0.5874674f, 0.5900784f, 0.5926893f, 0.5953003f, 0.5979112f, 0.6005222f,
         0.6031331f, 0.6057441f, 0.6083551f, 0.6109661f, 0.6135770f, 0.6161880f, 0.6187990f,
         0.6214099f, 0.6240209f, 0.6266319f, 0.6292428f, 0.6318538f, 0.6344647f, 0.6370757f,
         0.6396867f, 0.6422976f, 0.6449086f, 0.6475196f, 0.6501306f, 0.6527415f, 0.6553525f,
         0.6579635f, 0.6605744f, 0.6631854f, 0.6657963f, 0.6684073f, 0.6710183f, 0.6736292f,
         0.6762402f, 0.6788512f, 0.6814622f, 0.6840731f, 0.6866841f, 0.6892951f, 0.6919060f,
         0.6945170f, 0.6971279f, 0.6997389f, 0.7023498f, 0.7049608f, 0.7075718f, 0.7101828f,
         0.7127937f, 0.7154047f, 0.7180157f, 0.7206267f, 0.7232376f, 0.7258486f, 0.7284595f,
         0.7310705f, 0.7336814f, 0.7362924f, 0.7389034f, 0.7415144f, 0.7441253f, 0.7467363f,
         0.7493473f, 0.7519583f, 0.7545692f, 0.7571802f, 0.7597911f, 0.7624021f, 0.7650130f,
         0.7676240f, 0.7702350f, 0.7728459f, 0.7754569f, 0.7780679f, 0.7806789f, 0.7832898f,
         0.7859008f, 0.7885118f, 0.7911227f, 0.7937337f, 0.7963446f, 0.7989556f, 0.8015666f,
         0.8041775f, 0.8067885f, 0.8093995f, 0.8120105f, 0.8146214f, 0.8172324f, 0.8198434f,
         0.8224543f, 0.8250653f, 0.8276762f, 0.8302872f, 0.8328982f, 0.8355091f, 0.8381201f,
         0.8407311f, 0.8433421f, 0.8459530f, 0.8485640f, 0.8511750f, 0.8537859f, 0.8563969f,
         0.8590078f, 0.8616188f, 0.8642297f, 0.8668407f, 0.8694517f, 0.8720627f, 0.8746736f,
         0.8772846f, 0.8798956f, 0.8825065f, 0.8851175f, 0.8877285f, 0.8903394f, 0.8929504f,
         0.8955613f, 0.8981723f, 0.9007833f, 0.9033943f, 0.9060052f, 0.9086162f, 0.9112272f,
         0.9138381f, 0.9164491f, 0.9190601f, 0.9216710f, 0.9242820f, 0.9268929f, 0.9295039f,
         0.9321149f, 0.9347258f, 0.9373368f, 0.9399478f, 0.9425588f, 0.9451697f, 0.9477807f,
         0.9503917f, 0.9530026f, 0.9556136f, 0.9582245f, 0.9608355f, 0.9634465f, 0.9660574f,
         0.9686684f, 0.9712794f, 0.9738904f, 0.9765013f, 0.9791123f, 0.9817232f, 0.9843342f,
         0.9869452f, 0.9895561f, 0.9921671f, 0.9947781f, 0.9973890f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9973890f, 0.9947781f, 0.9921671f, 0.9895561f,
         0.9869452f, 0.9843342f, 0.9817232f, 0.9791123f, 0.9765013f, 0.9738904f, 0.9712794f,
         0.9686684f, 0.9660574f, 0.9634465f, 0.9608355f, 0.9582245f, 0.9556136f, 0.9530026f,
         0.9503917f, 0.9477807f, 0.9451697f, 0.9425588f, 0.9399478f, 0.9373368f, 0.9347259f,
         0.9321149f, 0.9295039f, 0.9268929f, 0.9242820f, 0.9216710f, 0.9190601f, 0.9164491f,
         0.9138381f, 0.9112272f, 0.9086162f, 0.9060052f, 0.9033943f, 0.9007833f, 0.8981723f,
         0.8955613f, 0.8929504f, 0.8903394f, 0.8877285f, 0.8851175f, 0.8825065f, 0.8798956f,
         0.8772846f, 0.8746736f, 0.8720627f, 0.8694517f, 0.8668407f, 0.8642298f, 0.8616188f,
         0.8590078f, 0.8563969f, 0.8537859f, 0.8511750f, 0.8485640f, 0.8459530f, 0.8433421f,
         0.8407311f, 0.8381201f, 0.8355091f, 0.8328981f, 0.8302872f, 0.8276762f, 0.8250653f,
         0.8224543f, 0.8198434f, 0.8172324f, 0.8146214f, 0.8120104f, 0.8093995f, 0.8067885f,
         0.8041775f, 0.8015666f, 0.7989556f, 0.7963446f, 0.7937337f, 0.7911227f, 0.7885118f,
         0.7859008f, 0.7832898f, 0.7806789f, 0.7780679f, 0.7754569f, 0.7728460f, 0.7702350f,
         0.7676240f, 0.7650130f, 0.7624021f, 0.7597911f, 0.7571802f, 0.7545692f, 0.7519583f,
         0.7493473f, 0.7467363f, 0.7441254f, 0.7415143f, 0.7389034f, 0.7362924f, 0.7336814f,
         0.7310705f, 0.7284595f, 0.7258486f, 0.7232376f, 0.7206266f, 0.7180157f, 0.7154047f,
         0.7127937f, 0.7101828f, 0.7075718f, 0.7049608f, 0.7023499f, 0.6997389f, 0.6971279f,
         0.6945170f, 0.6919060f, 0.6892951f, 0.6866841f, 0.6840731f, 0.6814622f, 0.6788512f,
         0.6762402f, 0.6736293f, 0.6710182f, 0.6684073f, 0.6657963f, 0.6631854f, 0.6605744f,
         0.6579635f, 0.6553525f, 0.6527416f, 0.6501305f, 0.6475196f, 0.6449086f, 0.6422976f,
         0.6396867f, 0.6370757f, 0.6344647f, 0.6318538f, 0.6292428f, 0.6266319f, 0.6240209f,
         0.6214099f, 0.6187990f, 0.6161880f, 0.6135770f, 0.6109661f, 0.6083551f, 0.6057441f,
         0.6031332f, 0.6005222f, 0.5979112f, 0.5953003f, 0.5926893f, 0.5900784f, 0.5874674f,
         0.5848564f, 0.5822455f, 0.5796344f, 0.5770235f, 0.5744125f, 0.5718015f, 0.5691906f,
         0.5665796f, 0.5639687f, 0.5613577f, 0.5587467f, 0.5561358f, 0.5535248f, 0.5509138f,
         0.5483029f, 0.5456919f, 0.5430809f, 0.5404700f, 0.5378590f, 0.5352480f, 0.5326371f,
         0.5300261f, 0.5274152f, 0.5248042f, 0.5221932f, 0.5195823f, 0.5169713f, 0.5143603f,
         0.5117494f, 0.5091383f, 0.5065274f, 0.5039164f, 0.5013055f, 0.4986945f, 0.4960836f,
         0.4934726f, 0.4908616f, 0.4882507f, 0.4856397f, 0.4830287f, 0.4804177f, 0.4778068f,
         0.4751958f, 0.4725848f, 0.4699739f, 0.4673629f, 0.4647520f, 0.4621410f, 0.4595301f,
         0.4569191f, 0.4543081f, 0.4516971f, 0.4490862f, 0.4464752f, 0.4438642f, 0.4412532f,
         0.4386423f, 0.4360313f, 0.4334204f, 0.4308094f, 0.4281985f, 0.4255875f, 0.4229765f,
         0.4203655f, 0.4177546f, 0.4151436f, 0.4125326f, 0.4099216f, 0.4073107f, 0.4046997f,
         0.4020888f, 0.3994778f, 0.3968669f, 0.3942559f, 0.3916449f, 0.3890339f, 0.3864230f,
         0.3838120f, 0.3812010f, 0.3785901f, 0.3759791f, 0.3733681f, 0.3707572f, 0.3681462f,
         0.3655353f, 0.3629243f, 0.3603133f, 0.3577024f, 0.3550914f, 0.3524804f, 0.3498694f,
         0.3472585f, 0.3446475f, 0.3420365f, 0.3394256f, 0.3368146f, 0.3342037f, 0.3315927f,
         0.3289817f, 0.3263708f, 0.3237598f, 0.3211488f, 0.3185378f, 0.3159269f, 0.3133159f,
         0.3107049f, 0.3080940f, 0.3054830f, 0.3028721f, 0.3002611f, 0.2976502f, 0.2950392f,
         0.2924282f, 0.2898172f, 0.2872063f, 0.2845953f, 0.2819843f, 0.2793733f, 0.2767624f,
         0.2741514f, 0.2715405f, 0.2689295f, 0.2663186f, 0.2637076f, 0.2610966f, 0.2584856f,
         0.2558747f, 0.2532637f, 0.2506527f, 0.2480417f, 0.2454308f, 0.2428198f, 0.2402089f,
         0.2375979f, 0.2349870f, 0.2323760f, 0.2297650f, 0.2271541f, 0.2245431f, 0.2219321f,
         0.2193211f, 0.2167102f, 0.2140992f, 0.2114882f, 0.2088773f, 0.2062663f, 0.2036554f,
         0.2010444f, 0.1984334f, 0.1958225f, 0.1932115f, 0.1906005f, 0.1879895f, 0.1853786f,
         0.1827676f, 0.1801566f, 0.1775457f, 0.1749347f, 0.1723238f, 0.1697128f, 0.1671018f,
         0.1644909f, 0.1618799f, 0.1592689f, 0.1566579f, 0.1540470f, 0.1514360f, 0.1488250f,
         0.1462141f, 0.1436031f, 0.1409922f, 0.1383812f, 0.1357703f, 0.1331593f, 0.1305483f,
         0.1279373f, 0.1253264f, 0.1227154f, 0.1201044f, 0.1174935f, 0.1148825f, 0.1122715f,
         0.1096606f, 0.1070496f, 0.1044387f, 0.1018277f, 0.0992167f, 0.0966057f, 0.0939948f,
         0.0913838f, 0.0887728f, 0.0861619f, 0.0835509f, 0.0809399f, 0.0783290f, 0.0757180f,
         0.0731071f, 0.0704961f, 0.0678851f, 0.0652742f, 0.0626632f, 0.0600522f, 0.0574412f,
         0.0548303f, 0.0522193f, 0.0496083f, 0.0469974f, 0.0443864f, 0.0417755f, 0.0391645f,
         0.0365535f, 0.0339426f, 0.0313316f, 0.0287206f, 0.0261096f, 0.0234987f, 0.0208877f,
         0.0182768f, 0.0156658f, 0.0130548f, 0.0104439f, 0.0078329f, 0.0052219f, 0.0026110f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0019569f, 0.0039139f, 0.0058708f, 0.0078278f, 0.0097847f, 0.0117417f,
         0.0136986f, 0.0156556f, 0.0176125f, 0.0195695f, 0.0215264f, 0.0234834f, 0.0254403f,
         0.0273973f, 0.0293542f, 0.0313112f, 0.0332681f, 0.0352250f, 0.0371820f, 0.0391389f,
         0.0410959f, 0.0430528f, 0.0450098f, 0.0469667f, 0.0489237f, 0.0508806f, 0.0528376f,
         0.0547945f, 0.0567515f, 0.0587084f, 0.0606654f, 0.0626223f, 0.0645793f, 0.0665362f,
         0.0684932f, 0.0704501f, 0.0724070f, 0.0743640f, 0.0763209f, 0.0782779f, 0.0802348f,
         0.0821918f, 0.0841487f, 0.0861057f, 0.0880626f, 0.0900196f, 0.0919765f, 0.0939335f,
         0.0958904f, 0.0978474f, 0.0998043f, 0.1017613f, 0.1037182f, 0.1056751f, 0.1076321f,
         0.1095890f, 0.1115460f, 0.1135029f, 0.1154599f, 0.1174168f, 0.1193738f, 0.1213307f,
         0.1232877f, 0.1252446f, 0.1272016f, 0.1291585f, 0.1311155f, 0.1330724f, 0.1350294f,
         0.1369863f, 0.1389433f, 0.1409002f, 0.1428571f, 0.1448141f, 0.1467710f, 0.1487280f,
         0.1506849f, 0.1526419f, 0.1545988f, 0.1565558f, 0.1585127f, 0.1604697f, 0.1624266f,
         0.1643836f, 0.1663405f, 0.1682975f, 0.1702544f, 0.1722113f, 0.1741683f, 0.1761252f,
         0.1780822f, 0.1800391f, 0.1819961f, 0.1839530f, 0.1859100f, 0.1878669f, 0.1898239f,
         0.1917808f, 0.1937378f, 0.1956947f, 0.1976517f, 0.1996086f, 0.2015656f, 0.2035225f,
         0.2054795f, 0.2074364f, 0.2093934f, 0.2113503f, 0.2133072f, 0.2152642f, 0.2172211f,
         0.2191781f, 0.2211350f, 0.2230920f, 0.2250489f, 0.2270059f, 0.2289628f, 0.2309198f,
         0.2328767f, 0.2348337f, 0.2367906f, 0.2387476f, 0.2407045f, 0.2426614f, 0.2446184f,
         0.2465753f, 0.2485323f, 0.2504892f, 0.2524462f, 0.2544031f, 0.2563601f, 0.2583170f,
         0.2602740f, 0.2622309f, 0.2641879f, 0.2661448f, 0.2681018f, 0.2700587f, 0.2720157f,
         0.2739726f, 0.2759295f, 0.2778865f, 0.2798434f, 0.2818004f, 0.2837573f, 0.2857143f,
         0.2876712f, 0.2896282f, 0.2915851f, 0.2935421f, 0.2954990f, 0.2974560f, 0.2994129f,
         0.3013699f, 0.3033268f, 0.3052838f, 0.3072407f, 0.3091977f, 0.3111546f, 0.3131115f,
         0.3150685f, 0.3170255f, 0.3189824f, 0.3209393f, 0.3228963f, 0.3248532f, 0.3268102f,
         0.3287671f, 0.3307241f, 0.3326810f, 0.3346380f, 0.3365949f, 0.3385518f, 0.3405088f,
         0.3424658f, 0.3444227f, 0.3463796f, 0.3483366f, 0.3502935f, 0.3522505f, 0.3542074f,
         0.3561644f, 0.3581213f, 0.3600783f, 0.3620352f, 0.3639922f, 0.3659491f, 0.3679061f,
         0.3698630f, 0.3718200f, 0.3737769f, 0.3757339f, 0.3776908f, 0.3796478f, 0.3816047f,
         0.3835616f, 0.3855186f, 0.3874756f, 0.3894325f, 0.3913894f, 0.3933464f, 0.3953033f,
         0.3972603f, 0.3992172f, 0.4011742f, 0.4031311f, 0.4050881f, 0.4070450f, 0.4090019f,
         0.4109589f, 0.4129159f, 0.4148728f, 0.4168297f, 0.4187867f, 0.4207436f, 0.4227006f,
         0.4246575f, 0.4266145f, 0.4285714f, 0.4305284f, 0.4324853f, 0.4344423f, 0.4363992f,
         0.4383562f, 0.4403131f, 0.4422701f, 0.4442270f, 0.4461839f, 0.4481409f, 0.4500979f,
         0.4520548f, 0.4540117f, 0.4559687f, 0.4579256f, 0.4598826f, 0.4618395f, 0.4637965f,
         0.4657534f, 0.4677104f, 0.4696673f, 0.4716243f, 0.4735812f, 0.4755382f, 0.4774951f,
         0.4794520f, 0.4814090f, 0.4833660f, 0.4853229f, 0.4872798f, 0.4892368f, 0.4911937f,
         0.4931507f, 0.4951076f, 0.4970646f, 0.4990215f, 0.5009785f, 0.5029354f, 0.5048923f,
         0.5068493f, 0.5088063f, 0.5107632f, 0.5127202f, 0.5146771f, 0.5166340f, 0.5185910f,
         0.5205479f, 0.5225049f, 0.5244619f, 0.5264188f, 0.5283757f, 0.5303327f, 0.5322896f,
         0.5342466f, 0.5362035f, 0.5381604f, 0.5401174f, 0.5420744f, 0.5440313f, 0.5459883f,
         0.5479452f, 0.5499021f, 0.5518591f, 0.5538160f, 0.5557730f, 0.5577300f, 0.5596869f,
         0.5616438f, 0.5636008f, 0.5655577f, 0.5675147f, 0.5694716f, 0.5714286f, 0.5733855f,
         0.5753425f, 0.5772994f, 0.5792564f, 0.5812133f, 0.5831702f, 0.5851272f, 0.5870842f,
         0.5890411f, 0.5909981f, 0.5929550f, 0.5949119f, 0.5968689f, 0.5988258f, 0.6007828f,
         0.6027398f, 0.6046967f, 0.6066536f, 0.6086106f, 0.6105675f, 0.6125244f, 0.6144814f,
         0.6164383f, 0.6183953f, 0.6203523f, 0.6223092f, 0.6242661f, 0.6262231f, 0.6281800f,
         0.6301370f, 0.6320939f, 0.6340509f, 0.6360078f, 0.6379648f, 0.6399217f, 0.6418787f,
         0.6438356f, 0.6457925f, 0.6477495f, 0.6497065f, 0.6516634f, 0.6536204f, 0.6555773f,
         0.6575342f, 0.6594912f, 0.6614481f, 0.6634051f, 0.6653621f, 0.6673190f, 0.6692759f,
         0.6712329f, 0.6731898f, 0.6751468f, 0.6771037f, 0.6790606f, 0.6810176f, 0.6829746f,
         0.6849315f, 0.6868885f, 0.6888454f, 0.6908023f, 0.6927593f, 0.6947162f, 0.6966732f,
         0.6986302f, 0.7005871f, 0.7025440f, 0.7045010f, 0.7064579f, 0.7084149f, 0.7103718f,
         0.7123288f, 0.7142857f, 0.7162427f, 0.7181996f, 0.7201566f, 0.7221135f, 0.7240704f,
         0.7260274f, 0.7279844f, 0.7299413f, 0.7318982f, 0.7338552f, 0.7358121f, 0.7377691f,
         0.7397260f, 0.7416829f, 0.7436399f, 0.7455969f, 0.7475538f, 0.7495108f, 0.7514677f,
         0.7534246f, 0.7553816f, 0.7573385f, 0.7592955f, 0.7612525f, 0.7632094f, 0.7651663f,
         0.7671233f, 0.7690802f, 0.7710372f, 0.7729941f, 0.7749511f, 0.7769080f, 0.7788650f,
         0.7808219f, 0.7827789f, 0.7847358f, 0.7866927f, 0.7886497f, 0.7906067f, 0.7925636f,
         0.7945206f, 0.7964775f, 0.7984344f, 0.8003914f, 0.8023483f, 0.8043053f, 0.8062623f,
         0.8082192f, 0.8101761f, 0.8121331f, 0.8140900f, 0.8160470f, 0.8180039f, 0.8199608f,
         0.8219178f, 0.8238748f, 0.8258317f, 0.8277887f, 0.8297456f, 0.8317025f, 0.8336595f,
         0.8356164f, 0.8375734f, 0.8395303f, 0.8414873f, 0.8434442f, 0.8454012f, 0.8473581f,
         0.8493150f, 0.8512720f, 0.8532290f, 0.8551859f, 0.8571429f, 0.8590998f, 0.8610567f,
         0.8630137f, 0.8649706f, 0.8669276f, 0.8688846f, 0.8708415f, 0.8727984f, 0.8747554f,
         0.8767123f, 0.8786693f, 0.8806262f, 0.8825831f, 0.8845401f, 0.8864971f, 0.8884540f,
         0.8904110f, 0.8923679f, 0.8943248f, 0.8962818f, 0.8982387f, 0.9001957f, 0.9021527f,
         0.9041096f, 0.9060665f, 0.9080235f, 0.9099804f, 0.9119374f, 0.9138943f, 0.9158513f,
         0.9178082f, 0.9197652f, 0.9217221f, 0.9236791f, 0.9256360f, 0.9275929f, 0.9295499f,
         0.9315069f, 0.9334638f, 0.9354208f, 0.9373777f, 0.9393346f, 0.9412916f, 0.9432485f,
         0.9452055f, 0.9471624f, 0.9491194f, 0.9510763f, 0.9530333f, 0.9549902f, 0.9569471f,
         0.9589041f, 0.9608610f, 0.9628180f, 0.9647750f, 0.9667319f, 0.9686888f, 0.9706458f,
         0.9726027f, 0.9745597f, 0.9765166f, 0.9784736f, 0.9804305f, 0.9823875f, 0.9843444f,
         0.9863014f, 0.9882583f, 0.9902152f, 0.9921722f, 0.9941292f, 0.9960861f, 0.9980431f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9980431f, 0.9960861f, 0.9941292f, 0.9921722f,
         0.9902152f, 0.9882583f, 0.9863014f, 0.9843444f, 0.9823875f, 0.9804305f, 0.9784736f,
         0.9765166f, 0.9745597f, 0.9726027f, 0.9706458f, 0.9686888f, 0.9667319f, 0.9647750f,
         0.9628180f, 0.9608611f, 0.9589041f, 0.9569471f, 0.9549902f, 0.9530333f, 0.9510763f,
         0.9491194f, 0.9471624f, 0.9452055f, 0.9432485f, 0.9412916f, 0.9393346f, 0.9373777f,
         0.9354208f, 0.9334638f, 0.9315069f, 0.9295499f, 0.9275929f, 0.9256360f, 0.9236791f,
         0.9217221f, 0.9197652f, 0.9178082f, 0.9158513f, 0.9138943f, 0.9119374f, 0.9099804f,
         0.9080235f, 0.9060665f, 0.9041096f, 0.9021527f, 0.9001957f, 0.8982388f, 0.8962818f,
         0.8943248f, 0.8923679f, 0.8904110f, 0.8884540f, 0.8864971f, 0.8845401f, 0.8825831f,
         0.8806262f, 0.8786693f, 0.8767123f, 0.8747554f, 0.8727984f, 0.8708415f, 0.8688846f,
         0.8669276f, 0.8649706f, 0.8630137f, 0.8610567f, 0.8590998f, 0.8571429f, 0.8551859f,
         0.8532289f, 0.8512720f, 0.8493150f, 0.8473581f, 0.8454012f, 0.8434442f, 0.8414873f,
         0.8395303f, 0.8375734f, 0.8356165f, 0.8336595f, 0.8317025f, 0.8297456f, 0.8277887f,
         0.8258317f, 0.8238748f, 0.8219178f, 0.8199608f, 0.8180039f, 0.8160470f, 0.8140900f,
         0.8121331f, 0.8101761f, 0.8082192f, 0.8062623f, 0.8043053f, 0.8023483f, 0.8003914f,
         0.7984344f, 0.7964775f, 0.7945206f, 0.7925636f, 0.7906066f, 0.7886497f, 0.7866927f,
         0.7847358f, 0.7827789f, 0.7808219f, 0.7788650f, 0.7769080f, 0.7749511f, 0.7729942f,
         0.7710372f, 0.7690802f, 0.7671233f, 0.7651663f, 0.7632094f, 0.7612525f, 0.7592955f,
         0.7573385f, 0.7553816f, 0.7534246f, 0.7514677f, 0.7495108f, 0.7475538f, 0.7455969f,
         0.7436399f, 0.7416830f, 0.7397261f, 0.7377691f, 0.7358121f, 0.7338552f, 0.7318982f,
         0.7299412f, 0.7279843f, 0.7260274f, 0.7240704f, 0.7221135f, 0.7201566f, 0.7181996f,
         0.7162427f, 0.7142857f, 0.7123288f, 0.7103719f, 0.7084149f, 0.7064579f, 0.7045010f,
         0.7025440f, 0.7005871f, 0.6986301f, 0.6966732f, 0.6947162f, 0.6927593f, 0.6908023f,
         0.6888454f, 0.6868885f, 0.6849315f, 0.6829746f, 0.6810176f, 0.6790607f, 0.6771038f,
         0.6751468f, 0.6731898f, 0.6712329f, 0.6692759f, 0.6673189f, 0.6653620f, 0.6634051f,
         0.6614481f, 0.6594912f, 0.6575342f, 0.6555773f, 0.6536204f, 0.6516634f, 0.6497065f,
         0.6477495f, 0.6457926f, 0.6438356f, 0.6418787f, 0.6399217f, 0.6379648f, 0.6360078f,
         0.6340508f, 0.6320939f, 0.6301370f, 0.6281800f, 0.6262231f, 0.6242661f, 0.6223092f,
         0.6203523f, 0.6183953f, 0.6164384f, 0.6144814f, 0.6125244f, 0.6105675f, 0.6086106f,
         0.6066536f, 0.6046966f, 0.6027397f, 0.6007828f, 0.5988258f, 0.5968689f, 0.5949119f,
         0.5929550f, 0.5909981f, 0.5890411f, 0.5870842f, 0.5851272f, 0.5831703f, 0.5812133f,
         0.5792564f, 0.5772994f, 0.5753425f, 0.5733855f, 0.5714285f, 0.5694716f, 0.5675147f,
         0.5655577f, 0.5636008f, 0.5616438f, 0.5596869f, 0.5577300f, 0.5557730f, 0.5538161f,
         0.5518591f, 0.5499021f, 0.5479452f, 0.5459883f, 0.5440313f, 0.5420743f, 0.5401174f,
         0.5381604f, 0.5362035f, 0.5342466f, 0.5322896f, 0.5303327f, 0.5283757f, 0.5264188f,
         0.5244619f, 0.5225049f, 0.5205480f, 0.5185910f, 0.5166340f, 0.5146771f, 0.5127202f,
         0.5107632f, 0.5088062f, 0.5068493f, 0.5048923f, 0.5029354f, 0.5009785f, 0.4990215f,
         0.4970646f, 0.4951077f, 0.4931507f, 0.4911937f, 0.4892368f, 0.4872798f, 0.4853229f,
         0.4833660f, 0.4814090f, 0.4794521f, 0.4774951f, 0.4755381f, 0.4735812f, 0.4716243f,
         0.4696673f, 0.4677104f, 0.4657534f, 0.4637965f, 0.4618396f, 0.4598826f, 0.4579256f,
         0.4559687f, 0.4540117f, 0.4520548f, 0.4500979f, 0.4481409f, 0.4461840f, 0.4442270f,
         0.4422700f, 0.4403131f, 0.4383562f, 0.4363992f, 0.4344423f, 0.4324853f, 0.4305284f,
         0.4285714f, 0.4266145f, 0.4246575f, 0.4227006f, 0.4207436f, 0.4187867f, 0.4168298f,
         0.4148728f, 0.4129158f, 0.4109589f, 0.4090019f, 0.4070450f, 0.4050881f, 0.4031311f,
         0.4011742f, 0.3992172f, 0.3972602f, 0.3953033f, 0.3933464f, 0.3913894f, 0.3894325f,
         0.3874756f, 0.3855186f, 0.3835617f, 0.3816047f, 0.3796477f, 0.3776908f, 0.3757339f,
         0.3737769f, 0.3718200f, 0.3698630f, 0.3679061f, 0.3659491f, 0.3639922f, 0.3620352f,
         0.3600783f, 0.3581213f, 0.3561644f, 0.3542075f, 0.3522505f, 0.3502935f, 0.3483366f,
         0.3463796f, 0.3444227f, 0.3424658f, 0.3405088f, 0.3385519f, 0.3365949f, 0.3346379f,
         0.3326810f, 0.3307241f, 0.3287671f, 0.3268102f, 0.3248532f, 0.3228963f, 0.3209394f,
         0.3189824f, 0.3170254f, 0.3150685f, 0.3131115f, 0.3111546f, 0.3091977f, 0.3072407f,
         0.3052838f, 0.3033268f, 0.3013698f, 0.2994129f, 0.2974560f, 0.2954990f, 0.2935421f,
         0.2915851f, 0.2896282f, 0.2876712f, 0.2857143f, 0.2837573f, 0.2818004f, 0.2798434f,
         0.2778865f, 0.2759296f, 0.2739726f, 0.2720156f, 0.2700587f, 0.2681018f, 0.2661448f,
         0.2641879f, 0.2622309f, 0.2602740f, 0.2583171f, 0.2563601f, 0.2544031f, 0.2524462f,
         0.2504892f, 0.2485323f, 0.2465754f, 0.2446184f, 0.2426615f, 0.2407045f, 0.2387475f,
         0.2367906f, 0.2348337f, 0.2328767f, 0.2309198f, 0.2289628f, 0.2270059f, 0.2250489f,
         0.2230920f, 0.2211350f, 0.2191781f, 0.2172211f, 0.2152642f, 0.2133073f, 0.2113503f,
         0.2093933f, 0.2074364f, 0.2054794f, 0.2035225f, 0.2015656f, 0.1996086f, 0.1976517f,
         0.1956947f, 0.1937377f, 0.1917808f, 0.1898239f, 0.1878669f, 0.1859100f, 0.1839530f,
         0.1819961f, 0.1800392f, 0.1780822f, 0.1761252f, 0.1741683f, 0.1722113f, 0.1702544f,
         0.1682975f, 0.1663405f, 0.1643836f, 0.1624266f, 0.1604697f, 0.1585127f, 0.1565558f,
         0.1545988f, 0.1526419f, 0.1506850f, 0.1487280f, 0.1467710f, 0.1448141f, 0.1428571f,
         0.1409002f, 0.1389433f, 0.1369863f, 0.1350294f, 0.1330724f, 0.1311154f, 0.1291585f,
         0.1272016f, 0.1252446f, 0.1232877f, 0.1213307f, 0.1193738f, 0.1174169f, 0.1154599f,
         0.1135029f, 0.1115460f, 0.1095890f, 0.1076321f, 0.1056752f, 0.1037182f, 0.1017613f,
         0.0998043f, 0.0978473f, 0.0958904f, 0.0939335f, 0.0919765f, 0.0900196f, 0.0880626f,
         0.0861057f, 0.0841487f, 0.0821918f, 0.0802348f, 0.0782779f, 0.0763209f, 0.0743640f,
         0.0724071f, 0.0704501f, 0.0684931f, 0.0665362f, 0.0645792f, 0.0626223f, 0.0606654f,
         0.0587084f, 0.0567515f, 0.0547945f, 0.0528376f, 0.0508806f, 0.0489237f, 0.0469667f,
         0.0450098f, 0.0430529f, 0.0410959f, 0.0391390f, 0.0371820f, 0.0352250f, 0.0332681f,
         0.0313112f, 0.0293542f, 0.0273973f, 0.0254403f, 0.0234834f, 0.0215264f, 0.0195695f,
         0.0176125f, 0.0156556f, 0.0136986f, 0.0117417f, 0.0097848f, 0.0078278f, 0.0058708f,
         0.0039139f, 0.0019569f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0013038f, 0.0026076f, 0.0039113f, 0.0052151f, 0.0065189f, 0.0078227f,
         0.0091265f, 0.0104302f, 0.0117340f, 0.0130378f, 0.0143416f, 0.0156454f, 0.0169492f,
         0.0182529f, 0.0195567f, 0.0208605f, 0.0221643f, 0.0234681f, 0.0247718f, 0.0260756f,
         0.0273794f, 0.0286832f, 0.0299870f, 0.0312907f, 0.0325945f, 0.0338983f, 0.0352021f,
         0.0365059f, 0.0378096f, 0.0391134f, 0.0404172f, 0.0417210f, 0.0430248f, 0.0443286f,
         0.0456323f, 0.0469361f, 0.0482399f, 0.0495437f, 0.0508475f, 0.0521512f, 0.0534550f,
         0.0547588f, 0.0560626f, 0.0573664f, 0.0586701f, 0.0599739f, 0.0612777f, 0.0625815f,
         0.0638853f, 0.0651890f, 0.0664928f, 0.0677966f, 0.0691004f, 0.0704042f, 0.0717080f,
         0.0730117f, 0.0743155f, 0.0756193f, 0.0769231f, 0.0782269f, 0.0795306f, 0.0808344f,
         0.0821382f, 0.0834420f, 0.0847458f, 0.0860495f, 0.0873533f, 0.0886571f, 0.0899609f,
         0.0912647f, 0.0925684f, 0.0938722f, 0.0951760f, 0.0964798f, 0.0977836f, 0.0990874f,
         0.1003911f, 0.1016949f, 0.1029987f, 0.1043025f, 0.1056063f, 0.1069100f, 0.1082138f,
         0.1095176f, 0.1108214f, 0.1121252f, 0.1134289f, 0.1147327f, 0.1160365f, 0.1173403f,
         0.1186441f, 0.1199479f, 0.1212516f, 0.1225554f, 0.1238592f, 0.1251630f, 0.1264668f,
         0.1277705f, 0.1290743f, 0.1303781f, 0.1316819f, 0.1329857f, 0.1342894f, 0.1355932f,
         0.1368970f, 0.1382008f, 0.1395046f, 0.1408083f, 0.1421121f, 0.1434159f, 0.1447197f,
         0.1460235f, 0.1473272f, 0.1486310f, 0.1499348f, 0.1512386f, 0.1525424f, 0.1538462f,
         0.1551499f, 0.1564537f, 0.1577575f, 0.1590613f, 0.1603651f, 0.1616688f, 0.1629726f,
         0.1642764f, 0.1655802f, 0.1668840f, 0.1681877f, 0.1694915f, 0.1707953f, 0.1720991f,
         0.1734029f, 0.1747067f, 0.1760104f, 0.1773142f, 0.1786180f, 0.1799218f, 0.1812256f,
         0.1825293f, 0.1838331f, 0.1851369f, 0.1864407f, 0.1877445f, 0.1890482f, 0.1903520f,
         0.1916558f, 0.1929596f, 0.1942634f, 0.1955671f, 0.1968709f, 0.1981747f, 0.1994785f,
         0.2007823f, 0.2020860f, 0.2033898f, 0.2046936f, 0.2059974f, 0.2073012f, 0.2086050f,
         0.2099087f, 0.2112125f, 0.2125163f, 0.2138201f, 0.2151239f, 0.2164276f, 0.2177314f,
         0.2190352f, 0.2203390f, 0.2216428f, 0.2229465f, 0.2242503f, 0.2255541f, 0.2268579f,
         0.2281617f, 0.2294655f, 0.2307692f, 0.2320730f, 0.2333768f, 0.2346806f, 0.2359844f,
         0.2372881f, 0.2385919f, 0.2398957f, 0.2411995f, 0.2425033f, 0.2438070f, 0.2451108f,
         0.2464146f, 0.2477184f, 0.2490222f, 0.2503259f, 0.2516297f, 0.2529335f, 0.2542373f,
         0.2555411f, 0.2568448f, 0.2581486f, 0.2594524f, 0.2607562f, 0.2620600f, 0.2633637f,
         0.2646675f, 0.2659713f, 0.2672751f, 0.2685789f, 0.2698826f, 0.2711864f, 0.2724902f,
         0.2737940f, 0.2750978f, 0.2764016f, 0.2777053f, 0.2790091f, 0.2803129f, 0.2816167f,
         0.2829205f, 0.2842242f, 0.2855280f, 0.2868318f, 0.2881356f, 0.2894394f, 0.2907431f,
         0.2920469f, 0.2933507f, 0.2946545f, 0.2959583f, 0.2972621f, 0.2985658f, 0.2998696f,
         0.3011734f, 0.3024772f, 0.3037810f, 0.3050847f, 0.3063885f, 0.3076923f, 0.3089961f,
         0.3102999f, 0.3116037f, 0.3129074f, 0.3142112f, 0.3155150f, 0.3168188f, 0.3181226f,
         0.3194263f, 0.3207301f, 0.3220339f, 0.3233377f, 0.3246415f, 0.3259452f, 0.3272490f,
         0.3285528f, 0.3298566f, 0.3311604f, 0.3324642f, 0.3337679f, 0.3350717f, 0.3363755f,
         0.3376793f, 0.3389831f, 0.3402868f, 0.3415906f, 0.3428944f, 0.3441982f, 0.3455020f,
         0.3468058f, 0.3481095f, 0.3494133f, 0.3507171f, 0.3520209f, 0.3533247f, 0.3546284f,
         0.3559322f, 0.3572360f, 0.3585398f, 0.3598436f, 0.3611473f, 0.3624511f, 0.3637549f,
         0.3650587f, 0.3663625f, 0.3676662f, 0.3689700f, 0.3702738f, 0.3715776f, 0.3728814f,
         0.3741851f, 0.3754889f, 0.3767927f, 0.3780965f, 0.3794003f, 0.3807040f, 0.3820078f,
         0.3833116f, 0.3846154f, 0.3859192f, 0.3872229f, 0.3885267f, 0.3898305f, 0.3911343f,
         0.3924381f, 0.3937418f, 0.3950456f, 0.3963494f, 0.3976532f, 0.3989570f, 0.4002607f,
         0.4015645f, 0.4028683f, 0.4041721f, 0.4054759f, 0.4067796f, 0.4080834f, 0.4093872f,
         0.4106910f, 0.4119948f, 0.4132986f, 0.4146023f, 0.4159061f, 0.4172099f, 0.4185137f,
         0.4198175f, 0.4211212f, 0.4224250f, 0.4237288f, 0.4250326f, 0.4263364f, 0.4276402f,
         0.4289439f, 0.4302477f, 0.4315515f, 0.4328553f, 0.4341591f, 0.4354628f, 0.4367666f,
         0.4380704f, 0.4393742f, 0.4406780f, 0.4419817f, 0.4432855f, 0.4445893f, 0.4458931f,
         0.4471969f, 0.4485007f, 0.4498044f, 0.4511082f, 0.4524120f, 0.4537158f, 0.4550196f,
         0.4563233f, 0.4576271f, 0.4589309f, 0.4602347f, 0.4615385f, 0.4628423f, 0.4641460f,
         0.4654498f, 0.4667536f, 0.4680574f, 0.4693612f, 0.4706649f, 0.4719687f, 0.4732725f,
         0.4745763f, 0.4758801f, 0.4771838f, 0.4784876f, 0.4797914f, 0.4810952f, 0.4823990f,
         0.4837027f, 0.4850065f, 0.4863103f, 0.4876141f, 0.4889179f, 0.4902216f, 0.4915254f,
         0.4928292f, 0.4941330f, 0.4954368f, 0.4967405f, 0.4980443f, 0.4993481f, 0.5006519f,
         0.5019557f, 0.5032595f, 0.5045632f, 0.5058670f, 0.5071708f, 0.5084746f, 0.5097784f,
         0.5110821f, 0.5123859f, 0.5136897f, 0.5149935f, 0.5162973f, 0.5176011f, 0.5189048f,
         0.5202086f, 0.5215124f, 0.5228162f, 0.5241200f, 0.5254237f, 0.5267275f, 0.5280313f,
         0.5293351f, 0.5306389f, 0.5319426f, 0.5332464f, 0.5345502f, 0.5358540f, 0.5371578f,
         0.5384616f, 0.5397653f, 0.5410691f, 0.5423729f, 0.5436767f, 0.5449805f, 0.5462842f,
         0.5475880f, 0.5488918f, 0.5501956f, 0.5514994f, 0.5528032f, 0.5541069f, 0.5554107f,
         0.5567145f, 0.5580183f, 0.5593221f, 0.5606258f, 0.5619296f, 0.5632334f, 0.5645372f,
         0.5658410f, 0.5671447f, 0.5684485f, 0.5697523f, 0.5710561f, 0.5723599f, 0.5736637f,
         0.5749674f, 0.5762712f, 0.5775750f, 0.5788788f, 0.5801826f, 0.5814863f, 0.5827901f,
         0.5840939f, 0.5853977f, 0.5867015f, 0.5880052f, 0.5893090f, 0.5906128f, 0.5919166f,
         0.5932204f, 0.5945241f, 0.5958279f, 0.5971317f, 0.5984355f, 0.5997393f, 0.6010430f,
         0.6023468f, 0.6036506f, 0.6049544f, 0.6062582f, 0.6075619f, 0.6088657f, 0.6101695f,
         0.6114733f, 0.6127771f, 0.6140808f, 0.6153846f, 0.6166884f, 0.6179922f, 0.6192960f,
         0.6205997f, 0.6219035f, 0.6232073f, 0.6245111f, 0.6258149f, 0.6271186f, 0.6284224f,
         0.6297262f, 0.6310300f, 0.6323338f, 0.6336375f, 0.6349413f, 0.6362451f, 0.6375489f,
         0.6388527f, 0.6401564f, 0.6414602f, 0.6427640f, 0.6440678f, 0.6453716f, 0.6466753f,
         0.6479791f, 0.6492829f, 0.6505867f, 0.6518905f, 0.6531942f, 0.6544980f, 0.6558018f,
         0.6571056f, 0.6584094f, 0.6597131f, 0.6610169f, 0.6623207f, 0.6636245f, 0.6649283f,
         0.6662320f, 0.6675358f, 0.6688396f, 0.6701434f, 0.6714472f, 0.6727509f, 0.6740547f,
         0.6753585f, 0.6766623f, 0.6779661f, 0.6792699f, 0.6805736f, 0.6818774f, 0.6831812f,
         0.6844850f, 0.6857888f, 0.6870925f, 0.6883963f, 0.6897001f, 0.6910039f, 0.6923077f,
         0.6936115f, 0.6949152f, 0.6962190f, 0.6975228f, 0.6988266f, 0.7001304f, 0.7014341f,
         0.7027379f, 0.7040417f, 0.7053455f, 0.7066493f, 0.7079530f, 0.7092568f, 0.7105606f,
         0.7118644f, 0.7131682f, 0.7144720f, 0.7157757f, 0.7170795f, 0.7183833f, 0.7196871f,
         0.7209909f, 0.7222946f, 0.7235984f, 0.7249022f, 0.7262060f, 0.7275098f, 0.7288136f,
         0.7301173f, 0.7314211f, 0.7327249f, 0.7340287f, 0.7353325f, 0.7366362f, 0.7379400f,
         0.7392438f, 0.7405476f, 0.7418514f, 0.7431551f, 0.7444589f, 0.7457627f, 0.7470665f,
         0.7483703f, 0.7496741f, 0.7509778f, 0.7522816f, 0.7535854f, 0.7548892f, 0.7561930f,
         0.7574967f, 0.7588005f, 0.7601043f, 0.7614081f, 0.7627119f, 0.7640157f, 0.7653194f,
         0.7666232f, 0.7679270f, 0.7692308f, 0.7705346f, 0.7718383f, 0.7731421f, 0.7744459f,
         0.7757497f, 0.7770535f, 0.7783572f, 0.7796610f, 0.7809648f, 0.7822686f, 0.7835724f,
         0.7848762f, 0.7861799f, 0.7874837f, 0.7887875f, 0.7900913f, 0.7913951f, 0.7926988f,
         0.7940026f, 0.7953064f, 0.7966102f, 0.7979140f, 0.7992178f, 0.8005215f, 0.8018253f,
         0.8031291f, 0.8044329f, 0.8057367f, 0.8070404f, 0.8083442f, 0.8096480f, 0.8109518f,
         0.8122556f, 0.8135593f, 0.8148631f, 0.8161669f, 0.8174707f, 0.8187745f, 0.8200783f,
         0.8213820f, 0.8226858f, 0.8239896f, 0.8252934f, 0.8265972f, 0.8279009f, 0.8292047f,
         0.8305085f, 0.8318123f, 0.8331161f, 0.8344198f, 0.8357236f, 0.8370274f, 0.8383312f,
         0.8396350f, 0.8409387f, 0.8422425f, 0.8435463f, 0.8448501f, 0.8461539f, 0.8474576f,
         0.8487614f, 0.8500652f, 0.8513690f, 0.8526728f, 0.8539765f, 0.8552803f, 0.8565841f,
         0.8578879f, 0.8591917f, 0.8604954f, 0.8617992f, 0.8631030f, 0.8644068f, 0.8657106f,
         0.8670143f, 0.8683181f, 0.8696219f, 0.8709257f, 0.8722295f, 0.8735332f, 0.8748370f,
         0.8761408f, 0.8774446f, 0.8787484f, 0.8800521f, 0.8813559f, 0.8826597f, 0.8839635f,
         0.8852673f, 0.8865710f, 0.8878748f, 0.8891786f, 0.8904824f, 0.8917862f, 0.8930900f,
         0.8943937f, 0.8956975f, 0.8970013f, 0.8983051f, 0.8996089f, 0.9009126f, 0.9022164f,
         0.9035202f, 0.9048240f, 0.9061278f, 0.9074315f, 0.9087353f, 0.9100391f, 0.9113429f,
         0.9126467f, 0.9139504f, 0.9152542f, 0.9165580f, 0.9178618f, 0.9191656f, 0.9204693f,
         0.9217731f, 0.9230769f, 0.9243807f, 0.9256845f, 0.9269882f, 0.9282920f, 0.9295958f,
         0.9308996f, 0.9322034f, 0.9335071f, 0.9348109f, 0.9361147f, 0.9374185f, 0.9387223f,
         0.9400261f, 0.9413298f, 0.9426336f, 0.9439374f, 0.9452412f, 0.9465450f, 0.9478487f,
         0.9491525f, 0.9504563f, 0.9517601f, 0.9530639f, 0.9543676f, 0.9556714f, 0.9569752f,
         0.9582790f, 0.9595828f, 0.9608866f, 0.9621903f, 0.9634941f, 0.9647979f, 0.9661017f,
         0.9674055f, 0.9687092f, 0.9700130f, 0.9713168f, 0.9726206f, 0.9739244f, 0.9752282f,
         0.9765319f, 0.9778357f, 0.9791395f, 0.9804433f, 0.9817471f, 0.9830508f, 0.9843546f,
         0.9856584f, 0.9869622f, 0.9882660f, 0.9895697f, 0.9908735f, 0.9921773f, 0.9934811f,
         0.9947849f, 0.9960887f, 0.9973924f, 0.9986962f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9986962f, 0.9973924f, 0.9960887f, 0.9947849f,
         0.9934811f, 0.9921773f, 0.9908735f, 0.9895697f, 0.9882660f, 0.9869622f, 0.9856584f,
         0.9843546f, 0.9830508f, 0.9817471f, 0.9804433f, 0.9791395f, 0.9778357f, 0.9765319f,
         0.9752282f, 0.9739244f, 0.9726206f, 0.9713168f, 0.9700130f, 0.9687092f, 0.9674055f,
         0.9661017f, 0.9647979f, 0.9634941f, 0.9621903f, 0.9608866f, 0.9595828f, 0.9582790f,
         0.9569752f, 0.9556714f, 0.9543676f, 0.9530639f, 0.9517601f, 0.9504563f, 0.9491525f,
         0.9478487f, 0.9465450f, 0.9452412f, 0.9439374f, 0.9426336f, 0.9413298f, 0.9400260f,
         0.9387223f, 0.9374185f, 0.9361147f, 0.9348109f, 0.9335072f, 0.9322034f, 0.9308996f,
         0.9295958f, 0.9282920f, 0.9269882f, 0.9256845f, 0.9243807f, 0.9230769f, 0.9217731f,
         0.9204693f, 0.9191656f, 0.9178618f, 0.9165580f, 0.9152542f, 0.9139504f, 0.9126467f,
         0.9113429f, 0.9100391f, 0.9087353f, 0.9074315f, 0.9061278f, 0.9048240f, 0.9035202f,
         0.9022164f, 0.9009126f, 0.8996089f, 0.8983051f, 0.8970013f, 0.8956975f, 0.8943937f,
         0.8930900f, 0.8917862f, 0.8904824f, 0.8891786f, 0.8878748f, 0.8865710f, 0.8852673f,
         0.8839635f, 0.8826597f, 0.8813559f, 0.8800521f, 0.8787484f, 0.8774446f, 0.8761408f,
         0.8748370f, 0.8735332f, 0.8722295f, 0.8709257f, 0.8696219f, 0.8683181f, 0.8670143f,
         0.8657106f, 0.8644068f, 0.8631030f, 0.8617992f, 0.8604954f, 0.8591917f, 0.8578879f,
         0.8565841f, 0.8552803f, 0.8539765f, 0.8526728f, 0.8513690f, 0.8500652f, 0.8487614f,
         0.8474576f, 0.8461539f, 0.8448501f, 0.8435463f, 0.8422425f, 0.8409387f, 0.8396350f,
         0.8383312f, 0.8370274f, 0.8357236f, 0.8344198f, 0.8331161f, 0.8318123f, 0.8305085f,
         0.8292047f, 0.8279009f, 0.8265971f, 0.8252934f, 0.8239896f, 0.8226858f, 0.8213820f,
         0.8200783f, 0.8187745f, 0.8174707f, 0.8161669f, 0.8148631f, 0.8135593f, 0.8122556f,
         0.8109518f, 0.8096480f, 0.8083442f, 0.8070405f, 0.8057367f, 0.8044329f, 0.8031291f,
         0.8018253f, 0.8005215f, 0.7992177f, 0.7979140f, 0.7966102f, 0.7953064f, 0.7940026f,
         0.7926989f, 0.7913951f, 0.7900913f, 0.7887875f, 0.7874837f, 0.7861799f, 0.7848761f,
         0.7835724f, 0.7822686f, 0.7809648f, 0.7796610f, 0.7783573f, 0.7770535f, 0.7757497f,
         0.7744459f, 0.7731421f, 0.7718383f, 0.7705345f, 0.7692308f, 0.7679270f, 0.7666232f,
         0.7653194f, 0.7640157f, 0.7627119f, 0.7614081f, 0.7601043f, 0.7588005f, 0.7574967f,
         0.7561929f, 0.7548892f, 0.7535854f, 0.7522816f, 0.7509778f, 0.7496741f, 0.7483703f,
         0.7470665f, 0.7457627f, 0.7444589f, 0.7431551f, 0.7418513f, 0.7405476f, 0.7392438f,
         0.7379400f, 0.7366363f, 0.7353325f, 0.7340287f, 0.7327249f, 0.7314211f, 0.7301173f,
         0.7288135f, 0.7275097f, 0.7262060f, 0.7249022f, 0.7235984f, 0.7222947f, 0.7209909f,
         0.7196871f, 0.7183833f, 0.7170795f, 0.7157757f, 0.7144719f, 0.7131681f, 0.7118644f,
         0.7105606f, 0.7092569f, 0.7079531f, 0.7066493f, 0.7053455f, 0.7040417f, 0.7027379f,
         0.7014341f, 0.7001303f, 0.6988266f, 0.6975228f, 0.6962190f, 0.6949153f, 0.6936115f,
         0.6923077f, 0.6910039f, 0.6897001f, 0.6883963f, 0.6870925f, 0.6857888f, 0.6844850f,
         0.6831812f, 0.6818774f, 0.6805737f, 0.6792699f, 0.6779661f, 0.6766623f, 0.6753585f,
         0.6740547f, 0.6727509f, 0.6714472f, 0.6701434f, 0.6688396f, 0.6675358f, 0.6662321f,
         0.6649283f, 0.6636245f, 0.6623207f, 0.6610169f, 0.6597131f, 0.6584094f, 0.6571056f,
         0.6558018f, 0.6544980f, 0.6531942f, 0.6518905f, 0.6505867f, 0.6492829f, 0.6479791f,
         0.6466753f, 0.6453716f, 0.6440678f, 0.6427640f, 0.6414602f, 0.6401564f, 0.6388527f,
         0.6375489f, 0.6362451f, 0.6349413f, 0.6336375f, 0.6323338f, 0.6310300f, 0.6297262f,
         0.6284224f, 0.6271186f, 0.6258149f, 0.6245111f, 0.6232073f, 0.6219035f, 0.6205997f,
         0.6192960f, 0.6179922f, 0.6166884f, 0.6153846f, 0.6140808f, 0.6127771f, 0.6114733f,
         0.6101695f, 0.6088657f, 0.6075619f, 0.6062582f, 0.6049544f, 0.6036506f, 0.6023468f,
         0.6010430f, 0.5997393f, 0.5984355f, 0.5971317f, 0.5958279f, 0.5945241f, 0.5932204f,
         0.5919166f, 0.5906128f, 0.5893090f, 0.5880052f, 0.5867014f, 0.5853977f, 0.5840939f,
         0.5827901f, 0.5814863f, 0.5801826f, 0.5788788f, 0.5775750f, 0.5762712f, 0.5749674f,
         0.5736636f, 0.5723598f, 0.5710561f, 0.5697523f, 0.5684485f, 0.5671448f, 0.5658410f,
         0.5645372f, 0.5632334f, 0.5619296f, 0.5606258f, 0.5593220f, 0.5580183f, 0.5567145f,
         0.5554107f, 0.5541070f, 0.5528032f, 0.5514994f, 0.5501956f, 0.5488918f, 0.5475880f,
         0.5462842f, 0.5449804f, 0.5436767f, 0.5423729f, 0.5410691f, 0.5397654f, 0.5384616f,
         0.5371578f, 0.5358540f, 0.5345502f, 0.5332464f, 0.5319426f, 0.5306388f, 0.5293351f,
         0.5280313f, 0.5267275f, 0.5254238f, 0.5241200f, 0.5228162f, 0.5215124f, 0.5202086f,
         0.5189048f, 0.5176010f, 0.5162972f, 0.5149935f, 0.5136897f, 0.5123859f, 0.5110822f,
         0.5097784f, 0.5084746f, 0.5071708f, 0.5058670f, 0.5045632f, 0.5032594f, 0.5019556f,
         0.5006519f, 0.4993481f, 0.4980443f, 0.4967405f, 0.4954368f, 0.4941330f, 0.4928292f,
         0.4915254f, 0.4902216f, 0.4889179f, 0.4876141f, 0.4863103f, 0.4850065f, 0.4837027f,
         0.4823989f, 0.4810952f, 0.4797914f, 0.4784876f, 0.4771838f, 0.4758800f, 0.4745763f,
         0.4732725f, 0.4719687f, 0.4706649f, 0.4693611f, 0.4680574f, 0.4667536f, 0.4654498f,
         0.4641460f, 0.4628422f, 0.4615384f, 0.4602347f, 0.4589309f, 0.4576271f, 0.4563233f,
         0.4550195f, 0.4537158f, 0.4524120f, 0.4511082f, 0.4498044f, 0.4485006f, 0.4471968f,
         0.4458931f, 0.4445893f, 0.4432855f, 0.4419817f, 0.4406779f, 0.4393742f, 0.4380704f,
         0.4367666f, 0.4354628f, 0.4341590f, 0.4328553f, 0.4315515f, 0.4302477f, 0.4289439f,
         0.4276401f, 0.4263363f, 0.4250326f, 0.4237288f, 0.4224250f, 0.4211212f, 0.4198174f,
         0.4185137f, 0.4172099f, 0.4159061f, 0.4146023f, 0.4132985f, 0.4119948f, 0.4106910f,
         0.4093872f, 0.4080834f, 0.4067796f, 0.4054759f, 0.4041721f, 0.4028683f, 0.4015645f,
         0.4002607f, 0.3989570f, 0.3976532f, 0.3963494f, 0.3950456f, 0.3937418f, 0.3924381f,
         0.3911343f, 0.3898305f, 0.3885267f, 0.3872229f, 0.3859192f, 0.3846154f, 0.3833116f,
         0.3820078f, 0.3807040f, 0.3794003f, 0.3780965f, 0.3767927f, 0.3754889f, 0.3741851f,
         0.3728814f, 0.3715776f, 0.3702738f, 0.3689700f, 0.3676662f, 0.3663625f, 0.3650587f,
         0.3637549f, 0.3624511f, 0.3611473f, 0.3598436f, 0.3585398f, 0.3572360f, 0.3559322f,
         0.3546284f, 0.3533247f, 0.3520209f, 0.3507171f, 0.3494133f, 0.3481095f, 0.3468058f,
         0.3455020f, 0.3441982f, 0.3428944f, 0.3415906f, 0.3402869f, 0.3389831f, 0.3376793f,
         0.3363755f, 0.3350717f, 0.3337680f, 0.3324642f, 0.3311604f, 0.3298566f, 0.3285528f,
         0.3272491f, 0.3259453f, 0.3246415f, 0.3233377f, 0.3220339f, 0.3207301f, 0.3194264f,
         0.3181226f, 0.3168188f, 0.3155150f, 0.3142112f, 0.3129075f, 0.3116037f, 0.3102999f,
         0.3089961f, 0.3076923f, 0.3063885f, 0.3050848f, 0.3037810f, 0.3024772f, 0.3011734f,
         0.2998696f, 0.2985659f, 0.2972621f, 0.2959583f, 0.2946545f, 0.2933507f, 0.2920470f,
         0.2907432f, 0.2894394f, 0.2881356f, 0.2868318f, 0.2855280f, 0.2842243f, 0.2829205f,
         0.2816167f, 0.2803129f, 0.2790091f, 0.2777054f, 0.2764016f, 0.2750978f, 0.2737940f,
         0.2724902f, 0.2711864f, 0.2698827f, 0.2685789f, 0.2672751f, 0.2659713f, 0.2646675f,
         0.2633638f, 0.2620600f, 0.2607562f, 0.2594524f, 0.2581486f, 0.2568449f, 0.2555411f,
         0.2542373f, 0.2529335f, 0.2516297f, 0.2503259f, 0.2490222f, 0.2477184f, 0.2464146f,
         0.2451108f, 0.2438070f, 0.2425033f, 0.2411995f, 0.2398957f, 0.2385919f, 0.2372881f,
         0.2359843f, 0.2346806f, 0.2333768f, 0.2320730f, 0.2307692f, 0.2294654f, 0.2281617f,
         0.2268579f, 0.2255541f, 0.2242503f, 0.2229465f, 0.2216428f, 0.2203390f, 0.2190352f,
         0.2177314f, 0.2164276f, 0.2151238f, 0.2138201f, 0.2125163f, 0.2112125f, 0.2099087f,
         0.2086049f, 0.2073012f, 0.2059974f, 0.2046936f, 0.2033898f, 0.2020860f, 0.2007822f,
         0.1994785f, 0.1981747f, 0.1968709f, 0.1955671f, 0.1942633f, 0.1929596f, 0.1916558f,
         0.1903520f, 0.1890482f, 0.1877444f, 0.1864407f, 0.1851369f, 0.1838331f, 0.1825293f,
         0.1812255f, 0.1799217f, 0.1786180f, 0.1773142f, 0.1760104f, 0.1747066f, 0.1734028f,
         0.1720991f, 0.1707953f, 0.1694915f, 0.1681877f, 0.1668839f, 0.1655802f, 0.1642764f,
         0.1629726f, 0.1616688f, 0.1603650f, 0.1590613f, 0.1577575f, 0.1564537f, 0.1551499f,
         0.1538461f, 0.1525424f, 0.1512386f, 0.1499348f, 0.1486310f, 0.1473272f, 0.1460235f,
         0.1447197f, 0.1434159f, 0.1421121f, 0.1408083f, 0.1395046f, 0.1382008f, 0.1368970f,
         0.1355932f, 0.1342894f, 0.1329857f, 0.1316819f, 0.1303781f, 0.1290743f, 0.1277705f,
         0.1264668f, 0.1251630f, 0.1238592f, 0.1225554f, 0.1212516f, 0.1199479f, 0.1186441f,
         0.1173403f, 0.1160365f, 0.1147327f, 0.1134290f, 0.1121252f, 0.1108214f, 0.1095176f,
         0.1082138f, 0.1069100f, 0.1056063f, 0.1043025f, 0.1029987f, 0.1016949f, 0.1003911f,
         0.0990874f, 0.0977836f, 0.0964798f, 0.0951760f, 0.0938722f, 0.0925685f, 0.0912647f,
         0.0899609f, 0.0886571f, 0.0873533f, 0.0860496f, 0.0847458f, 0.0834420f, 0.0821382f,
         0.0808344f, 0.0795307f, 0.0782269f, 0.0769231f, 0.0756193f, 0.0743155f, 0.0730118f,
         0.0717080f, 0.0704042f, 0.0691004f, 0.0677966f, 0.0664929f, 0.0651891f, 0.0638853f,
         0.0625815f, 0.0612777f, 0.0599739f, 0.0586702f, 0.0573664f, 0.0560626f, 0.0547588f,
         0.0534550f, 0.0521513f, 0.0508475f, 0.0495437f, 0.0482399f, 0.0469361f, 0.0456324f,
         0.0443286f, 0.0430248f, 0.0417210f, 0.0404172f, 0.0391134f, 0.0378097f, 0.0365059f,
         0.0352021f, 0.0338983f, 0.0325945f, 0.0312908f, 0.0299870f, 0.0286832f, 0.0273794f,
         0.0260756f, 0.0247718f, 0.0234681f, 0.0221643f, 0.0208605f, 0.0195567f, 0.0182529f,
         0.0169492f, 0.0156454f, 0.0143416f, 0.0130378f, 0.0117340f, 0.0104303f, 0.0091265f,
         0.0078227f, 0.0065189f, 0.0052151f, 0.0039113f, 0.0026076f, 0.0013038f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0009775f, 0.0019550f, 0.0029326f, 0.0039101f, 0.0048876f, 0.0058651f,
         0.0068426f, 0.0078201f, 0.0087977f, 0.0097752f, 0.0107527f, 0.0117302f, 0.0127077f,
         0.0136852f, 0.0146628f, 0.0156403f, 0.0166178f, 0.0175953f, 0.0185728f, 0.0195503f,
         0.0205279f, 0.0215054f, 0.0224829f, 0.0234604f, 0.0244379f, 0.0254154f, 0.0263930f,
         0.0273705f, 0.0283480f, 0.0293255f, 0.0303030f, 0.0312805f, 0.0322581f, 0.0332356f,
         0.0342131f, 0.0351906f, 0.0361681f, 0.0371457f, 0.0381232f, 0.0391007f, 0.0400782f,
         0.0410557f, 0.0420332f, 0.0430108f, 0.0439883f, 0.0449658f, 0.0459433f, 0.0469208f,
         0.0478983f, 0.0488759f, 0.0498534f, 0.0508309f, 0.0518084f, 0.0527859f, 0.0537634f,
         0.0547410f, 0.0557185f, 0.0566960f, 0.0576735f, 0.0586510f, 0.0596285f, 0.0606061f,
         0.0615836f, 0.0625611f, 0.0635386f, 0.0645161f, 0.0654936f, 0.0664712f, 0.0674487f,
         0.0684262f, 0.0694037f, 0.0703812f, 0.0713587f, 0.0723363f, 0.0733138f, 0.0742913f,
         0.0752688f, 0.0762463f, 0.0772239f, 0.0782014f, 0.0791789f, 0.0801564f, 0.0811339f,
         0.0821114f, 0.0830890f, 0.0840665f, 0.0850440f, 0.0860215f, 0.0869990f, 0.0879765f,
         0.0889541f, 0.0899316f, 0.0909091f, 0.0918866f, 0.0928641f, 0.0938416f, 0.0948192f,
         0.0957967f, 0.0967742f, 0.0977517f, 0.0987292f, 0.0997067f, 0.1006843f, 0.1016618f,
         0.1026393f, 0.1036168f, 0.1045943f, 0.1055719f, 0.1065494f, 0.1075269f, 0.1085044f,
         0.1094819f, 0.1104594f, 0.1114369f, 0.1124145f, 0.1133920f, 0.1143695f, 0.1153470f,
         0.1163245f, 0.1173021f, 0.1182796f, 0.1192571f, 0.1202346f, 0.1212121f, 0.1221896f,
         0.1231672f, 0.1241447f, 0.1251222f, 0.1260997f, 0.1270772f, 0.1280547f, 0.1290323f,
         0.1300098f, 0.1309873f, 0.1319648f, 0.1329423f, 0.1339198f, 0.1348974f, 0.1358749f,
         0.1368524f, 0.1378299f, 0.1388074f, 0.1397849f, 0.1407625f, 0.1417400f, 0.1427175f,
         0.1436950f, 0.1446725f, 0.1456500f, 0.1466276f, 0.1476051f, 0.1485826f, 0.1495601f,
         0.1505376f, 0.1515152f, 0.1524927f, 0.1534702f, 0.1544477f, 0.1554252f, 0.1564027f,
         0.1573803f, 0.1583578f, 0.1593353f, 0.1603128f, 0.1612903f, 0.1622678f, 0.1632454f,
         0.1642229f, 0.1652004f, 0.1661779f, 0.1671554f, 0.1681329f, 0.1691105f, 0.1700880f,
         0.1710655f, 0.1720430f, 0.1730205f, 0.1739980f, 0.1749756f, 0.1759531f, 0.1769306f,
         0.1779081f, 0.1788856f, 0.1798632f, 0.1808407f, 0.1818182f, 0.1827957f, 0.1837732f,
         0.1847507f, 0.1857283f, 0.1867058f, 0.1876833f, 0.1886608f, 0.1896383f, 0.1906158f,
         0.1915933f, 0.1925709f, 0.1935484f, 0.1945259f, 0.1955034f, 0.1964809f, 0.1974585f,
         0.1984360f, 0.1994135f, 0.2003910f, 0.2013685f, 0.2023460f, 0.2033236f, 0.2043011f,
         0.2052786f, 0.2062561f, 0.2072336f, 0.2082111f, 0.2091887f, 0.2101662f, 0.2111437f,
         0.2121212f, 0.2130987f, 0.2140763f, 0.2150538f, 0.2160313f, 0.2170088f, 0.2179863f,
         0.2189638f, 0.2199413f, 0.2209189f, 0.2218964f, 0.2228739f, 0.2238514f, 0.2248289f,
         0.2258064f, 0.2267840f, 0.2277615f, 0.2287390f, 0.2297165f, 0.2306940f, 0.2316716f,
         0.2326491f, 0.2336266f, 0.2346041f, 0.2355816f, 0.2365591f, 0.2375367f, 0.2385142f,
         0.2394917f, 0.2404692f, 0.2414467f, 0.2424242f, 0.2434018f, 0.2443793f, 0.2453568f,
         0.2463343f, 0.2473118f, 0.2482893f, 0.2492669f, 0.2502444f, 0.2512219f, 0.2521994f,
         0.2531769f, 0.2541544f, 0.2551320f, 0.2561095f, 0.2570870f, 0.2580645f, 0.2590420f,
         0.2600195f, 0.2609971f, 0.2619746f, 0.2629521f, 0.2639296f, 0.2649071f, 0.2658847f,
         0.2668622f, 0.2678397f, 0.2688172f, 0.2697947f, 0.2707722f, 0.2717498f, 0.2727273f,
         0.2737048f, 0.2746823f, 0.2756598f, 0.2766373f, 0.2776149f, 0.2785924f, 0.2795699f,
         0.2805474f, 0.2815249f, 0.2825024f, 0.2834800f, 0.2844575f, 0.2854350f, 0.2864125f,
         0.2873900f, 0.2883675f, 0.2893451f, 0.2903226f, 0.2913001f, 0.2922776f, 0.2932551f,
         0.2942326f, 0.2952102f, 0.2961877f, 0.2971652f, 0.2981427f, 0.2991202f, 0.3000978f,
         0.3010753f, 0.3020528f, 0.3030303f, 0.3040078f, 0.3049853f, 0.3059629f, 0.3069404f,
         0.3079179f, 0.3088954f, 0.3098729f, 0.3108504f, 0.3118280f, 0.3128055f, 0.3137830f,
         0.3147605f, 0.3157380f, 0.3167155f, 0.3176931f, 0.3186706f, 0.3196481f, 0.3206256f,
         0.3216031f, 0.3225806f, 0.3235582f, 0.3245357f, 0.3255132f, 0.3264907f, 0.3274682f,
         0.3284458f, 0.3294233f, 0.3304008f, 0.3313783f, 0.3323558f, 0.3333333f, 0.3343109f,
         0.3352884f, 0.3362659f, 0.3372434f, 0.3382209f, 0.3391984f, 0.3401760f, 0.3411535f,
         0.3421310f, 0.3431085f, 0.3440860f, 0.3450635f, 0.3460411f, 0.3470186f, 0.3479961f,
         0.3489736f, 0.3499511f, 0.3509286f, 0.3519062f, 0.3528837f, 0.3538612f, 0.3548387f,
         0.3558162f, 0.3567937f, 0.3577712f, 0.3587488f, 0.3597263f, 0.3607038f, 0.3616813f,
         0.3626589f, 0.3636364f, 0.3646139f, 0.3655914f, 0.3665689f, 0.3675464f, 0.3685240f,
         0.3695015f, 0.3704790f, 0.3714565f, 0.3724340f, 0.3734115f, 0.3743891f, 0.3753666f,
         0.3763441f, 0.3773216f, 0.3782991f, 0.3792766f, 0.3802541f, 0.3812317f, 0.3822092f,
         0.3831867f, 0.3841642f, 0.3851417f, 0.3861192f, 0.3870968f, 0.3880743f, 0.3890518f,
         0.3900293f, 0.3910069f, 0.3919844f, 0.3929619f, 0.3939394f, 0.3949169f, 0.3958944f,
         0.3968720f, 0.3978495f, 0.3988270f, 0.3998045f, 0.4007820f, 0.4017595f, 0.4027371f,
         0.4037146f, 0.4046921f, 0.4056696f, 0.4066471f, 0.4076246f, 0.4086021f, 0.4095797f,
         0.4105572f, 0.4115347f, 0.4125122f, 0.4134897f, 0.4144672f, 0.4154448f, 0.4164223f,
         0.4173998f, 0.4183773f, 0.4193548f, 0.4203323f, 0.4213099f, 0.4222874f, 0.4232649f,
         0.4242424f, 0.4252200f, 0.4261975f, 0.4271750f, 0.4281525f, 0.4291300f, 0.4301075f,
         0.4310851f, 0.4320626f, 0.4330401f, 0.4340176f, 0.4349951f, 0.4359726f, 0.4369501f,
         0.4379277f, 0.4389052f, 0.4398827f, 0.4408602f, 0.4418377f, 0.4428152f, 0.4437928f,
         0.4447703f, 0.4457478f, 0.4467253f, 0.4477028f, 0.4486803f, 0.4496579f, 0.4506354f,
         0.4516129f, 0.4525904f, 0.4535680f, 0.4545455f, 0.4555230f, 0.4565005f, 0.4574780f,
         0.4584555f, 0.4594330f, 0.4604106f, 0.4613881f, 0.4623656f, 0.4633431f, 0.4643206f,
         0.4652981f, 0.4662757f, 0.4672532f, 0.4682307f, 0.4692082f, 0.4701857f, 0.4711632f,
         0.4721408f, 0.4731183f, 0.4740958f, 0.4750733f, 0.4760508f, 0.4770283f, 0.4780059f,
         0.4789834f, 0.4799609f, 0.4809384f, 0.4819159f, 0.4828934f, 0.4838710f, 0.4848485f,
         0.4858260f, 0.4868035f, 0.4877810f, 0.4887586f, 0.4897361f, 0.4907136f, 0.4916911f,
         0.4926686f, 0.4936461f, 0.4946237f, 0.4956012f, 0.4965787f, 0.4975562f, 0.4985337f,
         0.4995112f, 0.5004888f, 0.5014663f, 0.5024438f, 0.5034213f, 0.5043988f, 0.5053763f,
         0.5063539f, 0.5073314f, 0.5083089f, 0.5092864f, 0.5102639f, 0.5112414f, 0.5122190f,
         0.5131965f, 0.5141740f, 0.5151515f, 0.5161290f, 0.5171065f, 0.5180840f, 0.5190616f,
         0.5200391f, 0.5210166f, 0.5219941f, 0.5229716f, 0.5239491f, 0.5249267f, 0.5259042f,
         0.5268817f, 0.5278592f, 0.5288367f, 0.5298142f, 0.5307918f, 0.5317693f, 0.5327469f,
         0.5337244f, 0.5347019f, 0.5356794f, 0.5366569f, 0.5376344f, 0.5386119f, 0.5395895f,
         0.5405670f, 0.5415445f, 0.5425220f, 0.5434995f, 0.5444770f, 0.5454546f, 0.5464321f,
         0.5474096f, 0.5483871f, 0.5493646f, 0.5503421f, 0.5513197f, 0.5522972f, 0.5532747f,
         0.5542522f, 0.5552297f, 0.5562072f, 0.5571848f, 0.5581623f, 0.5591398f, 0.5601173f,
         0.5610948f, 0.5620723f, 0.5630499f, 0.5640274f, 0.5650049f, 0.5659824f, 0.5669599f,
         0.5679374f, 0.5689149f, 0.5698925f, 0.5708700f, 0.5718475f, 0.5728250f, 0.5738025f,
         0.5747800f, 0.5757576f, 0.5767351f, 0.5777126f, 0.5786901f, 0.5796676f, 0.5806451f,
         0.5816227f, 0.5826002f, 0.5835777f, 0.5845552f, 0.5855327f, 0.5865102f, 0.5874878f,
         0.5884653f, 0.5894428f, 0.5904203f, 0.5913978f, 0.5923753f, 0.5933529f, 0.5943304f,
         0.5953079f, 0.5962855f, 0.5972630f, 0.5982405f, 0.5992180f, 0.6001955f, 0.6011730f,
         0.6021506f, 0.6031281f, 0.6041056f, 0.6050831f, 0.6060606f, 0.6070381f, 0.6080157f,
         0.6089932f, 0.6099707f, 0.6109482f, 0.6119257f, 0.6129032f, 0.6138808f, 0.6148583f,
         0.6158358f, 0.6168133f, 0.6177908f, 0.6187683f, 0.6197459f, 0.6207234f, 0.6217009f,
         0.6226784f, 0.6236559f, 0.6246334f, 0.6256109f, 0.6265885f, 0.6275660f, 0.6285435f,
         0.6295210f, 0.6304985f, 0.6314760f, 0.6324536f, 0.6334311f, 0.6344086f, 0.6353861f,
         0.6363636f, 0.6373411f, 0.6383187f, 0.6392962f, 0.6402737f, 0.6412512f, 0.6422287f,
         0.6432062f, 0.6441838f, 0.6451613f, 0.6461388f, 0.6471163f, 0.6480938f, 0.6490713f,
         0.6500489f, 0.6510264f, 0.6520039f, 0.6529814f, 0.6539589f, 0.6549364f, 0.6559139f,
         0.6568915f, 0.6578690f, 0.6588466f, 0.6598241f, 0.6608016f, 0.6617791f, 0.6627566f,
         0.6637341f, 0.6647117f, 0.6656892f, 0.6666667f, 0.6676442f, 0.6686217f, 0.6695992f,
         0.6705768f, 0.6715543f, 0.6725318f, 0.6735093f, 0.6744868f, 0.6754643f, 0.6764418f,
         0.6774194f, 0.6783969f, 0.6793744f, 0.6803519f, 0.6813294f, 0.6823069f, 0.6832845f,
         0.6842620f, 0.6852395f, 0.6862170f, 0.6871945f, 0.6881720f, 0.6891496f, 0.6901271f,
         0.6911046f, 0.6920821f, 0.6930596f, 0.6940371f, 0.6950147f, 0.6959922f, 0.6969697f,
         0.6979472f, 0.6989247f, 0.6999022f, 0.7008798f, 0.7018573f, 0.7028348f, 0.7038123f,
         0.7047898f, 0.7057673f, 0.7067448f, 0.7077224f, 0.7086999f, 0.7096774f, 0.7106549f,
         0.7116324f, 0.7126099f, 0.7135875f, 0.7145650f, 0.7155425f, 0.7165200f, 0.7174975f,
         0.7184750f, 0.7194526f, 0.7204301f, 0.7214077f, 0.7223852f, 0.7233627f, 0.7243402f,
         0.7253177f, 0.7262952f, 0.7272727f, 0.7282503f, 0.7292278f, 0.7302053f, 0.7311828f,
         0.7321603f, 0.7331378f, 0.7341154f, 0.7350929f, 0.7360704f, 0.7370479f, 0.7380254f,
         0.7390029f, 0.7399805f, 0.7409580f, 0.7419355f, 0.7429130f, 0.7438905f, 0.7448680f,
         0.7458456f, 0.7468231f, 0.7478006f, 0.7487781f, 0.7497556f, 0.7507331f, 0.7517107f,
         0.7526882f, 0.7536657f, 0.7546432f, 0.7556207f, 0.7565982f, 0.7575758f, 0.7585533f,
         0.7595308f, 0.7605083f, 0.7614858f, 0.7624633f, 0.7634408f, 0.7644184f, 0.7653959f,
         0.7663734f, 0.7673509f, 0.7683284f, 0.7693059f, 0.7702835f, 0.7712610f, 0.7722385f,
         0.7732160f, 0.7741935f, 0.7751710f, 0.7761486f, 0.7771261f, 0.7781036f, 0.7790811f,
         0.7800586f, 0.7810361f, 0.7820137f, 0.7829912f, 0.7839687f, 0.7849463f, 0.7859238f,
         0.7869013f, 0.7878788f, 0.7888563f, 0.7898338f, 0.7908114f, 0.7917889f, 0.7927664f,
         0.7937439f, 0.7947214f, 0.7956989f, 0.7966765f, 0.7976540f, 0.7986315f, 0.7996090f,
         0.8005865f, 0.8015640f, 0.8025416f, 0.8035191f, 0.8044966f, 0.8054741f, 0.8064516f,
         0.8074291f, 0.8084067f, 0.8093842f, 0.8103617f, 0.8113392f, 0.8123167f, 0.8132942f,
         0.8142717f, 0.8152493f, 0.8162268f, 0.8172043f, 0.8181818f, 0.8191593f, 0.8201368f,
         0.8211144f, 0.8220919f, 0.8230694f, 0.8240469f, 0.8250244f, 0.8260019f, 0.8269795f,
         0.8279570f, 0.8289345f, 0.8299120f, 0.8308895f, 0.8318670f, 0.8328446f, 0.8338221f,
         0.8347996f, 0.8357771f, 0.8367546f, 0.8377321f, 0.8387097f, 0.8396872f, 0.8406647f,
         0.8416422f, 0.8426197f, 0.8435972f, 0.8445748f, 0.8455523f, 0.8465298f, 0.8475074f,
         0.8484849f, 0.8494624f, 0.8504399f, 0.8514174f, 0.8523949f, 0.8533725f, 0.8543500f,
         0.8553275f, 0.8563050f, 0.8572825f, 0.8582600f, 0.8592376f, 0.8602151f, 0.8611926f,
         0.8621701f, 0.8631476f, 0.8641251f, 0.8651026f, 0.8660802f, 0.8670577f, 0.8680352f,
         0.8690127f, 0.8699902f, 0.8709677f, 0.8719453f, 0.8729228f, 0.8739003f, 0.8748778f,
         0.8758553f, 0.8768328f, 0.8778104f, 0.8787879f, 0.8797654f, 0.8807429f, 0.8817204f,
         0.8826979f, 0.8836755f, 0.8846530f, 0.8856305f, 0.8866080f, 0.8875855f, 0.8885630f,
         0.8895406f, 0.8905181f, 0.8914956f, 0.8924731f, 0.8934506f, 0.8944281f, 0.8954057f,
         0.8963832f, 0.8973607f, 0.8983382f, 0.8993157f, 0.9002932f, 0.9012707f, 0.9022483f,
         0.9032258f, 0.9042033f, 0.9051808f, 0.9061583f, 0.9071359f, 0.9081134f, 0.9090909f,
         0.9100685f, 0.9110460f, 0.9120235f, 0.9130010f, 0.9139785f, 0.9149560f, 0.9159335f,
         0.9169111f, 0.9178886f, 0.9188661f, 0.9198436f, 0.9208211f, 0.9217986f, 0.9227762f,
         0.9237537f, 0.9247312f, 0.9257087f, 0.9266862f, 0.9276637f, 0.9286413f, 0.9296188f,
         0.9305963f, 0.9315738f, 0.9325513f, 0.9335288f, 0.9345064f, 0.9354839f, 0.9364614f,
         0.9374389f, 0.9384164f, 0.9393939f, 0.9403715f, 0.9413490f, 0.9423265f, 0.9433040f,
         0.9442815f, 0.9452590f, 0.9462366f, 0.9472141f, 0.9481916f, 0.9491691f, 0.9501466f,
         0.9511241f, 0.9521016f, 0.9530792f, 0.9540567f, 0.9550342f, 0.9560117f, 0.9569892f,
         0.9579667f, 0.9589443f, 0.9599218f, 0.9608993f, 0.9618768f, 0.9628543f, 0.9638318f,
         0.9648094f, 0.9657869f, 0.9667644f, 0.9677419f, 0.9687194f, 0.9696970f, 0.9706745f,
         0.9716520f, 0.9726295f, 0.9736071f, 0.9745846f, 0.9755621f, 0.9765396f, 0.9775171f,
         0.9784946f, 0.9794722f, 0.9804497f, 0.9814272f, 0.9824047f, 0.9833822f, 0.9843597f,
         0.9853373f, 0.9863148f, 0.9872923f, 0.9882698f, 0.9892473f, 0.9902248f, 0.9912024f,
         0.9921799f, 0.9931574f, 0.9941349f, 0.9951124f, 0.9960899f, 0.9970675f, 0.9980450f,
         0.9990225f, 1.0000000f, 1.0000000f, 0.9990225f, 0.9980450f, 0.9970675f, 0.9960899f,
         0.9951124f, 0.9941349f, 0.9931574f, 0.9921799f, 0.9912024f, 0.9902248f, 0.9892473f,
         0.9882698f, 0.9872923f, 0.9863148f, 0.9853373f, 0.9843597f, 0.9833822f, 0.9824047f,
         0.9814272f, 0.9804497f, 0.9794722f, 0.9784946f, 0.9775171f, 0.9765396f, 0.9755621f,
         0.9745846f, 0.9736071f, 0.9726295f, 0.9716520f, 0.9706745f, 0.9696970f, 0.9687195f,
         0.9677420f, 0.9667644f, 0.9657869f, 0.9648094f, 0.9638318f, 0.9628543f, 0.9618768f,
         0.9608993f, 0.9599218f, 0.9589443f, 0.9579667f, 0.9569892f, 0.9560117f, 0.9550342f,
         0.9540567f, 0.9530792f, 0.9521016f, 0.9511241f, 0.9501466f, 0.9491691f, 0.9481916f,
         0.9472141f, 0.9462366f, 0.9452590f, 0.9442815f, 0.9433040f, 0.9423265f, 0.9413490f,
         0.9403715f, 0.9393939f, 0.9384164f, 0.9374389f, 0.9364614f, 0.9354839f, 0.9345064f,
         0.9335288f, 0.9325513f, 0.9315738f, 0.9305963f, 0.9296188f, 0.9286413f, 0.9276637f,
         0.9266862f, 0.9257087f, 0.9247312f, 0.9237537f, 0.9227762f, 0.9217986f, 0.9208211f,
         0.9198436f, 0.9188661f, 0.9178886f, 0.9169111f, 0.9159335f, 0.9149560f, 0.9139785f,
         0.9130010f, 0.9120235f, 0.9110460f, 0.9100684f, 0.9090909f, 0.9081134f, 0.9071358f,
         0.9061583f, 0.9051808f, 0.9042033f, 0.9032258f, 0.9022483f, 0.9012707f, 0.9002932f,
         0.8993157f, 0.8983382f, 0.8973607f, 0.8963832f, 0.8954057f, 0.8944281f, 0.8934506f,
         0.8924731f, 0.8914956f, 0.8905181f, 0.8895406f, 0.8885630f, 0.8875855f, 0.8866080f,
         0.8856305f, 0.8846530f, 0.8836755f, 0.8826979f, 0.8817204f, 0.8807429f, 0.8797654f,
         0.8787879f, 0.8778104f, 0.8768328f, 0.8758553f, 0.8748778f, 0.8739003f, 0.8729228f,
         0.8719453f, 0.8709677f, 0.8699902f, 0.8690127f, 0.8680352f, 0.8670577f, 0.8660802f,
         0.8651026f, 0.8641251f, 0.8631476f, 0.8621701f, 0.8611926f, 0.8602151f, 0.8592376f,
         0.8582600f, 0.8572825f, 0.8563050f, 0.8553275f, 0.8543500f, 0.8533725f, 0.8523949f,
         0.8514174f, 0.8504399f, 0.8494624f, 0.8484849f, 0.8475074f, 0.8465298f, 0.8455523f,
         0.8445748f, 0.8435973f, 0.8426198f, 0.8416423f, 0.8406647f, 0.8396872f, 0.8387097f,
         0.8377322f, 0.8367547f, 0.8357771f, 0.8347996f, 0.8338221f, 0.8328446f, 0.8318670f,
         0.8308895f, 0.8299120f, 0.8289345f, 0.8279570f, 0.8269795f, 0.8260019f, 0.8250244f,
         0.8240469f, 0.8230694f, 0.8220919f, 0.8211144f, 0.8201368f, 0.8191593f, 0.8181818f,
         0.8172043f, 0.8162268f, 0.8152493f, 0.8142717f, 0.8132942f, 0.8123167f, 0.8113392f,
         0.8103617f, 0.8093842f, 0.8084067f, 0.8074291f, 0.8064516f, 0.8054741f, 0.8044966f,
         0.8035191f, 0.8025416f, 0.8015640f, 0.8005865f, 0.7996090f, 0.7986315f, 0.7976540f,
         0.7966765f, 0.7956989f, 0.7947214f, 0.7937439f, 0.7927664f, 0.7917889f, 0.7908114f,
         0.7898338f, 0.7888563f, 0.7878788f, 0.7869012f, 0.7859237f, 0.7849462f, 0.7839687f,
         0.7829912f, 0.7820137f, 0.7810361f, 0.7800586f, 0.7790811f, 0.7781036f, 0.7771261f,
         0.7761486f, 0.7751710f, 0.7741935f, 0.7732160f, 0.7722385f, 0.7712610f, 0.7702835f,
         0.7693059f, 0.7683284f, 0.7673509f, 0.7663734f, 0.7653959f, 0.7644184f, 0.7634408f,
         0.7624633f, 0.7614858f, 0.7605083f, 0.7595308f, 0.7585533f, 0.7575758f, 0.7565982f,
         0.7556207f, 0.7546432f, 0.7536657f, 0.7526882f, 0.7517107f, 0.7507331f, 0.7497556f,
         0.7487781f, 0.7478006f, 0.7468231f, 0.7458456f, 0.7448680f, 0.7438905f, 0.7429130f,
         0.7419355f, 0.7409580f, 0.7399805f, 0.7390029f, 0.7380254f, 0.7370479f, 0.7360704f,
         0.7350929f, 0.7341154f, 0.7331378f, 0.7321603f, 0.7311828f, 0.7302053f, 0.7292278f,
         0.7282503f, 0.7272727f, 0.7262952f, 0.7253177f, 0.7243402f, 0.7233627f, 0.7223852f,
         0.7214077f, 0.7204301f, 0.7194526f, 0.7184751f, 0.7174976f, 0.7165201f, 0.7155426f,
         0.7145650f, 0.7135875f, 0.7126100f, 0.7116325f, 0.7106550f, 0.7096775f, 0.7086999f,
         0.7077224f, 0.7067449f, 0.7057674f, 0.7047899f, 0.7038124f, 0.7028348f, 0.7018573f,
         0.7008798f, 0.6999022f, 0.6989247f, 0.6979472f, 0.6969697f, 0.6959922f, 0.6950147f,
         0.6940371f, 0.6930596f, 0.6920821f, 0.6911046f, 0.6901271f, 0.6891496f, 0.6881720f,
         0.6871945f, 0.6862170f, 0.6852395f, 0.6842620f, 0.6832845f, 0.6823069f, 0.6813294f,
         0.6803519f, 0.6793744f, 0.6783969f, 0.6774194f, 0.6764418f, 0.6754643f, 0.6744868f,
         0.6735093f, 0.6725318f, 0.6715542f, 0.6705767f, 0.6695992f, 0.6686217f, 0.6676441f,
         0.6666666f, 0.6656891f, 0.6647116f, 0.6637341f, 0.6627566f, 0.6617790f, 0.6608015f,
         0.6598240f, 0.6588465f, 0.6578690f, 0.6568915f, 0.6559139f, 0.6549364f, 0.6539589f,
         0.6529814f, 0.6520039f, 0.6510264f, 0.6500489f, 0.6490713f, 0.6480938f, 0.6471163f,
         0.6461388f, 0.6451613f, 0.6441838f, 0.6432062f, 0.6422287f, 0.6412512f, 0.6402737f,
         0.6392962f, 0.6383187f, 0.6373411f, 0.6363636f, 0.6353861f, 0.6344086f, 0.6334311f,
         0.6324536f, 0.6314760f, 0.6304985f, 0.6295210f, 0.6285435f, 0.6275660f, 0.6265885f,
         0.6256109f, 0.6246334f, 0.6236559f, 0.6226784f, 0.6217009f, 0.6207234f, 0.6197459f,
         0.6187683f, 0.6177908f, 0.6168133f, 0.6158358f, 0.6148583f, 0.6138808f, 0.6129032f,
         0.6119257f, 0.6109482f, 0.6099707f, 0.6089932f, 0.6080157f, 0.6070381f, 0.6060606f,
         0.6050831f, 0.6041056f, 0.6031281f, 0.6021506f, 0.6011730f, 0.6001955f, 0.5992180f,
         0.5982405f, 0.5972630f, 0.5962855f, 0.5953079f, 0.5943304f, 0.5933529f, 0.5923754f,
         0.5913979f, 0.5904204f, 0.5894428f, 0.5884653f, 0.5874878f, 0.5865103f, 0.5855328f,
         0.5845553f, 0.5835778f, 0.5826002f, 0.5816227f, 0.5806452f, 0.5796677f, 0.5786902f,
         0.5777126f, 0.5767351f, 0.5757576f, 0.5747800f, 0.5738025f, 0.5728250f, 0.5718475f,
         0.5708700f, 0.5698925f, 0.5689149f, 0.5679374f, 0.5669599f, 0.5659824f, 0.5650049f,
         0.5640274f, 0.5630499f, 0.5620723f, 0.5610948f, 0.5601173f, 0.5591398f, 0.5581623f,
         0.5571848f, 0.5562072f, 0.5552297f, 0.5542522f, 0.5532747f, 0.5522972f, 0.5513197f,
         0.5503421f, 0.5493646f, 0.5483871f, 0.5474096f, 0.5464320f, 0.5454545f, 0.5444770f,
         0.5434995f, 0.5425220f, 0.5415444f, 0.5405669f, 0.5395894f, 0.5386119f, 0.5376344f,
         0.5366569f, 0.5356793f, 0.5347018f, 0.5337243f, 0.5327468f, 0.5317693f, 0.5307918f,
         0.5298142f, 0.5288367f, 0.5278592f, 0.5268817f, 0.5259042f, 0.5249267f, 0.5239491f,
         0.5229716f, 0.5219941f, 0.5210166f, 0.5200391f, 0.5190616f, 0.5180840f, 0.5171065f,
         0.5161290f, 0.5151515f, 0.5141740f, 0.5131965f, 0.5122190f, 0.5112414f, 0.5102639f,
         0.5092864f, 0.5083089f, 0.5073314f, 0.5063539f, 0.5053763f, 0.5043988f, 0.5034213f,
         0.5024438f, 0.5014663f, 0.5004888f, 0.4995112f, 0.4985337f, 0.4975562f, 0.4965787f,
         0.4956012f, 0.4946237f, 0.4936461f, 0.4926686f, 0.4916911f, 0.4907136f, 0.4897361f,
         0.4887586f, 0.4877810f, 0.4868035f, 0.4858260f, 0.4848485f, 0.4838710f, 0.4828935f,
         0.4819160f, 0.4809384f, 0.4799609f, 0.4789834f, 0.4780059f, 0.4770284f, 0.4760509f,
         0.4750733f, 0.4740958f, 0.4731183f, 0.4721408f, 0.4711633f, 0.4701858f, 0.4692082f,
         0.4682307f, 0.4672531f, 0.4662756f, 0.4652981f, 0.4643206f, 0.4633431f, 0.4623656f,
         0.4613881f, 0.4604105f, 0.4594330f, 0.4584555f, 0.4574780f, 0.4565005f, 0.4555230f,
         0.4545454f, 0.4535679f, 0.4525904f, 0.4516129f, 0.4506354f, 0.4496579f, 0.4486803f,
         0.4477028f, 0.4467253f, 0.4457478f, 0.4447703f, 0.4437928f, 0.4428152f, 0.4418377f,
         0.4408602f, 0.4398827f, 0.4389052f, 0.4379277f, 0.4369501f, 0.4359726f, 0.4349951f,
         0.4340176f, 0.4330401f, 0.4320626f, 0.4310851f, 0.4301075f, 0.4291300f, 0.4281525f,
         0.4271750f, 0.4261975f, 0.4252200f, 0.4242424f, 0.4232649f, 0.4222874f, 0.4213099f,
         0.4203324f, 0.4193549f, 0.4183773f, 0.4173998f, 0.4164223f, 0.4154448f, 0.4144673f,
         0.4134898f, 0.4125122f, 0.4115347f, 0.4105572f, 0.4095797f, 0.4086022f, 0.4076247f,
         0.4066471f, 0.4056696f, 0.4046921f, 0.4037145f, 0.4027370f, 0.4017595f, 0.4007820f,
         0.3998045f, 0.3988270f, 0.3978494f, 0.3968719f, 0.3958944f, 0.3949169f, 0.3939394f,
         0.3929619f, 0.3919843f, 0.3910068f, 0.3900293f, 0.3890518f, 0.3880743f, 0.3870968f,
         0.3861192f, 0.3851417f, 0.3841642f, 0.3831867f, 0.3822092f, 0.3812317f, 0.3802541f,
         0.3792766f, 0.3782991f, 0.3773216f, 0.3763441f, 0.3753666f, 0.3743891f, 0.3734115f,
         0.3724340f, 0.3714565f, 0.3704790f, 0.3695015f, 0.3685240f, 0.3675464f, 0.3665689f,
         0.3655914f, 0.3646139f, 0.3636364f, 0.3626589f, 0.3616813f, 0.3607038f, 0.3597263f,
         0.3587488f, 0.3577713f, 0.3567938f, 0.3558162f, 0.3548387f, 0.3538612f, 0.3528837f,
         0.3519062f, 0.3509287f, 0.3499511f, 0.3489736f, 0.3479961f, 0.3470186f, 0.3460411f,
         0.3450636f, 0.3440861f, 0.3431085f, 0.3421310f, 0.3411534f, 0.3401759f, 0.3391984f,
         0.3382209f, 0.3372434f, 0.3362659f, 0.3352883f, 0.3343108f, 0.3333333f, 0.3323558f,
         0.3313783f, 0.3304008f, 0.3294232f, 0.3284457f, 0.3274682f, 0.3264907f, 0.3255132f,
         0.3245357f, 0.3235582f, 0.3225806f, 0.3216031f, 0.3206256f, 0.3196481f, 0.3186706f,
         0.3176931f, 0.3167155f, 0.3157380f, 0.3147605f, 0.3137830f, 0.3128055f, 0.3118280f,
         0.3108504f, 0.3098729f, 0.3088954f, 0.3079179f, 0.3069404f, 0.3059629f, 0.3049853f,
         0.3040078f, 0.3030303f, 0.3020528f, 0.3010753f, 0.3000978f, 0.2991202f, 0.2981427f,
         0.2971652f, 0.2961877f, 0.2952102f, 0.2942327f, 0.2932552f, 0.2922776f, 0.2913001f,
         0.2903226f, 0.2893451f, 0.2883676f, 0.2873901f, 0.2864125f, 0.2854350f, 0.2844575f,
         0.2834800f, 0.2825025f, 0.2815250f, 0.2805474f, 0.2795699f, 0.2785923f, 0.2776148f,
         0.2766373f, 0.2756598f, 0.2746823f, 0.2737048f, 0.2727273f, 0.2717497f, 0.2707722f,
         0.2697947f, 0.2688172f, 0.2678397f, 0.2668622f, 0.2658846f, 0.2649071f, 0.2639296f,
         0.2629521f, 0.2619746f, 0.2609971f, 0.2600195f, 0.2590420f, 0.2580645f, 0.2570870f,
         0.2561095f, 0.2551320f, 0.2541544f, 0.2531769f, 0.2521994f, 0.2512219f, 0.2502444f,
         0.2492669f, 0.2482893f, 0.2473118f, 0.2463343f, 0.2453568f, 0.2443793f, 0.2434018f,
         0.2424242f, 0.2414467f, 0.2404692f, 0.2394917f, 0.2385142f, 0.2375367f, 0.2365592f,
         0.2355816f, 0.2346041f, 0.2336266f, 0.2326491f, 0.2316716f, 0.2306941f, 0.2297165f,
         0.2287390f, 0.2277615f, 0.2267840f, 0.2258065f, 0.2248290f, 0.2238514f, 0.2228739f,
         0.2218964f, 0.2209189f, 0.2199414f, 0.2189639f, 0.2179863f, 0.2170088f, 0.2160313f,
         0.2150537f, 0.2140762f, 0.2130987f, 0.2121212f, 0.2111437f, 0.2101662f, 0.2091886f,
         0.2082111f, 0.2072336f, 0.2062561f, 0.2052786f, 0.2043011f, 0.2033235f, 0.2023460f,
         0.2013685f, 0.2003910f, 0.1994135f, 0.1984360f, 0.1974584f, 0.1964809f, 0.1955034f,
         0.1945259f, 0.1935484f, 0.1925709f, 0.1915933f, 0.1906158f, 0.1896383f, 0.1886608f,
         0.1876833f, 0.1867058f, 0.1857283f, 0.1847507f, 0.1837732f, 0.1827957f, 0.1818182f,
         0.1808407f, 0.1798632f, 0.1788856f, 0.1779081f, 0.1769306f, 0.1759531f, 0.1749756f,
         0.1739981f, 0.1730205f, 0.1720430f, 0.1710655f, 0.1700880f, 0.1691105f, 0.1681330f,
         0.1671554f, 0.1661779f, 0.1652004f, 0.1642229f, 0.1632454f, 0.1622679f, 0.1612903f,
         0.1603128f, 0.1593353f, 0.1583578f, 0.1573803f, 0.1564028f, 0.1554252f, 0.1544477f,
         0.1534702f, 0.1524926f, 0.1515151f, 0.1505376f, 0.1495601f, 0.1485826f, 0.1476051f,
         0.1466275f, 0.1456500f, 0.1446725f, 0.1436950f, 0.1427175f, 0.1417400f, 0.1407624f,
         0.1397849f, 0.1388074f, 0.1378299f, 0.1368524f, 0.1358749f, 0.1348974f, 0.1339198f,
         0.1329423f, 0.1319648f, 0.1309873f, 0.1300098f, 0.1290323f, 0.1280547f, 0.1270772f,
         0.1260997f, 0.1251222f, 0.1241447f, 0.1231672f, 0.1221896f, 0.1212121f, 0.1202346f,
         0.1192571f, 0.1182796f, 0.1173021f, 0.1163245f, 0.1153470f, 0.1143695f, 0.1133920f,
         0.1124145f, 0.1114370f, 0.1104594f, 0.1094819f, 0.1085044f, 0.1075269f, 0.1065494f,
         0.1055719f, 0.1045943f, 0.1036168f, 0.1026393f, 0.1016618f, 0.1006843f, 0.0997068f,
         0.0987293f, 0.0977517f, 0.0967742f, 0.0957967f, 0.0948192f, 0.0938417f, 0.0928641f,
         0.0918866f, 0.0909091f, 0.0899315f, 0.0889540f, 0.0879765f, 0.0869990f, 0.0860215f,
         0.0850440f, 0.0840665f, 0.0830889f, 0.0821114f, 0.0811339f, 0.0801564f, 0.0791789f,
         0.0782014f, 0.0772238f, 0.0762463f, 0.0752688f, 0.0742913f, 0.0733138f, 0.0723363f,
         0.0713587f, 0.0703812f, 0.0694037f, 0.0684262f, 0.0674487f, 0.0664712f, 0.0654936f,
         0.0645161f, 0.0635386f, 0.0625611f, 0.0615836f, 0.0606061f, 0.0596285f, 0.0586510f,
         0.0576735f, 0.0566960f, 0.0557185f, 0.0547410f, 0.0537634f, 0.0527859f, 0.0518084f,
         0.0508309f, 0.0498534f, 0.0488759f, 0.0478984f, 0.0469208f, 0.0459433f, 0.0449658f,
         0.0439883f, 0.0430108f, 0.0420333f, 0.0410557f, 0.0400782f, 0.0391007f, 0.0381232f,
         0.0371457f, 0.0361682f, 0.0351906f, 0.0342131f, 0.0332356f, 0.0322581f, 0.0312806f,
         0.0303030f, 0.0293255f, 0.0283480f, 0.0273705f, 0.0263929f, 0.0254154f, 0.0244379f,
         0.0234604f, 0.0224829f, 0.0215054f, 0.0205278f, 0.0195503f, 0.0185728f, 0.0175953f,
         0.0166178f, 0.0156403f, 0.0146627f, 0.0136852f, 0.0127077f, 0.0117302f, 0.0107527f,
         0.0097752f, 0.0087976f, 0.0078201f, 0.0068426f, 0.0058651f, 0.0048876f, 0.0039101f,
         0.0029325f, 0.0019550f, 0.0009775f, 0.0000000f},
    },
    {
        {1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0006023f, 0.0024076f, 0.0054117f, 0.0096074f, 0.0149844f, 0.0215298f,
         0.0292280f, 0.0380602f, 0.0480053f, 0.0590394f, 0.0711357f, 0.0842652f, 0.0983962f,
         0.1134948f, 0.1295244f, 0.1464466f, 0.1642205f, 0.1828034f, 0.2021503f, 0.2222149f,
         0.2429487f, 0.2643017f, 0.2862225f, 0.3086583f, 0.3315551f, 0.3548577f, 0.3785099f,
         0.4024549f, 0.4266348f, 0.4509914f, 0.4754662f, 0.5000000f, 0.5245339f, 0.5490086f,
         0.5733653f, 0.5975451f, 0.6214901f, 0.6451424f, 0.6684450f, 0.6913418f, 0.7137775f,
         0.7356984f, 0.7570513f, 0.7777852f, 0.7978497f, 0.8171966f, 0.8357795f, 0.8535534f,
         0.8704756f, 0.8865052f, 0.9016038f, 0.9157348f, 0.9288643f, 0.9409606f, 0.9519947f,
         0.9619398f, 0.9707720f, 0.9784702f, 0.9850156f, 0.9903927f, 0.9945883f, 0.9975923f,
         0.9993978f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9993978f, 0.9975923f, 0.9945883f, 0.9903926f,
         0.9850156f, 0.9784702f, 0.9707720f, 0.9619398f, 0.9519947f, 0.9409606f, 0.9288643f,
         0.9157348f, 0.9016038f, 0.8865052f, 0.8704755f, 0.8535534f, 0.8357794f, 0.8171966f,
         0.7978497f, 0.7777851f, 0.7570513f, 0.7356983f, 0.7137775f, 0.6913417f, 0.6684449f,
         0.6451423f, 0.6214901f, 0.5975451f, 0.5733653f, 0.5490085f, 0.5245338f, 0.5000000f,
         0.4754661f, 0.4509914f, 0.4266347f, 0.4024549f, 0.3785099f, 0.3548576f, 0.3315550f,
         0.3086582f, 0.2862225f, 0.2643016f, 0.2429486f, 0.2222148f, 0.2021503f, 0.1828034f,
         0.1642205f, 0.1464466f, 0.1295244f, 0.1134948f, 0.0983962f, 0.0842652f, 0.0711357f,
         0.0590393f, 0.0480053f, 0.0380602f, 0.0292279f, 0.0215298f, 0.0149844f, 0.0096073f,
         0.0054117f, 0.0024076f, 0.0006023f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0001506f, 0.0006023f, 0.0013548f, 0.0024076f, 0.0037602f, 0.0054117f,
         0.0073612f, 0.0096074f, 0.0121489f, 0.0149844f, 0.0181120f, 0.0215298f, 0.0252359f,
         0.0292280f, 0.0335036f, 0.0380602f, 0.0428951f, 0.0480053f, 0.0533879f, 0.0590394f,
         0.0649565f, 0.0711357f, 0.0775732f, 0.0842652f, 0.0912076f, 0.0983962f, 0.1058268f,
         0.1134948f, 0.1213956f, 0.1295244f, 0.1378765f, 0.1464466f, 0.1552297f, 0.1642205f,
         0.1734136f, 0.1828034f, 0.1923842f, 0.2021503f, 0.2120959f, 0.2222149f, 0.2325012f,
         0.2429487f, 0.2535509f, 0.2643017f, 0.2751943f, 0.2862225f, 0.2973794f, 0.3086583f,
         0.3200525f, 0.3315551f, 0.3431592f, 0.3548577f, 0.3666436f, 0.3785099f, 0.3904494f,
         0.4024549f, 0.4145191f, 0.4266348f, 0.4387947f, 0.4509914f, 0.4632178f, 0.4754662f,
         0.4877294f, 0.5000000f, 0.5122706f, 0.5245339f, 0.5367823f, 0.5490086f, 0.5612053f,
         0.5733653f, 0.5854810f, 0.5975451f, 0.6095507f, 0.6214901f, 0.6333565f, 0.6451424f,
         0.6568409f, 0.6684450f, 0.6799475f, 0.6913418f, 0.7026207f, 0.7137775f, 0.7248057f,
         0.7356984f, 0.7464491f, 0.7570513f, 0.7674989f, 0.7777852f, 0.7879041f, 0.7978497f,
         0.8076159f, 0.8171966f, 0.8265864f, 0.8357795f, 0.8447703f, 0.8535534f, 0.8621236f,
         0.8704756f, 0.8786044f, 0.8865052f, 0.8941733f, 0.9016038f, 0.9087924f, 0.9157348f,
         0.9224268f, 0.9288643f, 0.9350435f, 0.9409606f, 0.9466121f, 0.9519947f, 0.9571049f,
         0.9619398f, 0.9664964f, 0.9707720f, 0.9747641f, 0.9784702f, 0.9818881f, 0.9850156f,
         0.9878511f, 0.9903927f, 0.9926388f, 0.9945883f, 0.9962398f, 0.9975923f, 0.9986452f,
         0.9993978f, 0.9998494f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9998494f, 0.9993978f, 0.9986452f, 0.9975923f,
         0.9962398f, 0.9945883f, 0.9926388f, 0.9903926f, 0.9878510f, 0.9850156f, 0.9818881f,
         0.9784702f, 0.9747641f, 0.9707720f, 0.9664964f, 0.9619398f, 0.9571049f, 0.9519947f,
         0.9466121f, 0.9409606f, 0.9350435f, 0.9288643f, 0.9224268f, 0.9157348f, 0.9087924f,
         0.9016038f, 0.8941732f, 0.8865052f, 0.8786044f, 0.8704755f, 0.8621235f, 0.8535534f,
         0.8447703f, 0.8357794f, 0.8265864f, 0.8171966f, 0.8076158f, 0.7978497f, 0.7879041f,
         0.7777851f, 0.7674989f, 0.7570513f, 0.7464491f, 0.7356983f, 0.7248057f, 0.7137775f,
         0.7026206f, 0.6913417f, 0.6799475f, 0.6684449f, 0.6568408f, 0.6451423f, 0.6333564f,
         0.6214901f, 0.6095506f, 0.5975451f, 0.5854809f, 0.5733653f, 0.5612053f, 0.5490085f,
         0.5367823f, 0.5245338f, 0.5122706f, 0.5000000f, 0.4877294f, 0.4754661f, 0.4632177f,
         0.4509914f, 0.4387946f, 0.4266347f, 0.4145190f, 0.4024549f, 0.3904493f, 0.3785099f,
         0.3666436f, 0.3548576f, 0.3431591f, 0.3315550f, 0.3200525f, 0.3086582f, 0.2973793f,
         0.2862225f, 0.2751943f, 0.2643016f, 0.2535509f, 0.2429486f, 0.2325011f, 0.2222148f,
         0.2120959f, 0.2021503f, 0.1923842f, 0.1828034f, 0.1734136f, 0.1642205f, 0.1552297f,
         0.1464466f, 0.1378764f, 0.1295244f, 0.1213956f, 0.1134948f, 0.1058268f, 0.0983962f,
         0.0912076f, 0.0842652f, 0.0775732f, 0.0711357f, 0.0649565f, 0.0590393f, 0.0533879f,
         0.0480053f, 0.0428951f, 0.0380602f, 0.0335036f, 0.0292279f, 0.0252359f, 0.0215298f,
         0.0181120f, 0.0149844f, 0.0121489f, 0.0096073f, 0.0073612f, 0.0054117f, 0.0037602f,
         0.0024076f, 0.0013548f, 0.0006023f, 0.0001506f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0000376f, 0.0001506f, 0.0003388f, 0.0006023f, 0.0009409f, 0.0013548f,
         0.0018437f, 0.0024076f, 0.0030465f, 0.0037602f, 0.0045487f, 0.0054117f, 0.0063493f,
         0.0073612f, 0.0084473f, 0.0096074f, 0.0108413f, 0.0121489f, 0.0135300f, 0.0149844f,
         0.0165118f, 0.0181120f, 0.0197847f, 0.0215298f, 0.0233470f, 0.0252359f, 0.0271963f,
         0.0292280f, 0.0313305f, 0.0335036f, 0.0357470f, 0.0380602f, 0.0404431f, 0.0428951f,
         0.0454160f, 0.0480053f, 0.0506628f, 0.0533879f, 0.0561802f, 0.0590394f, 0.0619650f,
         0.0649565f, 0.0680136f, 0.0711357f, 0.0743224f, 0.0775732f, 0.0808876f, 0.0842652f,
         0.0877054f, 0.0912076f, 0.0947714f, 0.0983962f, 0.1020815f, 0.1058268f, 0.1096314f,
         0.1134948f, 0.1174164f, 0.1213956f, 0.1254318f, 0.1295244f, 0.1336729f, 0.1378765f,
         0.1421346f, 0.1464466f, 0.1508119f, 0.1552297f, 0.1596995f, 0.1642205f, 0.1687921f,
         0.1734136f, 0.1780842f, 0.1828034f, 0.1875703f, 0.1923842f, 0.1972445f, 0.2021503f,
         0.2071011f, 0.2120959f, 0.2171341f, 0.2222149f, 0.2273375f, 0.2325012f, 0.2377052f,
         0.2429487f, 0.2482308f, 0.2535509f, 0.2589082f, 0.2643017f, 0.2697306f, 0.2751943f,
         0.2806919f, 0.2862225f, 0.2917852f, 0.2973794f, 0.3030040f, 0.3086583f, 0.3143414f,
         0.3200525f, 0.3257906f, 0.3315551f, 0.3373449f, 0.3431592f, 0.3489970f, 0.3548577f,
         0.3607402f, 0.3666436f, 0.3725672f, 0.3785099f, 0.3844709f, 0.3904494f, 0.3964443f,
         0.4024549f, 0.4084800f, 0.4145191f, 0.4205710f, 0.4266348f, 0.4327097f, 0.4387947f,
         0.4448889f, 0.4509914f, 0.4571014f, 0.4632178f, 0.4693396f, 0.4754662f, 0.4815964f,
         0.4877294f, 0.4938642f, 0.5000000f, 0.5061358f, 0.5122706f, 0.5184036f, 0.5245339f,
         0.5306604f, 0.5367823f, 0.5428987f, 0.5490086f, 0.5551111f, 0.5612053f, 0.5672904f,
         0.5733653f, 0.5794291f, 0.5854810f, 0.5915200f, 0.5975451f, 0.6035557f, 0.6095507f,
         0.6155291f, 0.6214901f, 0.6274328f, 0.6333565f, 0.6392598f, 0.6451424f, 0.6510030f,
         0.6568409f, 0.6626552f, 0.6684450f, 0.6742094f, 0.6799475f, 0.6856586f, 0.6913418f,
         0.6969960f, 0.7026207f, 0.7082148f, 0.7137775f, 0.7193081f, 0.7248057f, 0.7302694f,
         0.7356984f, 0.7410920f, 0.7464491f, 0.7517692f, 0.7570513f, 0.7622949f, 0.7674989f,
         0.7726625f, 0.7777852f, 0.7828659f, 0.7879041f, 0.7928990f, 0.7978497f, 0.8027556f,
         0.8076159f, 0.8124298f, 0.8171966f, 0.8219157f, 0.8265864f, 0.8312079f, 0.8357795f,
         0.8403006f, 0.8447703f, 0.8491881f, 0.8535534f, 0.8578655f, 0.8621236f, 0.8663272f,
         0.8704756f, 0.8745682f, 0.8786044f, 0.8825836f, 0.8865052f, 0.8903686f, 0.8941733f,
         0.8979185f, 0.9016038f, 0.9052286f, 0.9087924f, 0.9122946f, 0.9157348f, 0.9191124f,
         0.9224268f, 0.9256777f, 0.9288643f, 0.9319865f, 0.9350435f, 0.9380351f, 0.9409606f,
         0.9438199f, 0.9466121f, 0.9493372f, 0.9519947f, 0.9545840f, 0.9571049f, 0.9595569f,
         0.9619398f, 0.9642531f, 0.9664964f, 0.9686695f, 0.9707720f, 0.9728037f, 0.9747641f,
         0.9766530f, 0.9784702f, 0.9802153f, 0.9818881f, 0.9834882f, 0.9850156f, 0.9864700f,
         0.9878511f, 0.9891587f, 0.9903927f, 0.9915527f, 0.9926388f, 0.9936507f, 0.9945883f,
         0.9954513f, 0.9962398f, 0.9969535f, 0.9975923f, 0.9981563f, 0.9986452f, 0.9990591f,
         0.9993978f, 0.9996612f, 0.9998494f, 0.9999623f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9999623f, 0.9998494f, 0.9996612f, 0.9993978f,
         0.9990591f, 0.9986452f, 0.9981563f, 0.9975923f, 0.9969535f, 0.9962398f, 0.9954513f,
         0.9945883f, 0.9936507f, 0.9926388f, 0.9915527f, 0.9903926f, 0.9891587f, 0.9878510f,
         0.9864700f, 0.9850156f, 0.9834882f, 0.9818881f, 0.9802153f, 0.9784702f, 0.9766530f,
         0.9747641f, 0.9728037f, 0.9707720f, 0.9686695f, 0.9664964f, 0.9642531f, 0.9619398f,
         0.9595569f, 0.9571049f, 0.9545840f, 0.9519947f, 0.9493372f, 0.9466121f, 0.9438198f,
         0.9409606f, 0.9380350f, 0.9350435f, 0.9319865f, 0.9288643f, 0.9256776f, 0.9224268f,
         0.9191123f, 0.9157348f, 0.9122946f, 0.9087924f, 0.9052286f, 0.9016038f, 0.8979185f,
         0.8941732f, 0.8903686f, 0.8865052f, 0.8825836f, 0.8786044f, 0.8745682f, 0.8704755f,
         0.8663272f, 0.8621235f, 0.8578654f, 0.8535534f, 0.8491881f, 0.8447703f, 0.8403005f,
         0.8357794f, 0.8312079f, 0.8265864f, 0.8219157f, 0.8171966f, 0.8124297f, 0.8076158f,
         0.8027555f, 0.7978497f, 0.7928989f, 0.7879041f, 0.7828659f, 0.7777851f, 0.7726625f,
         0.7674989f, 0.7622948f, 0.7570513f, 0.7517692f, 0.7464491f, 0.7410918f, 0.7356983f,
         0.7302694f, 0.7248057f, 0.7193081f, 0.7137775f, 0.7082148f, 0.7026206f, 0.6969960f,
         0.6913417f, 0.6856586f, 0.6799475f, 0.6742094f, 0.6684449f, 0.6626551f, 0.6568408f,
         0.6510030f, 0.6451423f, 0.6392598f, 0.6333564f, 0.6274328f, 0.6214901f, 0.6155291f,
         0.6095506f, 0.6035557f, 0.5975451f, 0.5915200f, 0.5854809f, 0.5794290f, 0.5733653f,
         0.5672904f, 0.5612053f, 0.5551111f, 0.5490085f, 0.5428987f, 0.5367823f, 0.5306604f,
         0.5245338f, 0.5184036f, 0.5122706f, 0.5061358f, 0.5000000f, 0.4938642f, 0.4877294f,
         0.4815964f, 0.4754661f, 0.4693396f, 0.4632177f, 0.4571013f, 0.4509914f, 0.4448889f,
         0.4387946f, 0.4327096f, 0.4266347f, 0.4205709f, 0.4145190f, 0.4084800f, 0.4024549f,
         0.3964443f, 0.3904493f, 0.3844709f, 0.3785099f, 0.3725671f, 0.3666436f, 0.3607402f,
         0.3548576f, 0.3489970f, 0.3431591f, 0.3373448f, 0.3315550f, 0.3257906f, 0.3200525f,
         0.3143414f, 0.3086582f, 0.3030040f, 0.2973793f, 0.2917852f, 0.2862225f, 0.2806919f,
         0.2751943f, 0.2697306f, 0.2643016f, 0.2589080f, 0.2535509f, 0.2482308f, 0.2429486f,
         0.2377051f, 0.2325011f, 0.2273374f, 0.2222148f, 0.2171341f, 0.2120959f, 0.2071010f,
         0.2021503f, 0.1972444f, 0.1923842f, 0.1875702f, 0.1828034f, 0.1780842f, 0.1734136f,
         0.1687921f, 0.1642205f, 0.1596994f, 0.1552297f, 0.1508119f, 0.1464466f, 0.1421346f,
         0.1378764f, 0.1336728f, 0.1295244f, 0.1254317f, 0.1213956f, 0.1174164f, 0.1134948f,
         0.1096314f, 0.1058268f, 0.1020815f, 0.0983962f, 0.0947714f, 0.0912076f, 0.0877053f,
         0.0842652f, 0.0808876f, 0.0775732f, 0.0743223f, 0.0711357f, 0.0680136f, 0.0649565f,
         0.0619649f, 0.0590393f, 0.0561801f, 0.0533879f, 0.0506628f, 0.0480053f, 0.0454160f,
         0.0428951f, 0.0404431f, 0.0380602f, 0.0357470f, 0.0335036f, 0.0313305f, 0.0292279f,
         0.0271963f, 0.0252359f, 0.0233470f, 0.0215298f, 0.0197847f, 0.0181120f, 0.0165118f,
         0.0149844f, 0.0135300f, 0.0121489f, 0.0108413f, 0.0096073f, 0.0084473f, 0.0073612f,
         0.0063493f, 0.0054117f, 0.0045487f, 0.0037602f, 0.0030465f, 0.0024076f, 0.0018437f,
         0.0013548f, 0.0009409f, 0.0006023f, 0.0003388f, 0.0001506f, 0.0000376f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0000167f, 0.0000669f, 0.0001506f, 0.0002677f, 0.0004183f, 0.0006023f,
         0.0008197f, 0.0010705f, 0.0013548f, 0.0016724f, 0.0020233f, 0.0024076f, 0.0028252f,
         0.0032761f, 0.0037602f, 0.0042776f, 0.0048281f, 0.0054117f, 0.0060285f, 0.0066783f,
         0.0073612f, 0.0080770f, 0.0088257f, 0.0096074f, 0.0104218f, 0.0112690f, 0.0121489f,
         0.0130615f, 0.0140067f, 0.0149844f, 0.0159945f, 0.0170371f, 0.0181120f, 0.0192191f,
         0.0203584f, 0.0215298f, 0.0227333f, 0.0239687f, 0.0252359f, 0.0265349f, 0.0278656f,
         0.0292280f, 0.0306218f, 0.0320470f, 0.0335036f, 0.0349914f, 0.0365103f, 0.0380602f,
         0.0396411f, 0.0412528f, 0.0428951f, 0.0445681f, 0.0462715f, 0.0480053f, 0.0497694f,
         0.0515636f, 0.0533879f, 0.0552420f, 0.0571258f, 0.0590394f, 0.0609824f, 0.0629548f,
         0.0649565f, 0.0669873f, 0.0690471f, 0.0711357f, 0.0732530f, 0.0753989f, 0.0775732f,
         0.0797758f, 0.0820065f, 0.0842652f, 0.0865517f, 0.0888659f, 0.0912076f, 0.0935767f,
         0.0959729f, 0.0983962f, 0.1008464f, 0.1033233f, 0.1058268f, 0.1083566f, 0.1109127f,
         0.1134948f, 0.1161028f, 0.1187364f, 0.1213956f, 0.1240801f, 0.1267898f, 0.1295244f,
         0.1322839f, 0.1350680f, 0.1378765f, 0.1407092f, 0.1435660f, 0.1464466f, 0.1493509f,
         0.1522787f, 0.1552297f, 0.1582038f, 0.1612009f, 0.1642205f, 0.1672627f, 0.1703271f,
         0.1734136f, 0.1765219f, 0.1796519f, 0.1828034f, 0.1859761f, 0.1891697f, 0.1923842f,
         0.1956193f, 0.1988747f, 0.2021503f, 0.2054459f, 0.2087612f, 0.2120959f, 0.2154499f,
         0.2188230f, 0.2222149f, 0.2256254f, 0.2290542f, 0.2325012f, 0.2359661f, 0.2394487f,
         0.2429487f, 0.2464659f, 0.2500000f, 0.2535509f, 0.2571183f, 0.2607020f, 0.2643017f,
         0.2679171f, 0.2715481f, 0.2751943f, 0.2788557f, 0.2825318f, 0.2862225f, 0.2899275f,
         0.2936465f, 0.2973794f, 0.3011258f, 0.3048855f, 0.3086583f, 0.3124439f, 0.3162421f,
         0.3200525f, 0.3238750f, 0.3277093f, 0.3315551f, 0.3354121f, 0.3392802f, 0.3431592f,
         0.3470485f, 0.3509481f, 0.3548577f, 0.3587770f, 0.3627057f, 0.3666436f, 0.3705904f,
         0.3745461f, 0.3785099f, 0.3824820f, 0.3864619f, 0.3904494f, 0.3944442f, 0.3984461f,
         0.4024549f, 0.4064701f, 0.4104916f, 0.4145191f, 0.4185523f, 0.4225909f, 0.4266348f,
         0.4306836f, 0.4347369f, 0.4387947f, 0.4428566f, 0.4469222f, 0.4509914f, 0.4550639f,
         0.4591395f, 0.4632178f, 0.4672984f, 0.4713814f, 0.4754662f, 0.4795526f, 0.4836405f,
         0.4877294f, 0.4918192f, 0.4959095f, 0.5000000f, 0.5040906f, 0.5081809f, 0.5122706f,
         0.5163596f, 0.5204474f, 0.5245339f, 0.5286187f, 0.5327016f, 0.5367823f, 0.5408605f,
         0.5449361f, 0.5490086f, 0.5530778f, 0.5571435f, 0.5612053f, 0.5652631f, 0.5693165f,
         0.5733653f, 0.5774091f, 0.5814478f, 0.5854810f, 0.5895085f, 0.5935299f, 0.5975451f,
         0.6015539f, 0.6055558f, 0.6095507f, 0.6135381f, 0.6175181f, 0.6214901f, 0.6254540f,
         0.6294096f, 0.6333565f, 0.6372944f, 0.6412231f, 0.6451424f, 0.6490519f, 0.6529515f,
         0.6568409f, 0.6607198f, 0.6645879f, 0.6684450f, 0.6722907f, 0.6761250f, 0.6799475f,
         0.6837580f, 0.6875561f, 0.6913418f, 0.6951146f, 0.6988742f, 0.7026207f, 0.7063535f,
         0.7100726f, 0.7137775f, 0.7174683f, 0.7211443f, 0.7248057f, 0.7284520f, 0.7320830f,
         0.7356984f, 0.7392980f, 0.7428817f, 0.7464491f, 0.7500000f, 0.7535342f, 0.7570513f,
         0.7605515f, 0.7640339f, 0.7674989f, 0.7709458f, 0.7743747f, 0.7777852f, 0.7811770f,
         0.7845501f, 0.7879041f, 0.7912389f, 0.7945541f, 0.7978497f, 0.8011253f, 0.8043807f,
         0.8076159f, 0.8108303f, 0.8140240f, 0.8171966f, 0.8203481f, 0.8234781f, 0.8265864f,
         0.8296729f, 0.8327373f, 0.8357795f, 0.8387991f, 0.8417962f, 0.8447703f, 0.8477213f,
         0.8506491f, 0.8535534f, 0.8564341f, 0.8592908f, 0.8621236f, 0.8649321f, 0.8677161f,
         0.8704756f, 0.8732102f, 0.8759199f, 0.8786044f, 0.8812636f, 0.8838973f, 0.8865052f,
         0.8890874f, 0.8916434f, 0.8941733f, 0.8966767f, 0.8991536f, 0.9016038f, 0.9040271f,
         0.9064234f, 0.9087924f, 0.9111341f, 0.9134483f, 0.9157348f, 0.9179935f, 0.9202242f,
         0.9224268f, 0.9246011f, 0.9267470f, 0.9288643f, 0.9309529f, 0.9330127f, 0.9350435f,
         0.9370452f, 0.9390176f, 0.9409606f, 0.9428742f, 0.9447581f, 0.9466121f, 0.9484364f,
         0.9502306f, 0.9519947f, 0.9537285f, 0.9554319f, 0.9571049f, 0.9587473f, 0.9603589f,
         0.9619398f, 0.9634897f, 0.9650086f, 0.9664964f, 0.9679530f, 0.9693782f, 0.9707720f,
         0.9721344f, 0.9734651f, 0.9747641f, 0.9760313f, 0.9772667f, 0.9784702f, 0.9796416f,
         0.9807810f, 0.9818881f, 0.9829630f, 0.9840055f, 0.9850156f, 0.9859933f, 0.9869385f,
         0.9878511f, 0.9887310f, 0.9895782f, 0.9903927f, 0.9911743f, 0.9919230f, 0.9926388f,
         0.9933217f, 0.9939715f, 0.9945883f, 0.9951719f, 0.9957224f, 0.9962398f, 0.9967239f,
         0.9971747f, 0.9975923f, 0.9979767f, 0.9983276f, 0.9986452f, 0.9989295f, 0.9991803f,
         0.9993978f, 0.9995817f, 0.9997323f, 0.9998494f, 0.9999331f, 0.9999833f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9999833f, 0.9999331f, 0.9998494f, 0.9997323f,
         0.9995817f, 0.9993978f, 0.9991803f, 0.9989295f, 0.9986452f, 0.9983276f, 0.9979767f,
         0.9975923f, 0.9971747f, 0.9967239f, 0.9962398f, 0.9957224f, 0.9951719f, 0.9945883f,
         0.9939715f, 0.9933217f, 0.9926388f, 0.9919230f, 0.9911742f, 0.9903926f, 0.9895782f,
         0.9887310f, 0.9878510f, 0.9869385f, 0.9859933f, 0.9850156f, 0.9840055f, 0.9829629f,
         0.9818881f, 0.9807809f, 0.9796416f, 0.9784702f, 0.9772667f, 0.9760313f, 0.9747641f,
         0.9734651f, 0.9721344f, 0.9707720f, 0.9693782f, 0.9679530f, 0.9664964f, 0.9650086f,
         0.9634897f, 0.9619398f, 0.9603589f, 0.9587473f, 0.9571049f, 0.9554319f, 0.9537284f,
         0.9519947f, 0.9502306f, 0.9484364f, 0.9466121f, 0.9447581f, 0.9428742f, 0.9409606f,
         0.9390176f, 0.9370452f, 0.9350435f, 0.9330127f, 0.9309529f, 0.9288643f, 0.9267470f,
         0.9246011f, 0.9224268f, 0.9202242f, 0.9179935f, 0.9157348f, 0.9134483f, 0.9111341f,
         0.9087924f, 0.9064233f, 0.9040271f, 0.9016038f, 0.8991536f, 0.8966767f, 0.8941732f,
         0.8916434f, 0.8890873f, 0.8865052f, 0.8838972f, 0.8812636f, 0.8786044f, 0.8759199f,
         0.8732102f, 0.8704755f, 0.8677161f, 0.8649321f, 0.8621235f, 0.8592908f, 0.8564340f,
         0.8535534f, 0.8506491f, 0.8477213f, 0.8447703f, 0.8417962f, 0.8387991f, 0.8357794f,
         0.8327373f, 0.8296729f, 0.8265864f, 0.8234781f, 0.8203481f, 0.8171966f, 0.8140240f,
         0.8108302f, 0.8076158f, 0.8043807f, 0.8011253f, 0.7978497f, 0.7945541f, 0.7912388f,
         0.7879041f, 0.7845501f, 0.7811770f, 0.7777851f, 0.7743746f, 0.7709458f, 0.7674989f,
         0.7640339f, 0.7605513f, 0.7570513f, 0.7535341f, 0.7500000f, 0.7464491f, 0.7428817f,
         0.7392980f, 0.7356983f, 0.7320829f, 0.7284519f, 0.7248057f, 0.7211443f, 0.7174682f,
         0.7137775f, 0.7100725f, 0.7063535f, 0.7026206f, 0.6988742f, 0.6951145f, 0.6913417f,
         0.6875561f, 0.6837579f, 0.6799475f, 0.6761250f, 0.6722907f, 0.6684449f, 0.6645879f,
         0.6607198f, 0.6568408f, 0.6529515f, 0.6490519f, 0.6451423f, 0.6412231f, 0.6372943f,
         0.6333564f, 0.6294096f, 0.6254539f, 0.6214901f, 0.6175180f, 0.6135381f, 0.6095506f,
         0.6055558f, 0.6015539f, 0.5975451f, 0.5935299f, 0.5895084f, 0.5854809f, 0.5814477f,
         0.5774091f, 0.5733653f, 0.5693164f, 0.5652630f, 0.5612053f, 0.5571434f, 0.5530778f,
         0.5490085f, 0.5449361f, 0.5408605f, 0.5367823f, 0.5327016f, 0.5286186f, 0.5245338f,
         0.5204474f, 0.5163596f, 0.5122706f, 0.5081809f, 0.5040905f, 0.5000000f, 0.4959094f,
         0.4918191f, 0.4877294f, 0.4836404f, 0.4795526f, 0.4754661f, 0.4713813f, 0.4672984f,
         0.4632177f, 0.4591395f, 0.4550639f, 0.4509914f, 0.4469222f, 0.4428565f, 0.4387946f,
         0.4347369f, 0.4306835f, 0.4266347f, 0.4225909f, 0.4185522f, 0.4145190f, 0.4104916f,
         0.4064701f, 0.4024549f, 0.3984461f, 0.3944442f, 0.3904493f, 0.3864619f, 0.3824819f,
         0.3785099f, 0.3745460f, 0.3705904f, 0.3666436f, 0.3627056f, 0.3587769f, 0.3548576f,
         0.3509481f, 0.3470485f, 0.3431591f, 0.3392802f, 0.3354121f, 0.3315550f, 0.3277093f,
         0.3238750f, 0.3200525f, 0.3162420f, 0.3124439f, 0.3086582f, 0.3048854f, 0.3011257f,
         0.2973793f, 0.2936465f, 0.2899274f, 0.2862225f, 0.2825317f, 0.2788557f, 0.2751943f,
         0.2715480f, 0.2679171f, 0.2643016f, 0.2607020f, 0.2571183f, 0.2535509f, 0.2500000f,
         0.2464658f, 0.2429486f, 0.2394486f, 0.2359661f, 0.2325011f, 0.2290542f, 0.2256253f,
         0.2222148f, 0.2188230f, 0.2154499f, 0.2120959f, 0.2087611f, 0.2054459f, 0.2021503f,
         0.1988747f, 0.1956193f, 0.1923842f, 0.1891697f, 0.1859760f, 0.1828034f, 0.1796519f,
         0.1765219f, 0.1734136f, 0.1703270f, 0.1672627f, 0.1642205f, 0.1612009f, 0.1582038f,
         0.1552297f, 0.1522787f, 0.1493509f, 0.1464466f, 0.1435659f, 0.1407092f, 0.1378764f,
         0.1350679f, 0.1322839f, 0.1295244f, 0.1267898f, 0.1240801f, 0.1213956f, 0.1187364f,
         0.1161027f, 0.1134948f, 0.1109126f, 0.1083566f, 0.1058268f, 0.1033233f, 0.1008464f,
         0.0983962f, 0.0959729f, 0.0935766f, 0.0912076f, 0.0888658f, 0.0865517f, 0.0842652f,
         0.0820065f, 0.0797758f, 0.0775732f, 0.0753989f, 0.0732530f, 0.0711357f, 0.0690471f,
         0.0669873f, 0.0649565f, 0.0629548f, 0.0609824f, 0.0590393f, 0.0571258f, 0.0552419f,
         0.0533879f, 0.0515636f, 0.0497694f, 0.0480053f, 0.0462715f, 0.0445681f, 0.0428951f,
         0.0412528f, 0.0396411f, 0.0380602f, 0.0365103f, 0.0349914f, 0.0335036f, 0.0320470f,
         0.0306218f, 0.0292279f, 0.0278656f, 0.0265349f, 0.0252359f, 0.0239687f, 0.0227333f,
         0.0215298f, 0.0203584f, 0.0192191f, 0.0181120f, 0.0170371f, 0.0159945f, 0.0149844f,
         0.0140067f, 0.0130615f, 0.0121489f, 0.0112690f, 0.0104218f, 0.0096073f, 0.0088257f,
         0.0080770f, 0.0073612f, 0.0066783f, 0.0060285f, 0.0054117f, 0.0048281f, 0.0042776f,
         0.0037602f, 0.0032761f, 0.0028252f, 0.0024076f, 0.0020233f, 0.0016724f, 0.0013548f,
         0.0010705f, 0.0008197f, 0.0006023f, 0.0004183f, 0.0002677f, 0.0001506f, 0.0000669f,
         0.0000167f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0000094f, 0.0000376f, 0.0000847f, 0.0001506f, 0.0002353f, 0.0003388f,
         0.0004611f, 0.0006023f, 0.0007622f, 0.0009409f, 0.0011385f, 0.0013548f, 0.0015899f,
         0.0018437f, 0.0021163f, 0.0024076f, 0.0027177f, 0.0030465f, 0.0033940f, 0.0037602f,
         0.0041451f, 0.0045487f, 0.0049709f, 0.0054117f, 0.0058712f, 0.0063493f, 0.0068460f,
         0.0073612f, 0.0078950f, 0.0084473f, 0.0090181f, 0.0096074f, 0.0102151f, 0.0108413f,
         0.0114859f, 0.0121489f, 0.0128303f, 0.0135300f, 0.0142480f, 0.0149844f, 0.0157390f,
         0.0165118f, 0.0173028f, 0.0181120f, 0.0189393f, 0.0197847f, 0.0206483f, 0.0215298f,
         0.0224294f, 0.0233470f, 0.0242825f, 0.0252359f, 0.0262072f, 0.0271963f, 0.0282033f,
         0.0292280f, 0.0302704f, 0.0313305f, 0.0324082f, 0.0335036f, 0.0346165f, 0.0357470f,
         0.0368949f, 0.0380602f, 0.0392430f, 0.0404431f, 0.0416605f, 0.0428951f, 0.0441470f,
         0.0454160f, 0.0467021f, 0.0480053f, 0.0493256f, 0.0506628f, 0.0520169f, 0.0533879f,
         0.0547756f, 0.0561802f, 0.0576015f, 0.0590394f, 0.0604939f, 0.0619650f, 0.0634525f,
         0.0649565f, 0.0664769f, 0.0680136f, 0.0695665f, 0.0711357f, 0.0727210f, 0.0743224f,
         0.0759398f, 0.0775732f, 0.0792225f, 0.0808876f, 0.0825686f, 0.0842652f, 0.0859775f,
         0.0877054f, 0.0894488f, 0.0912076f, 0.0929818f, 0.0947714f, 0.0965762f, 0.0983962f,
         0.1002314f, 0.1020815f, 0.1039467f, 0.1058268f, 0.1077217f, 0.1096314f, 0.1115558f,
         0.1134948f, 0.1154483f, 0.1174164f, 0.1193988f, 0.1213956f, 0.1234066f, 0.1254318f,
         0.1274711f, 0.1295244f, 0.1315917f, 0.1336729f, 0.1357678f, 0.1378765f, 0.1399988f,
         0.1421346f, 0.1442839f, 0.1464466f, 0.1486226f, 0.1508119f, 0.1530143f, 0.1552297f,
         0.1574582f, 0.1596995f, 0.1619537f, 0.1642205f, 0.1665000f, 0.1687921f, 0.1710967f,
         0.1734136f, 0.1757428f, 0.1780842f, 0.1804378f, 0.1828034f, 0.1851809f, 0.1875703f,
         0.1899714f, 0.1923842f, 0.1948086f, 0.1972445f, 0.1996918f, 0.2021503f, 0.2046202f,
         0.2071011f, 0.2095930f, 0.2120959f, 0.2146097f, 0.2171341f, 0.2196692f, 0.2222149f,
         0.2247710f, 0.2273375f, 0.2299142f, 0.2325012f, 0.2350982f, 0.2377052f, 0.2403220f,
         0.2429487f, 0.2455850f, 0.2482308f, 0.2508861f, 0.2535509f, 0.2562249f, 0.2589082f,
         0.2616004f, 0.2643017f, 0.2670118f, 0.2697306f, 0.2724582f, 0.2751943f, 0.2779390f,
         0.2806919f, 0.2834531f, 0.2862225f, 0.2889999f, 0.2917852f, 0.2945784f, 0.2973794f,
         0.3001879f, 0.3030040f, 0.3058275f, 0.3086583f, 0.3114963f, 0.3143414f, 0.3171935f,
         0.3200525f, 0.3229183f, 0.3257906f, 0.3286696f, 0.3315551f, 0.3344468f, 0.3373449f,
         0.3402490f, 0.3431592f, 0.3460752f, 0.3489970f, 0.3519246f, 0.3548577f, 0.3577963f,
         0.3607402f, 0.3636894f, 0.3666436f, 0.3696029f, 0.3725672f, 0.3755362f, 0.3785099f,
         0.3814882f, 0.3844709f, 0.3874580f, 0.3904494f, 0.3934449f, 0.3964443f, 0.3994477f,
         0.4024549f, 0.4054657f, 0.4084800f, 0.4114979f, 0.4145191f, 0.4175435f, 0.4205710f,
         0.4236014f, 0.4266348f, 0.4296709f, 0.4327097f, 0.4357510f, 0.4387947f, 0.4418407f,
         0.4448889f, 0.4479392f, 0.4509914f, 0.4540455f, 0.4571014f, 0.4601588f, 0.4632178f,
         0.4662781f, 0.4693396f, 0.4724024f, 0.4754662f, 0.4785309f, 0.4815964f, 0.4846626f,
         0.4877294f, 0.4907966f, 0.4938642f, 0.4969321f, 0.5000000f, 0.5030680f, 0.5061358f,
         0.5092034f, 0.5122706f, 0.5153374f, 0.5184036f, 0.5214692f, 0.5245339f, 0.5275977f,
         0.5306604f, 0.5337220f, 0.5367823f, 0.5398412f, 0.5428987f, 0.5459545f, 0.5490086f,
         0.5520608f, 0.5551111f, 0.5581594f, 0.5612053f, 0.5642491f, 0.5672904f, 0.5703292f,
         0.5733653f, 0.5763986f, 0.5794291f, 0.5824566f, 0.5854810f, 0.5885022f, 0.5915200f,
         0.5945344f, 0.5975451f, 0.6005523f, 0.6035557f, 0.6065552f, 0.6095507f, 0.6125420f,
         0.6155291f, 0.6185118f, 0.6214901f, 0.6244638f, 0.6274328f, 0.6303971f, 0.6333565f,
         0.6363107f, 0.6392598f, 0.6422038f, 0.6451424f, 0.6480755f, 0.6510030f, 0.6539249f,
         0.6568409f, 0.6597511f, 0.6626552f, 0.6655532f, 0.6684450f, 0.6713304f, 0.6742094f,
         0.6770818f, 0.6799475f, 0.6828065f, 0.6856586f, 0.6885037f, 0.6913418f, 0.6941726f,
         0.6969960f, 0.6998121f, 0.7026207f, 0.7054216f, 0.7082148f, 0.7110001f, 0.7137775f,
         0.7165469f, 0.7193081f, 0.7220611f, 0.7248057f, 0.7275418f, 0.7302694f, 0.7329883f,
         0.7356984f, 0.7383997f, 0.7410920f, 0.7437751f, 0.7464491f, 0.7491138f, 0.7517692f,
         0.7544150f, 0.7570513f, 0.7596780f, 0.7622949f, 0.7649019f, 0.7674989f, 0.7700858f,
         0.7726625f, 0.7752290f, 0.7777852f, 0.7803308f, 0.7828659f, 0.7853904f, 0.7879041f,
         0.7904069f, 0.7928990f, 0.7953799f, 0.7978497f, 0.8003083f, 0.8027556f, 0.8051915f,
         0.8076159f, 0.8100287f, 0.8124298f, 0.8148191f, 0.8171966f, 0.8195622f, 0.8219157f,
         0.8242572f, 0.8265864f, 0.8289034f, 0.8312079f, 0.8335000f, 0.8357795f, 0.8380464f,
         0.8403006f, 0.8425419f, 0.8447703f, 0.8469857f, 0.8491881f, 0.8513774f, 0.8535534f,
         0.8557161f, 0.8578655f, 0.8600013f, 0.8621236f, 0.8642322f, 0.8663272f, 0.8684083f,
         0.8704756f, 0.8725289f, 0.8745682f, 0.8765934f, 0.8786044f, 0.8806012f, 0.8825836f,
         0.8845516f, 0.8865052f, 0.8884442f, 0.8903686f, 0.8922783f, 0.8941733f, 0.8960533f,
         0.8979185f, 0.8997687f, 0.9016038f, 0.9034238f, 0.9052286f, 0.9070182f, 0.9087924f,
         0.9105513f, 0.9122946f, 0.9140226f, 0.9157348f, 0.9174315f, 0.9191124f, 0.9207776f,
         0.9224268f, 0.9240602f, 0.9256777f, 0.9272790f, 0.9288643f, 0.9304335f, 0.9319865f,
         0.9335231f, 0.9350435f, 0.9365475f, 0.9380351f, 0.9395062f, 0.9409606f, 0.9423985f,
         0.9438199f, 0.9452244f, 0.9466121f, 0.9479831f, 0.9493372f, 0.9506744f, 0.9519947f,
         0.9532979f, 0.9545840f, 0.9558530f, 0.9571049f, 0.9583396f, 0.9595569f, 0.9607570f,
         0.9619398f, 0.9631051f, 0.9642531f, 0.9653835f, 0.9664964f, 0.9675918f, 0.9686695f,
         0.9697297f, 0.9707720f, 0.9717968f, 0.9728037f, 0.9737928f, 0.9747641f, 0.9757175f,
         0.9766530f, 0.9775707f, 0.9784702f, 0.9793518f, 0.9802153f, 0.9810607f, 0.9818881f,
         0.9826972f, 0.9834882f, 0.9842610f, 0.9850156f, 0.9857520f, 0.9864700f, 0.9871697f,
         0.9878511f, 0.9885141f, 0.9891587f, 0.9897849f, 0.9903927f, 0.9909819f, 0.9915527f,
         0.9921050f, 0.9926388f, 0.9931540f, 0.9936507f, 0.9941288f, 0.9945883f, 0.9950291f,
         0.9954513f, 0.9958549f, 0.9962398f, 0.9966060f, 0.9969535f, 0.9972823f, 0.9975923f,
         0.9978837f, 0.9981563f, 0.9984102f, 0.9986452f, 0.9988616f, 0.9990591f, 0.9992378f,
         0.9993978f, 0.9995389f, 0.9996612f, 0.9997647f, 0.9998494f, 0.9999153f, 0.9999623f,
         0.9999906f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9999906f, 0.9999623f, 0.9999153f, 0.9998494f,
         0.9997647f, 0.9996612f, 0.9995389f, 0.9993978f, 0.9992378f, 0.9990591f, 0.9988616f,
         0.9986452f, 0.9984101f, 0.9981563f, 0.9978837f, 0.9975923f, 0.9972823f, 0.9969535f,
         0.9966060f, 0.9962398f, 0.9958549f, 0.9954513f, 0.9950291f, 0.9945883f, 0.9941288f,
         0.9936507f, 0.9931540f, 0.9926388f, 0.9921050f, 0.9915527f, 0.9909819f, 0.9903926f,
         0.9897849f, 0.9891587f, 0.9885141f, 0.9878510f, 0.9871697f, 0.9864700f, 0.9857520f,
         0.9850156f, 0.9842610f, 0.9834882f, 0.9826972f, 0.9818881f, 0.9810607f, 0.9802153f,
         0.9793518f, 0.9784702f, 0.9775706f, 0.9766530f, 0.9757175f, 0.9747641f, 0.9737928f,
         0.9728037f, 0.9717968f, 0.9707720f, 0.9697296f, 0.9686695f, 0.9675918f, 0.9664964f,
         0.9653835f, 0.9642531f, 0.9631051f, 0.9619398f, 0.9607570f, 0.9595569f, 0.9583396f,
         0.9571049f, 0.9558530f, 0.9545840f, 0.9532979f, 0.9519947f, 0.9506744f, 0.9493372f,
         0.9479831f, 0.9466121f, 0.9452244f, 0.9438198f, 0.9423985f, 0.9409606f, 0.9395061f,
         0.9380350f, 0.9365475f, 0.9350435f, 0.9335231f, 0.9319865f, 0.9304335f, 0.9288643f,
         0.9272790f, 0.9256776f, 0.9240602f, 0.9224268f, 0.9207775f, 0.9191123f, 0.9174314f,
         0.9157348f, 0.9140225f, 0.9122946f, 0.9105512f, 0.9087924f, 0.9070182f, 0.9052286f,
         0.9034238f, 0.9016038f, 0.8997686f, 0.8979185f, 0.8960533f, 0.8941732f, 0.8922783f,
         0.8903686f, 0.8884442f, 0.8865052f, 0.8845516f, 0.8825836f, 0.8806012f, 0.8786044f,
         0.8765934f, 0.8745682f, 0.8725289f, 0.8704755f, 0.8684083f, 0.8663272f, 0.8642322f,
         0.8621235f, 0.8600012f, 0.8578654f, 0.8557161f, 0.8535534f, 0.8513774f, 0.8491881f,
         0.8469857f, 0.8447703f, 0.8425418f, 0.8403005f, 0.8380463f, 0.8357794f, 0.8335000f,
         0.8312079f, 0.8289033f, 0.8265864f, 0.8242572f, 0.8219157f, 0.8195622f, 0.8171966f,
         0.8148191f, 0.8124297f, 0.8100286f, 0.8076158f, 0.8051914f, 0.8027555f, 0.8003082f,
         0.7978497f, 0.7953799f, 0.7928989f, 0.7904069f, 0.7879041f, 0.7853904f, 0.7828659f,
         0.7803308f, 0.7777851f, 0.7752290f, 0.7726625f, 0.7700858f, 0.7674989f, 0.7649018f,
         0.7622948f, 0.7596780f, 0.7570513f, 0.7544150f, 0.7517692f, 0.7491139f, 0.7464491f,
         0.7437751f, 0.7410918f, 0.7383996f, 0.7356983f, 0.7329882f, 0.7302694f, 0.7275418f,
         0.7248057f, 0.7220610f, 0.7193081f, 0.7165469f, 0.7137775f, 0.7110001f, 0.7082148f,
         0.7054216f, 0.7026206f, 0.6998121f, 0.6969960f, 0.6941725f, 0.6913417f, 0.6885037f,
         0.6856586f, 0.6828065f, 0.6799475f, 0.6770817f, 0.6742094f, 0.6713303f, 0.6684449f,
         0.6655532f, 0.6626551f, 0.6597510f, 0.6568408f, 0.6539248f, 0.6510030f, 0.6480755f,
         0.6451423f, 0.6422037f, 0.6392598f, 0.6363106f, 0.6333564f, 0.6303971f, 0.6274328f,
         0.6244638f, 0.6214901f, 0.6185118f, 0.6155291f, 0.6125420f, 0.6095506f, 0.6065552f,
         0.6035557f, 0.6005523f, 0.5975451f, 0.5945343f, 0.5915200f, 0.5885021f, 0.5854809f,
         0.5824565f, 0.5794290f, 0.5763986f, 0.5733653f, 0.5703291f, 0.5672904f, 0.5642490f,
         0.5612053f, 0.5581593f, 0.5551111f, 0.5520608f, 0.5490085f, 0.5459545f, 0.5428987f,
         0.5398412f, 0.5367823f, 0.5337219f, 0.5306604f, 0.5275976f, 0.5245338f, 0.5214691f,
         0.5184036f, 0.5153373f, 0.5122706f, 0.5092034f, 0.5061358f, 0.5030679f, 0.5000000f,
         0.4969320f, 0.4938642f, 0.4907966f, 0.4877294f, 0.4846626f, 0.4815964f, 0.4785309f,
         0.4754661f, 0.4724023f, 0.4693396f, 0.4662780f, 0.4632177f, 0.4601588f, 0.4571013f,
         0.4540455f, 0.4509914f, 0.4479391f, 0.4448889f, 0.4418407f, 0.4387946f, 0.4357509f,
         0.4327096f, 0.4296708f, 0.4266347f, 0.4236014f, 0.4205709f, 0.4175434f, 0.4145190f,
         0.4114979f, 0.4084800f, 0.4054656f, 0.4024549f, 0.3994477f, 0.3964443f, 0.3934448f,
         0.3904493f, 0.3874580f, 0.3844709f, 0.3814882f, 0.3785099f, 0.3755362f, 0.3725671f,
         0.3696029f, 0.3666436f, 0.3636893f, 0.3607402f, 0.3577962f, 0.3548576f, 0.3519245f,
         0.3489970f, 0.3460751f, 0.3431591f, 0.3402490f, 0.3373448f, 0.3344468f, 0.3315550f,
         0.3286696f, 0.3257906f, 0.3229182f, 0.3200525f, 0.3171935f, 0.3143414f, 0.3114963f,
         0.3086582f, 0.3058274f, 0.3030040f, 0.3001879f, 0.2973793f, 0.2945784f, 0.2917852f,
         0.2889999f, 0.2862225f, 0.2834531f, 0.2806919f, 0.2779389f, 0.2751943f, 0.2724582f,
         0.2697306f, 0.2670117f, 0.2643016f, 0.2616003f, 0.2589080f, 0.2562248f, 0.2535509f,
         0.2508862f, 0.2482308f, 0.2455849f, 0.2429486f, 0.2403220f, 0.2377051f, 0.2350982f,
         0.2325011f, 0.2299142f, 0.2273374f, 0.2247710f, 0.2222148f, 0.2196692f, 0.2171341f,
         0.2146096f, 0.2120959f, 0.2095930f, 0.2071010f, 0.2046201f, 0.2021503f, 0.1996917f,
         0.1972444f, 0.1948085f, 0.1923842f, 0.1899713f, 0.1875702f, 0.1851809f, 0.1828034f,
         0.1804378f, 0.1780842f, 0.1757428f, 0.1734136f, 0.1710966f, 0.1687921f, 0.1665000f,
         0.1642205f, 0.1619536f, 0.1596994f, 0.1574581f, 0.1552297f, 0.1530143f, 0.1508119f,
         0.1486226f, 0.1464466f, 0.1442839f, 0.1421346f, 0.1399987f, 0.1378764f, 0.1357678f,
         0.1336728f, 0.1315917f, 0.1295244f, 0.1274711f, 0.1254317f, 0.1234066f, 0.1213956f,
         0.1193988f, 0.1174164f, 0.1154483f, 0.1134948f, 0.1115558f, 0.1096314f, 0.1077217f,
         0.1058268f, 0.1039467f, 0.1020815f, 0.1002313f, 0.0983962f, 0.0965762f, 0.0947714f,
         0.0929818f, 0.0912076f, 0.0894487f, 0.0877053f, 0.0859775f, 0.0842652f, 0.0825685f,
         0.0808876f, 0.0792225f, 0.0775732f, 0.0759398f, 0.0743223f, 0.0727210f, 0.0711357f,
         0.0695665f, 0.0680136f, 0.0664769f, 0.0649565f, 0.0634525f, 0.0619649f, 0.0604939f,
         0.0590393f, 0.0576014f, 0.0561801f, 0.0547756f, 0.0533879f, 0.0520169f, 0.0506628f,
         0.0493256f, 0.0480053f, 0.0467021f, 0.0454160f, 0.0441470f, 0.0428951f, 0.0416605f,
         0.0404431f, 0.0392430f, 0.0380602f, 0.0368949f, 0.0357470f, 0.0346165f, 0.0335036f,
         0.0324082f, 0.0313305f, 0.0302704f, 0.0292279f, 0.0282032f, 0.0271963f, 0.0262072f,
         0.0252359f, 0.0242825f, 0.0233470f, 0.0224294f, 0.0215298f, 0.0206483f, 0.0197847f,
         0.0189393f, 0.0181120f, 0.0173028f, 0.0165118f, 0.0157389f, 0.0149844f, 0.0142480f,
         0.0135300f, 0.0128303f, 0.0121489f, 0.0114859f, 0.0108413f, 0.0102151f, 0.0096073f,
         0.0090181f, 0.0084473f, 0.0078950f, 0.0073612f, 0.0068460f, 0.0063493f, 0.0058712f,
         0.0054117f, 0.0049709f, 0.0045487f, 0.0041451f, 0.0037602f, 0.0033940f, 0.0030465f,
         0.0027177f, 0.0024076f, 0.0021163f, 0.0018437f, 0.0015898f, 0.0013548f, 0.0011384f,
         0.0009409f, 0.0007622f, 0.0006023f, 0.0004611f, 0.0003388f, 0.0002353f, 0.0001506f,
         0.0000847f, 0.0000376f, 0.0000094f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0000042f, 0.0000167f, 0.0000376f, 0.0000669f, 0.0001046f, 0.0001506f,
         0.0002050f, 0.0002677f, 0.0003388f, 0.0004183f, 0.0005061f, 0.0006023f, 0.0007068f,
         0.0008197f, 0.0009409f, 0.0010705f, 0.0012085f, 0.0013548f, 0.0015094f, 0.0016724f,
         0.0018437f, 0.0020233f, 0.0022113f, 0.0024076f, 0.0026123f, 0.0028252f, 0.0030465f,
         0.0032761f, 0.0035140f, 0.0037602f, 0.0040148f, 0.0042776f, 0.0045487f, 0.0048281f,
         0.0051158f, 0.0054117f, 0.0057160f, 0.0060285f, 0.0063493f, 0.0066783f, 0.0070156f,
         0.0073612f, 0.0077150f, 0.0080770f, 0.0084473f, 0.0088257f, 0.0092124f, 0.0096074f,
         0.0100105f, 0.0104218f, 0.0108413f, 0.0112690f, 0.0117049f, 0.0121489f, 0.0126011f,
         0.0130615f, 0.0135300f, 0.0140067f, 0.0144915f, 0.0149844f, 0.0154854f, 0.0159945f,
         0.0165118f, 0.0170371f, 0.0175705f, 0.0181120f, 0.0186615f, 0.0192191f, 0.0197847f,
         0.0203584f, 0.0209401f, 0.0215298f, 0.0221276f, 0.0227333f, 0.0233470f, 0.0239687f,
         0.0245983f, 0.0252359f, 0.0258815f, 0.0265349f, 0.0271963f, 0.0278656f, 0.0285429f,
         0.0292280f, 0.0299209f, 0.0306218f, 0.0313305f, 0.0320470f, 0.0327714f, 0.0335036f,
         0.0342436f, 0.0349914f, 0.0357470f, 0.0365103f, 0.0372814f, 0.0380602f, 0.0388468f,
         0.0396411f, 0.0404431f, 0.0412528f, 0.0420701f, 0.0428951f, 0.0437278f, 0.0445681f,
         0.0454160f, 0.0462715f, 0.0471347f, 0.0480053f, 0.0488836f, 0.0497694f, 0.0506628f,
         0.0515636f, 0.0524720f, 0.0533879f, 0.0543112f, 0.0552420f, 0.0561802f, 0.0571258f,
         0.0580789f, 0.0590394f, 0.0600072f, 0.0609824f, 0.0619650f, 0.0629548f, 0.0639520f,
         0.0649565f, 0.0659683f, 0.0669873f, 0.0680136f, 0.0690471f, 0.0700878f, 0.0711357f,
         0.0721908f, 0.0732530f, 0.0743224f, 0.0753989f, 0.0764825f, 0.0775732f, 0.0786710f,
         0.0797758f, 0.0808876f, 0.0820065f, 0.0831324f, 0.0842652f, 0.0854050f, 0.0865517f,
         0.0877054f, 0.0888659f, 0.0900333f, 0.0912076f, 0.0923887f, 0.0935767f, 0.0947714f,
         0.0959729f, 0.0971812f, 0.0983962f, 0.0996180f, 0.1008464f, 0.1020815f, 0.1033233f,
         0.1045718f, 0.1058268f, 0.1070884f, 0.1083566f, 0.1096314f, 0.1109127f, 0.1122005f,
         0.1134948f, 0.1147955f, 0.1161028f, 0.1174164f, 0.1187364f, 0.1200628f, 0.1213956f,
         0.1227347f, 0.1240801f, 0.1254318f, 0.1267898f, 0.1281540f, 0.1295244f, 0.1309011f,
         0.1322839f, 0.1336729f, 0.1350680f, 0.1364692f, 0.1378765f, 0.1392898f, 0.1407092f,
         0.1421346f, 0.1435660f, 0.1450033f, 0.1464466f, 0.1478958f, 0.1493509f, 0.1508119f,
         0.1522787f, 0.1537513f, 0.1552297f, 0.1567139f, 0.1582038f, 0.1596995f, 0.1612009f,
         0.1627079f, 0.1642205f, 0.1657388f, 0.1672627f, 0.1687921f, 0.1703271f, 0.1718676f,
         0.1734136f, 0.1749651f, 0.1765219f, 0.1780842f, 0.1796519f, 0.1812250f, 0.1828034f,
         0.1843871f, 0.1859761f, 0.1875703f, 0.1891697f, 0.1907744f, 0.1923842f, 0.1939992f,
         0.1956193f, 0.1972445f, 0.1988747f, 0.2005101f, 0.2021503f, 0.2037956f, 0.2054459f,
         0.2071011f, 0.2087612f, 0.2104261f, 0.2120959f, 0.2137705f, 0.2154499f, 0.2171341f,
         0.2188230f, 0.2205166f, 0.2222149f, 0.2239178f, 0.2256254f, 0.2273375f, 0.2290542f,
         0.2307755f, 0.2325012f, 0.2342314f, 0.2359661f, 0.2377052f, 0.2394487f, 0.2411965f,
         0.2429487f, 0.2447051f, 0.2464659f, 0.2482308f, 0.2500000f, 0.2517734f, 0.2535509f,
         0.2553326f, 0.2571183f, 0.2589082f, 0.2607020f, 0.2624998f, 0.2643017f, 0.2661074f,
         0.2679171f, 0.2697306f, 0.2715481f, 0.2733693f, 0.2751943f, 0.2770232f, 0.2788557f,
         0.2806919f, 0.2825318f, 0.2843753f, 0.2862225f, 0.2880732f, 0.2899275f, 0.2917852f,
         0.2936465f, 0.2955112f, 0.2973794f, 0.2992509f, 0.3011258f, 0.3030040f, 0.3048855f,
         0.3067703f, 0.3086583f, 0.3105495f, 0.3124439f, 0.3143414f, 0.3162421f, 0.3181458f,
         0.3200525f, 0.3219622f, 0.3238750f, 0.3257906f, 0.3277093f, 0.3296308f, 0.3315551f,
         0.3334823f, 0.3354121f, 0.3373449f, 0.3392802f, 0.3412184f, 0.3431592f, 0.3451025f,
         0.3470485f, 0.3489970f, 0.3509481f, 0.3529016f, 0.3548577f, 0.3568162f, 0.3587770f,
         0.3607402f, 0.3627057f, 0.3646736f, 0.3666436f, 0.3686160f, 0.3705904f, 0.3725672f,
         0.3745461f, 0.3765269f, 0.3785099f, 0.3804949f, 0.3824820f, 0.3844709f, 0.3864619f,
         0.3884547f, 0.3904494f, 0.3924459f, 0.3944442f, 0.3964443f, 0.3984461f, 0.4004497f,
         0.4024549f, 0.4044617f, 0.4064701f, 0.4084800f, 0.4104916f, 0.4125046f, 0.4145191f,
         0.4165350f, 0.4185523f, 0.4205710f, 0.4225909f, 0.4246122f, 0.4266348f, 0.4286585f,
         0.4306836f, 0.4327097f, 0.4347369f, 0.4367653f, 0.4387947f, 0.4408251f, 0.4428566f,
         0.4448889f, 0.4469222f, 0.4489564f, 0.4509914f, 0.4530273f, 0.4550639f, 0.4571014f,
         0.4591395f, 0.4611783f, 0.4632178f, 0.4652578f, 0.4672984f, 0.4693396f, 0.4713814f,
         0.4734236f, 0.4754662f, 0.4775092f, 0.4795526f, 0.4815964f, 0.4836405f, 0.4856848f,
         0.4877294f, 0.4897742f, 0.4918192f, 0.4938642f, 0.4959095f, 0.4979547f, 0.5000000f,
         0.5020453f, 0.5040906f, 0.5061358f, 0.5081809f, 0.5102258f, 0.5122706f, 0.5143152f,
         0.5163596f, 0.5184036f, 0.5204474f, 0.5224908f, 0.5245339f, 0.5265765f, 0.5286187f,
         0.5306604f, 0.5327016f, 0.5347422f, 0.5367823f, 0.5388218f, 0.5408605f, 0.5428987f,
         0.5449361f, 0.5469728f, 0.5490086f, 0.5510436f, 0.5530778f, 0.5551111f, 0.5571435f,
         0.5591750f, 0.5612053f, 0.5632348f, 0.5652631f, 0.5672904f, 0.5693165f, 0.5713415f,
         0.5733653f, 0.5753878f, 0.5774091f, 0.5794291f, 0.5814478f, 0.5834650f, 0.5854810f,
         0.5874954f, 0.5895085f, 0.5915200f, 0.5935299f, 0.5955384f, 0.5975451f, 0.5995504f,
         0.6015539f, 0.6035557f, 0.6055558f, 0.6075541f, 0.6095507f, 0.6115453f, 0.6135381f,
         0.6155291f, 0.6175181f, 0.6195051f, 0.6214901f, 0.6234731f, 0.6254540f, 0.6274328f,
         0.6294096f, 0.6313841f, 0.6333565f, 0.6353265f, 0.6372944f, 0.6392598f, 0.6412231f,
         0.6431839f, 0.6451424f, 0.6470984f, 0.6490519f, 0.6510030f, 0.6529515f, 0.6548975f,
         0.6568409f, 0.6587816f, 0.6607198f, 0.6626552f, 0.6645879f, 0.6665178f, 0.6684450f,
         0.6703693f, 0.6722907f, 0.6742094f, 0.6761250f, 0.6780378f, 0.6799475f, 0.6818543f,
         0.6837580f, 0.6856586f, 0.6875561f, 0.6894505f, 0.6913418f, 0.6932297f, 0.6951146f,
         0.6969960f, 0.6988742f, 0.7007492f, 0.7026207f, 0.7044888f, 0.7063535f, 0.7082148f,
         0.7100726f, 0.7119268f, 0.7137775f, 0.7156247f, 0.7174683f, 0.7193081f, 0.7211443f,
         0.7229769f, 0.7248057f, 0.7266307f, 0.7284520f, 0.7302694f, 0.7320830f, 0.7338926f,
         0.7356984f, 0.7375002f, 0.7392980f, 0.7410920f, 0.7428817f, 0.7446675f, 0.7464491f,
         0.7482266f, 0.7500000f, 0.7517692f, 0.7535342f, 0.7552949f, 0.7570513f, 0.7588035f,
         0.7605515f, 0.7622949f, 0.7640339f, 0.7657686f, 0.7674989f, 0.7692245f, 0.7709458f,
         0.7726625f, 0.7743747f, 0.7760822f, 0.7777852f, 0.7794834f, 0.7811770f, 0.7828659f,
         0.7845501f, 0.7862295f, 0.7879041f, 0.7895740f, 0.7912389f, 0.7928990f, 0.7945541f,
         0.7962044f, 0.7978497f, 0.7994900f, 0.8011253f, 0.8027556f, 0.8043807f, 0.8060008f,
         0.8076159f, 0.8092257f, 0.8108303f, 0.8124298f, 0.8140240f, 0.8156130f, 0.8171966f,
         0.8187751f, 0.8203481f, 0.8219157f, 0.8234781f, 0.8250350f, 0.8265864f, 0.8281324f,
         0.8296729f, 0.8312079f, 0.8327373f, 0.8342613f, 0.8357795f, 0.8372922f, 0.8387991f,
         0.8403006f, 0.8417962f, 0.8432861f, 0.8447703f, 0.8462487f, 0.8477213f, 0.8491881f,
         0.8506491f, 0.8521042f, 0.8535534f, 0.8549967f, 0.8564341f, 0.8578655f, 0.8592908f,
         0.8607103f, 0.8621236f, 0.8635309f, 0.8649321f, 0.8663272f, 0.8677161f, 0.8690989f,
         0.8704756f, 0.8718460f, 0.8732102f, 0.8745682f, 0.8759199f, 0.8772653f, 0.8786044f,
         0.8799372f, 0.8812636f, 0.8825836f, 0.8838973f, 0.8852045f, 0.8865052f, 0.8877995f,
         0.8890874f, 0.8903686f, 0.8916434f, 0.8929117f, 0.8941733f, 0.8954283f, 0.8966767f,
         0.8979185f, 0.8991536f, 0.9003820f, 0.9016038f, 0.9028188f, 0.9040271f, 0.9052286f,
         0.9064234f, 0.9076113f, 0.9087924f, 0.9099667f, 0.9111341f, 0.9122946f, 0.9134483f,
         0.9145951f, 0.9157348f, 0.9168676f, 0.9179935f, 0.9191124f, 0.9202242f, 0.9213290f,
         0.9224268f, 0.9235175f, 0.9246011f, 0.9256777f, 0.9267470f, 0.9278092f, 0.9288643f,
         0.9299122f, 0.9309529f, 0.9319865f, 0.9330127f, 0.9340317f, 0.9350435f, 0.9360480f,
         0.9370452f, 0.9380351f, 0.9390176f, 0.9399928f, 0.9409606f, 0.9419211f, 0.9428742f,
         0.9438199f, 0.9447581f, 0.9456888f, 0.9466121f, 0.9475280f, 0.9484364f, 0.9493372f,
         0.9502306f, 0.9511164f, 0.9519947f, 0.9528654f, 0.9537285f, 0.9545840f, 0.9554319f,
         0.9562722f, 0.9571049f, 0.9579299f, 0.9587473f, 0.9595569f, 0.9603589f, 0.9611532f,
         0.9619398f, 0.9627186f, 0.9634897f, 0.9642531f, 0.9650086f, 0.9657564f, 0.9664964f,
         0.9672287f, 0.9679530f, 0.9686695f, 0.9693782f, 0.9700791f, 0.9707720f, 0.9714571f,
         0.9721344f, 0.9728037f, 0.9734651f, 0.9741185f, 0.9747641f, 0.9754017f, 0.9760313f,
         0.9766530f, 0.9772667f, 0.9778725f, 0.9784702f, 0.9790599f, 0.9796416f, 0.9802153f,
         0.9807810f, 0.9813385f, 0.9818881f, 0.9824295f, 0.9829630f, 0.9834882f, 0.9840055f,
         0.9845146f, 0.9850156f, 0.9855086f, 0.9859933f, 0.9864700f, 0.9869385f, 0.9873989f,
         0.9878511f, 0.9882951f, 0.9887310f, 0.9891587f, 0.9895782f, 0.9899895f, 0.9903927f,
         0.9907876f, 0.9911743f, 0.9915527f, 0.9919230f, 0.9922850f, 0.9926388f, 0.9929844f,
         0.9933217f, 0.9936507f, 0.9939715f, 0.9942840f, 0.9945883f, 0.9948843f, 0.9951719f,
         0.9954513f, 0.9957224f, 0.9959853f, 0.9962398f, 0.9964859f, 0.9967239f, 0.9969535f,
         0.9971747f, 0.9973878f, 0.9975923f, 0.9977887f, 0.9979767f, 0.9981563f, 0.9983276f,
         0.9984906f, 0.9986452f, 0.9987915f, 0.9989295f, 0.9990591f, 0.9991803f, 0.9992932f,
         0.9993978f, 0.9994939f, 0.9995817f, 0.9996612f, 0.9997323f, 0.9997950f, 0.9998494f,
         0.9998955f, 0.9999331f, 0.9999623f, 0.9999833f, 0.9999958f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
         1.0000000f, 1.0000000f, 1.0000000f, 0.9999958f, 0.9999833f, 0.9999623f, 0.9999331f,
         0.9998955f, 0.9998494f, 0.9997950f, 0.9997323f, 0.9996612f, 0.9995817f, 0.9994939f,
         0.9993978f, 0.9992932f, 0.9991803f, 0.9990591f, 0.9989295f, 0.9987915f, 0.9986452f,
         0.9984906f, 0.9983276f, 0.9981563f, 0.9979767f, 0.9977887f, 0.9975923f, 0.9973878f,
         0.9971747f, 0.9969535f, 0.9967239f, 0.9964859f, 0.9962398f, 0.9959853f, 0.9957224f,
         0.9954513f, 0.9951719f, 0.9948843f, 0.9945883f, 0.9942840f, 0.9939715f, 0.9936507f,
         0.9933217f, 0.9929844f, 0.9926388f, 0.9922850f, 0.9919230f, 0.9915527f, 0.9911742f,
         0.9907876f, 0.9903926f, 0.9899895f, 0.9895782f, 0.9891587f, 0.9887310f, 0.9882951f,
         0.9878510f, 0.9873989f, 0.9869385f, 0.9864700f, 0.9859933f, 0.9855086f, 0.9850156f,
         0.9845146f, 0.9840055f, 0.9834882f, 0.9829629f, 0.9824295f, 0.9818881f, 0.9813385f,
         0.9807809f, 0.9802153f, 0.9796416f, 0.9790599f, 0.9784702f, 0.9778724f, 0.9772667f,
         0.9766530f, 0.9760313f, 0.9754017f, 0.9747641f, 0.9741185f, 0.9734651f, 0.9728037f,
         0.9721344f, 0.9714571f, 0.9707720f, 0.9700791f, 0.9693782f, 0.9686695f, 0.9679530f,
         0.9672286f, 0.9664964f, 0.9657564f, 0.9650086f, 0.9642531f, 0.9634897f, 0.9627186f,
         0.9619398f, 0.9611532f, 0.9603589f, 0.9595569f, 0.9587473f, 0.9579299f, 0.9571049f,
         0.9562722f, 0.9554319f, 0.9545840f, 0.9537284f, 0.9528654f, 0.9519947f, 0.9511164f,
         0.9502306f, 0.9493372f, 0.9484364f, 0.9475280f, 0.9466121f, 0.9456888f, 0.9447581f,
         0.9438198f, 0.9428742f, 0.9419211f, 0.9409606f, 0.9399928f, 0.9390176f, 0.9380350f,
         0.9370452f, 0.9360480f, 0.9350435f, 0.9340317f, 0.9330127f, 0.9319865f, 0.9309529f,
         0.9299122f, 0.9288643f, 0.9278092f, 0.9267470f, 0.9256776f, 0.9246011f, 0.9235175f,
         0.9224268f, 0.9213290f, 0.9202242f, 0.9191123f, 0.9179935f, 0.9168676f, 0.9157348f,
         0.9145950f, 0.9134483f, 0.9122946f, 0.9111341f, 0.9099667f, 0.9087924f, 0.9076113f,
         0.9064233f, 0.9052286f, 0.9040271f, 0.9028188f, 0.9016038f, 0.9003820f, 0.8991536f,
         0.8979185f, 0.8966767f, 0.8954282f, 0.8941732f, 0.8929116f, 0.8916434f, 0.8903686f,
         0.8890873f, 0.8877995f, 0.8865052f, 0.8852044f, 0.8838972f, 0.8825836f, 0.8812636f,
         0.8799372f, 0.8786044f, 0.8772653f, 0.8759199f, 0.8745682f, 0.8732102f, 0.8718460f,
         0.8704755f, 0.8690989f, 0.8677161f, 0.8663272f, 0.8649321f, 0.8635308f, 0.8621235f,
         0.8607102f, 0.8592908f, 0.8578654f, 0.8564340f, 0.8549967f, 0.8535534f, 0.8521042f,
         0.8506491f, 0.8491881f, 0.8477213f, 0.8462487f, 0.8447703f, 0.8432860f, 0.8417962f,
         0.8403005f, 0.8387991f, 0.8372921f, 0.8357794f, 0.8342612f, 0.8327373f, 0.8312079f,
         0.8296729f, 0.8281324f, 0.8265864f, 0.8250350f, 0.8234781f, 0.8219157f, 0.8203481f,
         0.8187751f, 0.8171966f, 0.8156129f, 0.8140240f, 0.8124297f, 0.8108302f, 0.8092256f,
         0.8076158f, 0.8060008f, 0.8043807f, 0.8027555f, 0.8011253f, 0.7994900f, 0.7978497f,
         0.7962043f, 0.7945541f, 0.7928989f, 0.7912388f, 0.7895739f, 0.7879041f, 0.7862295f,
         0.7845501f, 0.7828659f, 0.7811770f, 0.7794834f, 0.7777851f, 0.7760822f, 0.7743746f,
         0.7726625f, 0.7709458f, 0.7692245f, 0.7674989f, 0.7657685f, 0.7640339f, 0.7622948f,
         0.7605513f, 0.7588035f, 0.7570513f, 0.7552949f, 0.7535341f, 0.7517692f, 0.7500000f,
         0.7482266f, 0.7464491f, 0.7446674f, 0.7428817f, 0.7410918f, 0.7392980f, 0.7375002f,
         0.7356983f, 0.7338926f, 0.7320829f, 0.7302694f, 0.7284519f, 0.7266307f, 0.7248057f,
         0.7229768f, 0.7211443f, 0.7193081f, 0.7174682f, 0.7156247f, 0.7137775f, 0.7119268f,
         0.7100725f, 0.7082148f, 0.7063535f, 0.7044888f, 0.7026206f, 0.7007492f, 0.6988742f,
         0.6969960f, 0.6951145f, 0.6932297f, 0.6913417f, 0.6894505f, 0.6875561f, 0.6856586f,
         0.6837579f, 0.6818542f, 0.6799475f, 0.6780378f, 0.6761250f, 0.6742094f, 0.6722907f,
         0.6703692f, 0.6684449f, 0.6665177f, 0.6645879f, 0.6626551f, 0.6607198f, 0.6587816f,
         0.6568408f, 0.6548975f, 0.6529515f, 0.6510030f, 0.6490519f, 0.6470984f, 0.6451423f,
         0.6431838f, 0.6412231f, 0.6392598f, 0.6372943f, 0.6353264f, 0.6333564f, 0.6313840f,
         0.6294096f, 0.6274328f, 0.6254539f, 0.6234730f, 0.6214901f, 0.6195050f, 0.6175180f,
         0.6155291f, 0.6135381f, 0.6115453f, 0.6095506f, 0.6075541f, 0.6055558f, 0.6035557f,
         0.6015539f, 0.5995503f, 0.5975451f, 0.5955383f, 0.5935299f, 0.5915200f, 0.5895084f,
         0.5874954f, 0.5854809f, 0.5834650f, 0.5814477f, 0.5794290f, 0.5774091f, 0.5753878f,
         0.5733653f, 0.5713415f, 0.5693164f, 0.5672904f, 0.5652630f, 0.5632347f, 0.5612053f,
         0.5591749f, 0.5571434f, 0.5551111f, 0.5530778f, 0.5510436f, 0.5490085f, 0.5469727f,
         0.5449361f, 0.5428987f, 0.5408605f, 0.5388217f, 0.5367823f, 0.5347422f, 0.5327016f,
         0.5306604f, 0.5286186f, 0.5265764f, 0.5245338f, 0.5224907f, 0.5204474f, 0.5184036f,
         0.5163596f, 0.5143152f, 0.5122706f, 0.5102258f, 0.5081809f, 0.5061358f, 0.5040905f,
         0.5020453f, 0.5000000f, 0.4979546f, 0.4959094f, 0.4938642f, 0.4918191f, 0.4897741f,
         0.4877294f, 0.4856848f, 0.4836404f, 0.4815964f, 0.4795526f, 0.4775092f, 0.4754661f,
         0.4734235f, 0.4713813f, 0.4693396f, 0.4672984f, 0.4652577f, 0.4632177f, 0.4611782f,
         0.4591395f, 0.4571013f, 0.4550639f, 0.4530273f, 0.4509914f, 0.4489564f, 0.4469222f,
         0.4448889f, 0.4428565f, 0.4408250f, 0.4387946f, 0.4367652f, 0.4347369f, 0.4327096f,
         0.4306835f, 0.4286585f, 0.4266347f, 0.4246122f, 0.4225909f, 0.4205709f, 0.4185522f,
         0.4165350f, 0.4145190f, 0.4125045f, 0.4104916f, 0.4084800f, 0.4064701f, 0.4044616f,
         0.4024549f, 0.4004496f, 0.3984461f, 0.3964443f, 0.3944442f, 0.3924459f, 0.3904493f,
         0.3884547f, 0.3864619f, 0.3844709f, 0.3824819f, 0.3804949f, 0.3785099f, 0.3765269f,
         0.3745460f, 0.3725671f, 0.3705904f, 0.3686159f, 0.3666436f, 0.3646735f, 0.3627056f,
         0.3607402f, 0.3587769f, 0.3568161f, 0.3548576f, 0.3529016f, 0.3509481f, 0.3489970f,
         0.3470485f, 0.3451025f, 0.3431591f, 0.3412184f, 0.3392802f, 0.3373448f, 0.3354121f,
         0.3334822f, 0.3315550f, 0.3296307f, 0.3277093f, 0.3257906f, 0.3238750f, 0.3219622f,
         0.3200525f, 0.3181457f, 0.3162420f, 0.3143414f, 0.3124439f, 0.3105495f, 0.3086582f,
         0.3067703f, 0.3048854f, 0.3030040f, 0.3011257f, 0.2992508f, 0.2973793f, 0.2955112f,
         0.2936465f, 0.2917852f, 0.2899274f, 0.2880732f, 0.2862225f, 0.2843753f, 0.2825317f,
         0.2806919f, 0.2788557f, 0.2770231f, 0.2751943f, 0.2733693f, 0.2715480f, 0.2697306f,
         0.2679171f, 0.2661074f, 0.2643016f, 0.2624998f, 0.2607020f, 0.2589080f, 0.2571183f,
         0.2553325f, 0.2535509f, 0.2517733f, 0.2500000f, 0.2482308f, 0.2464658f, 0.2447051f,
         0.2429486f, 0.2411965f, 0.2394486f, 0.2377051f, 0.2359661f, 0.2342314f, 0.2325011f,
         0.2307754f, 0.2290542f, 0.2273374f, 0.2256253f, 0.2239178f, 0.2222148f, 0.2205166f,
         0.2188230f, 0.2171341f, 0.2154499f, 0.2137705f, 0.2120959f, 0.2104260f, 0.2087611f,
         0.2071010f, 0.2054459f, 0.2037956f, 0.2021503f, 0.2005100f, 0.1988747f, 0.1972444f,
         0.1956193f, 0.1939992f, 0.1923842f, 0.1907744f, 0.1891697f, 0.1875702f, 0.1859760f,
         0.1843870f, 0.1828034f, 0.1812249f, 0.1796519f, 0.1780842f, 0.1765219f, 0.1749650f,
         0.1734136f, 0.1718676f, 0.1703270f, 0.1687921f, 0.1672627f, 0.1657387f, 0.1642205f,
         0.1627078f, 0.1612009f, 0.1596994f, 0.1582038f, 0.1567139f, 0.1552297f, 0.1537513f,
         0.1522787f, 0.1508119f, 0.1493509f, 0.1478958f, 0.1464466f, 0.1450033f, 0.1435659f,
         0.1421346f, 0.1407092f, 0.1392898f, 0.1378764f, 0.1364692f, 0.1350679f, 0.1336728f,
         0.1322839f, 0.1309011f, 0.1295244f, 0.1281540f, 0.1267898f, 0.1254317f, 0.1240801f,
         0.1227347f, 0.1213956f, 0.1200628f, 0.1187364f, 0.1174164f, 0.1161027f, 0.1147955f,
         0.1134948f, 0.1122005f, 0.1109126f, 0.1096314f, 0.1083566f, 0.1070884f, 0.1058268f,
         0.1045717f, 0.1033233f, 0.1020815f, 0.1008464f, 0.0996180f, 0.0983962f, 0.0971812f,
         0.0959729f, 0.0947714f, 0.0935766f, 0.0923887f, 0.0912076f, 0.0900333f, 0.0888658f,
         0.0877053f, 0.0865517f, 0.0854049f, 0.0842652f, 0.0831324f, 0.0820065f, 0.0808876f,
         0.0797758f, 0.0786710f, 0.0775732f, 0.0764825f, 0.0753989f, 0.0743223f, 0.0732530f,
         0.0721908f, 0.0711357f, 0.0700878f, 0.0690471f, 0.0680136f, 0.0669873f, 0.0659682f,
         0.0649565f, 0.0639520f, 0.0629548f, 0.0619649f, 0.0609824f, 0.0600072f, 0.0590393f,
         0.0580789f, 0.0571258f, 0.0561801f, 0.0552419f, 0.0543112f, 0.0533879f, 0.0524720f,
         0.0515636f, 0.0506628f, 0.0497694f, 0.0488836f, 0.0480053f, 0.0471347f, 0.0462715f,
         0.0454160f, 0.0445681f, 0.0437278f, 0.0428951f, 0.0420701f, 0.0412528f, 0.0404431f,
         0.0396411f, 0.0388468f, 0.0380602f, 0.0372814f, 0.0365103f, 0.0357470f, 0.0349914f,
         0.0342436f, 0.0335036f, 0.0327714f, 0.0320470f, 0.0313305f, 0.0306218f, 0.0299209f,
         0.0292279f, 0.0285429f, 0.0278656f, 0.0271963f, 0.0265349f, 0.0258815f, 0.0252359f,
         0.0245983f, 0.0239687f, 0.0233470f, 0.0227333f, 0.0221275f, 0.0215298f, 0.0209401f,
         0.0203584f, 0.0197847f, 0.0192191f, 0.0186615f, 0.0181120f, 0.0175705f, 0.0170371f,
         0.0165118f, 0.0159945f, 0.0154854f, 0.0149844f, 0.0144915f, 0.0140067f, 0.0135300f,
         0.0130615f, 0.0126011f, 0.0121489f, 0.0117049f, 0.0112690f, 0.0108413f, 0.0104218f,
         0.0100105f, 0.0096073f, 0.0092124f, 0.0088257f, 0.0084473f, 0.0080770f, 0.0077150f,
         0.0073612f, 0.0070156f, 0.0066783f, 0.0063493f, 0.0060285f, 0.0057160f, 0.0054117f,
         0.0051158f, 0.0048281f, 0.0045487f, 0.0042776f, 0.0040148f, 0.0037602f, 0.0035140f,
         0.0032761f, 0.0030465f, 0.0028252f, 0.0026123f, 0.0024076f, 0.0022113f, 0.0020233f,
         0.0018437f, 0.0016724f, 0.0015094f, 0.0013548f, 0.0012085f, 0.0010705f, 0.0009409f,
         0.0008197f, 0.0007068f, 0.0006023f, 0.0005061f, 0.0004183f, 0.0003388f, 0.0002677f,
         0.0002050f, 0.0001506f, 0.0001046f, 0.0000669f, 0.0000376f, 0.0000167f, 0.0000042f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f,
         0.0000000f, 0.0000000f, 0.0000000f, 0.0000000f},
        {0.0000000f, 0.0000024f, 0.0000094f, 0.0000212f, 0.0000376f, 0.0000588f, 0.0000847f,
         0.0001153f, 0.0001506f, 0.0001906f, 0.0002353f, 0.0002847f, 0.0003388f, 0.0003976f,
         0.0004611f, 0.0005293f, 0.0006023f, 0.0006799f, 0.0007622f, 0.0008492f, 0.0009409f,
         0.0010374f, 0.0011385f, 0.0012443f, 0.0013548f, 0.0014700f, 0.0015899f, 0.0017144f,
         0.0018437f, 0.0019777f, 0.0021163f, 0.0022596f, 0.0024076f, 0.0025603f, 0.0027177f,
         0.0028798f, 0.0030465f, 0.0032179f, 0.0033940f, 0.0035748f, 0.0037602f, 0.0039504f,
         0.0041451f, 0.0043446f, 0.0045487f, 0.0047575f, 0.0049709f, 0.0051890f, 0.0054117f,
         0.0056392f, 0.0058712f, 0.0061079f, 0.0063493f, 0.0065953f, 0.0068460f, 0.0071012f,
         0.0073612f, 0.0076258f, 0.0078950f, 0.0081688f, 0.0084473f, 0.0087304f, 0.0090181f,
         0.0093104f, 0.0096074f, 0.0099089f, 0.0102151f, 0.0105259f, 0.0108413f, 0.0111613f,
         0.0114859f, 0.0118151f, 0.0121489f, 0.0124873f, 0.0128303f, 0.0131779f, 0.0135300f,
         0.0138867f, 0.0142480f, 0.0146139f, 0.0149844f, 0.0153594f, 0.0157390f, 0.0161231f,
         0.0165118f, 0.0169050f, 0.0173028f, 0.0177051f, 0.0181120f, 0.0185234f, 0.0189393f,
         0.0193598f, 0.0197847f, 0.0202142f, 0.0206483f, 0.0210868f, 0.0215298f, 0.0219774f,
         0.0224294f, 0.0228859f, 0.0233470f, 0.0238125f, 0.0242825f, 0.0247570f, 0.0252359f,
         0.0257193f, 0.0262072f, 0.0266995f, 0.0271963f, 0.0276976f, 0.0282033f, 0.0287134f,
         0.0292280f, 0.0297470f, 0.0302704f, 0.0307982f, 0.0313305f, 0.0318672f, 0.0324082f,
         0.0329537f, 0.0335036f, 0.0340579f, 0.0346165f, 0.0351796f, 0.0357470f, 0.0363187f,
         0.0368949f, 0.0374754f, 0.0380602f, 0.0386494f, 0.0392430f, 0.0398409f, 0.0404431f,
         0.0410496f, 0.0416605f, 0.0422756f, 0.0428951f, 0.0435189f, 0.0441470f, 0.0447794f,
         0.0454160f, 0.0460570f, 0.0467021f, 0.0473516f, 0.0480053f, 0.0486633f, 0.0493256f,
         0.0499921f, 0.0506628f, 0.0513377f, 0.0520169f, 0.0527003f, 0.0533879f, 0.0540797f,
         0.0547756f, 0.0554758f, 0.0561802f, 0.0568887f, 0.0576015f, 0.0583183f, 0.0590394f,
         0.0597646f, 0.0604939f, 0.0612274f, 0.0619650f, 0.0627067f, 0.0634525f, 0.0642025f,
         0.0649565f, 0.0657147f, 0.0664769f, 0.0672432f, 0.0680136f, 0.0687880f, 0.0695665f,
         0.0703491f, 0.0711357f, 0.0719263f, 0.0727210f, 0.0735197f, 0.0743224f, 0.0751291f,
         0.0759398f, 0.0767545f, 0.0775732f, 0.0783959f, 0.0792225f, 0.0800531f, 0.0808876f,
         0.0817261f, 0.0825686f, 0.0834149f, 0.0842652f, 0.0851194f, 0.0859775f, 0.0868395f,
         0.0877054f, 0.0885751f, 0.0894488f, 0.0903262f, 0.0912076f, 0.0920928f, 0.0929818f,
         0.0938747f, 0.0947714f, 0.0956719f, 0.0965762f, 0.0974844f, 0.0983962f, 0.0993119f,
         0.1002314f, 0.1011546f, 0.1020815f, 0.1030123f, 0.1039467f, 0.1048849f, 0.1058268f,
         0.1067724f, 0.1077217f, 0.1086747f, 0.1096314f, 0.1105917f, 0.1115558f, 0.1125235f,
         0.1134948f, 0.1144697f, 0.1154483f, 0.1164306f, 0.1174164f, 0.1184058f, 0.1193988f,
         0.1203954f, 0.1213956f, 0.1223993f, 0.1234066f, 0.1244175f, 0.1254318f, 0.1264497f,
         0.1274711f, 0.1284960f, 0.1295244f, 0.1305563f, 0.1315917f, 0.1326306f, 0.1336729f,
         0.1347186f, 0.1357678f, 0.1368204f, 0.1378765f, 0.1389359f, 0.1399988f, 0.1410650f,
         0.1421346f, 0.1432076f, 0.1442839f, 0.1453636f, 0.1464466f, 0.1475330f, 0.1486226f,
         0.1497156f, 0.1508119f, 0.1519114f, 0.1530143f, 0.1541204f, 0.1552297f, 0.1563424f,
         0.1574582f, 0.1585772f, 0.1596995f, 0.1608250f, 0.1619537f, 0.1630855f, 0.1642205f,
         0.1653587f, 0.1665000f, 0.1676445f, 0.1687921f, 0.1699428f, 0.1710967f, 0.1722536f,
         0.1734136f, 0.1745767f, 0.1757428f, 0.1769120f, 0.1780842f, 0.1792595f, 0.1804378f,
         0.1816191f, 0.1828034f, 0.1839906f, 0.1851809f, 0.1863741f, 0.1875703f, 0.1887694f,
         0.1899714f, 0.1911764f, 0.1923842f, 0.1935950f, 0.1948086f, 0.1960251f, 0.1972445f,
         0.1984667f, 0.1996918f, 0.2009197f, 0.2021503f, 0.2033839f, 0.2046202f, 0.2058592f,
         0.2071011f, 0.2083457f, 0.2095930f, 0.2108431f, 0.2120959f, 0.2133514f, 0.2146097f,
         0.2158705f, 0.2171341f, 0.2184003f, 0.2196692f, 0.2209407f, 0.2222149f, 0.2234917f,
         0.2247710f, 0.2260530f, 0.2273375f, 0.2286246f, 0.2299142f, 0.2312064f, 0.2325012f,
         0.2337984f, 0.2350982f, 0.2364005f, 0.2377052f, 0.2390124f, 0.2403220f, 0.2416341f,
         0.2429487f, 0.2442656f, 0.2455850f, 0.2469067f, 0.2482308f, 0.2495573f, 0.2508861f,
         0.2522174f, 0.2535509f, 0.2548867f, 0.2562249f, 0.2575654f, 0.2589082f, 0.2602531f,
         0.2616004f, 0.2629499f, 0.2643017f, 0.2656556f, 0.2670118f, 0.2683701f, 0.2697306f,
         0.2710934f, 0.2724582f, 0.2738252f, 0.2751943f, 0.2765656f, 0.2779390f, 0.2793144f,
         0.2806919f, 0.2820715f, 0.2834531f, 0.2848368f, 0.2862225f, 0.2876102f, 0.2889999f,
         0.2903916f, 0.2917852f, 0.2931809f, 0.2945784f, 0.2959780f, 0.2973794f, 0.2987827f,
         0.3001879f, 0.3015950f, 0.3030040f, 0.3044148f, 0.3058275f, 0.3072420f, 0.3086583f,
         0.3100764f, 0.3114963f, 0.3129180f, 0.3143414f, 0.3157666f, 0.3171935f, 0.3186222f,
         0.3200525f, 0.3214846f, 0.3229183f, 0.3243536f, 0.3257906f, 0.3272293f, 0.3286696f,
         0.3301116f, 0.3315551f, 0.3330002f, 0.3344468f, 0.3358951f, 0.3373449f, 0.3387962f,
         0.3402490f, 0.3417034f, 0.3431592f, 0.3446164f, 0.3460752f, 0.3475354f, 0.3489970f,
         0.3504601f, 0.3519246f, 0.3533905f, 0.3548577f, 0.3563263f, 0.3577963f, 0.3592676f,
         0.3607402f, 0.3622141f, 0.3636894f, 0.3651658f, 0.3666436f, 0.3681227f, 0.3696029f,
         0.3710845f, 0.3725672f, 0.3740511f, 0.3755362f, 0.3770225f, 0.3785099f, 0.3799985f,
         0.3814882f, 0.3829791f, 0.3844709f, 0.3859639f, 0.3874580f, 0.3889532f, 0.3904494f,
         0.3919466f, 0.3934449f, 0.3949441f, 0.3964443f, 0.3979456f, 0.3994477f, 0.4009508f,
         0.4024549f, 0.4039598f, 0.4054657f, 0.4069724f, 0.4084800f, 0.4099886f, 0.4114979f,
         0.4130081f, 0.4145191f, 0.4160309f, 0.4175435f, 0.4190568f, 0.4205710f, 0.4220858f,
         0.4236014f, 0.4251178f, 0.4266348f, 0.4281525f, 0.4296709f, 0.4311900f, 0.4327097f,
         0.4342300f, 0.4357510f, 0.4372725f, 0.4387947f, 0.4403174f, 0.4418407f, 0.4433646f,
         0.4448889f, 0.4464138f, 0.4479392f, 0.4494651f, 0.4509914f, 0.4525183f, 0.4540455f,
         0.4555732f, 0.4571014f, 0.4586299f, 0.4601588f, 0.4616881f, 0.4632178f, 0.4647478f,
         0.4662781f, 0.4678087f, 0.4693396f, 0.4708709f, 0.4724024f, 0.4739341f, 0.4754662f,
         0.4769984f, 0.4785309f, 0.4800636f, 0.4815964f, 0.4831294f, 0.4846626f, 0.4861960f,
         0.4877294f, 0.4892630f, 0.4907966f, 0.4923304f, 0.4938642f, 0.4953981f, 0.4969321f,
         0.4984660f, 0.5000000f, 0.5015340f, 0.5030680f, 0.5046019f, 0.5061358f, 0.5076696f,
         0.5092034f, 0.5107371f, 0.5122706f, 0.5138041f, 0.5153374f, 0.5168706f, 0.5184036f,
         0.5199365f, 0.5214692f, 0.5230016f, 0.5245339f, 0.5260659f, 0.5275977f, 0.5291291f,
         0.5306604f, 0.5321913f, 0.5337220f, 0.5352523f, 0.5367823f, 0.5383120f, 0.5398412f,
         0.5413702f, 0.5428987f, 0.5444268f, 0.5459545f, 0.5474818f, 0.5490086f, 0.5505350f,
         0.5520608f, 0.5535862f, 0.5551111f, 0.5566355f, 0.5581594f, 0.5596826f, 0.5612053f,
         0.5627275f, 0.5642491f, 0.5657700f, 0.5672904f, 0.5688101f, 0.5703292f, 0.5718476f,
         0.5733653f, 0.5748823f, 0.5763986f, 0.5779142f, 0.5794291f, 0.5809432f, 0.5824566f,
         0.5839692f, 0.5854810f, 0.5869920f, 0.5885022f, 0.5900115f, 0.5915200f, 0.5930276f,
         0.5945344f, 0.5960402f, 0.5975451f, 0.5990492f, 0.6005523f, 0.6020545f, 0.6035557f,
         0.6050559f, 0.6065552f, 0.6080534f, 0.6095507f, 0.6110469f, 0.6125420f, 0.6140361f,
         0.6155291f, 0.6170210f, 0.6185118f, 0.6200015f, 0.6214901f, 0.6229776f, 0.6244638f,
         0.6259489f, 0.6274328f, 0.6289155f, 0.6303971f, 0.6318774f, 0.6333565f, 0.6348342f,
         0.6363107f, 0.6377859f, 0.6392598f, 0.6407325f, 0.6422038f, 0.6436738f, 0.6451424f,
         0.6466096f, 0.6480755f, 0.6495399f, 0.6510030f, 0.6524646f, 0.6539249f, 0.6553836f,
         0.6568409f, 0.6582967f, 0.6597511f, 0.6612039f, 0.6626552f, 0.6641049f, 0.6655532f,
         0.6669998f, 0.6684450f, 0.6698885f, 0.6713304f, 0.6727707f, 0.6742094f, 0.6756464f,
         0.6770818f, 0.6785155f, 0.6799475f, 0.6813779f, 0.6828065f, 0.6842334f, 0.6856586f,
         0.6870821f, 0.6885037f, 0.6899236f, 0.6913418f, 0.6927581f, 0.6941726f, 0.6955853f,
         0.6969960f, 0.6984050f, 0.6998121f, 0.7012174f, 0.7026207f, 0.7040221f, 0.7054216f,
         0.7068192f, 0.7082148f, 0.7096084f, 0.7110001f, 0.7123898f, 0.7137775f, 0.7151632f,
         0.7165469f, 0.7179285f, 0.7193081f, 0.7206857f, 0.7220611f, 0.7234344f, 0.7248057f,
         0.7261748f, 0.7275418f, 0.7289067f, 0.7302694f, 0.7316300f, 0.7329883f, 0.7343445f,
         0.7356984f, 0.7370502f, 0.7383997f, 0.7397469f, 0.7410920f, 0.7424347f, 0.7437751f,
         0.7451133f, 0.7464491f, 0.7477826f, 0.7491138f, 0.7504427f, 0.7517692f, 0.7530934f,
         0.7544150f, 0.7557344f, 0.7570513f, 0.7583659f, 0.7596780f, 0.7609876f, 0.7622949f,
         0.7635996f, 0.7649019f, 0.7662016f, 0.7674989f, 0.7687936f, 0.7700858f, 0.7713754f,
         0.7726625f, 0.7739471f, 0.7752290f, 0.7765085f, 0.7777852f, 0.7790594f, 0.7803308f,
         0.7815996f, 0.7828659f, 0.7841295f, 0.7853904f, 0.7866486f, 0.7879041f, 0.7891569f,
         0.7904069f, 0.7916543f, 0.7928990f, 0.7941408f, 0.7953799f, 0.7966162f, 0.7978497f,
         0.7990804f, 0.8003083f, 0.8015333f, 0.8027556f, 0.8039749f, 0.8051915f, 0.8064051f,
         0.8076159f, 0.8088237f, 0.8100287f, 0.8112307f, 0.8124298f, 0.8136260f, 0.8148191f,
         0.8160093f, 0.8171966f, 0.8183810f, 0.8195622f, 0.8207405f, 0.8219157f, 0.8230880f,
         0.8242572f, 0.8254234f, 0.8265864f, 0.8277465f, 0.8289034f, 0.8300572f, 0.8312079f,
         0.8323555f, 0.8335000f, 0.8346413f, 0.8357795f, 0.8369145f, 0.8380464f, 0.8391751f,
         0.8403006f, 0.8414228f, 0.8425419f, 0.8436577f, 0.8447703f, 0.8458797f, 0.8469857f,
         0.8480886f, 0.8491881f, 0.8502844f, 0.8513774f, 0.8524671f, 0.8535534f, 0.8546364f,
         0.8557161f, 0.8567924f, 0.8578655f, 0.8589350f, 0.8600013f, 0.8610641f, 0.8621236f,
         0.8631796f, 0.8642322f, 0.8652815f, 0.8663272f, 0.8673695f, 0.8684083f, 0.8694437f,
         0.8704756f, 0.8715041f, 0.8725289f, 0.8735504f, 0.8745682f, 0.8755826f, 0.8765934f,
         0.8776007f, 0.8786044f, 0.8796046f, 0.8806012f, 0.8815942f, 0.8825836f, 0.8835695f,
         0.8845516f, 0.8855302f, 0.8865052f, 0.8874766f, 0.8884442f, 0.8894083f, 0.8903686f,
         0.8913254f, 0.8922783f, 0.8932276f, 0.8941733f, 0.8951151f, 0.8960533f, 0.8969878f,
         0.8979185f, 0.8988454f, 0.8997687f, 0.9006882f, 0.9016038f, 0.9025156f, 0.9034238f,
         0.9043281f, 0.9052286f, 0.9061253f, 0.9070182f, 0.9079072f, 0.9087924f, 0.9096738f,
         0.9105513f, 0.9114249f, 0.9122946f, 0.9131606f, 0.9140226f, 0.9148806f, 0.9157348f,
         0.9165851f, 0.9174315f, 0.9182739f, 0.9191124f, 0.9199469f, 0.9207776f, 0.9216042f,
         0.9224268f, 0.9232455f, 0.9240602f, 0.9248710f, 0.9256777f, 0.9264803f, 0.9272790f,
         0.9280736f, 0.9288643f, 0.9296509f, 0.9304335f, 0.9312119f, 0.9319865f, 0.9327568f,
         0.9335231f, 0.9342854f, 0.9350435f, 0.9357976f, 0.9365475f, 0.9372934f, 0.9380351f,
         0.9387727f, 0.9395062f, 0.9402355f, 0.9409606f, 0.9416817f, 0.9423985f, 0.9431113f,
         0.9438199f, 0.9445242f, 0.9452244f, 0.9459204f, 0.9466121f, 0.9472997f, 0.9479831f,
         0.9486623f, 0.9493372f, 0.9500079f, 0.9506744f, 0.9513366f, 0.9519947f, 0.9526484f,
         0.9532979f, 0.9539431f, 0.9545840f, 0.9552207f, 0.9558530f, 0.9564811f, 0.9571049f,
         0.9577244f, 0.9583396f, 0.9589504f, 0.9595569f, 0.9601592f, 0.9607570f, 0.9613506f,
         0.9619398f, 0.9625247f, 0.9631051f, 0.9636813f, 0.9642531f, 0.9648204f, 0.9653835f,
         0.9659421f, 0.9664964f, 0.9670463f, 0.9675918f, 0.9681329f, 0.9686695f, 0.9692018f,
         0.9697297f, 0.9702531f, 0.9707720f, 0.9712867f, 0.9717968f, 0.9723024f, 0.9728037f,
         0.9733005f, 0.9737928f, 0.9742807f, 0.9747641f, 0.9752431f, 0.9757175f, 0.9761875f,
         0.9766530f, 0.9771141f, 0.9775707f, 0.9780227f, 0.9784702f, 0.9789132f, 0.9793518f,
         0.9797858f, 0.9802153f, 0.9806402f, 0.9810607f, 0.9814767f, 0.9818881f, 0.9822949f,
         0.9826972f, 0.9830950f, 0.9834882f, 0.9838769f, 0.9842610f, 0.9846406f, 0.9850156f,
         0.9853861f, 0.9857520f, 0.9861133f, 0.9864700f, 0.9868221f, 0.9871697f, 0.9875127f,
         0.9878511f, 0.9881849f, 0.9885141f, 0.9888387f, 0.9891587f, 0.9894741f, 0.9897849f,
         0.9900911f, 0.9903927f, 0.9906896f, 0.9909819f, 0.9912696f, 0.9915527f, 0.9918312f,
         0.9921050f, 0.9923743f, 0.9926388f, 0.9928988f, 0.9931540f, 0.9934047f, 0.9936507f,
         0.9938921f, 0.9941288f, 0.9943609f, 0.9945883f, 0.9948111f, 0.9950291f, 0.9952426f,
         0.9954513f, 0.9956554f, 0.9958549f, 0.9960496f, 0.9962398f, 0.9964252f, 0.9966060f,
         0.9967821f, 0.9969535f, 0.9971203f, 0.9972823f, 0.9974396f, 0.9975923f, 0.9977404f,
         0.9978837f, 0.9980223f, 0.9981563f, 0.9982855f, 0.9984102f, 0.9985300f, 0.9986452f,
         0.9987557f, 0.9988616f, 0.9989626f, 0.9990591f, 0.9991508f, 0.9992378f, 0.9993201f,
         0.9993978f, 0.9994707f, 0.9995389f, 0.9996024f, 0.9996612f, 0.9997153f, 0.9997647f,
         0.9998094f, 0.9998494f, 0.9998847f, 0.9999153f, 0.9999412f, 0.9999623f, 0.9999788f,
         0.9999906f, 0.9999976f, 1.0000000f, 0.9999976f, 0.9999906f, 0.9999788f, 0.9999623f,
         0.9999412f, 0.9999153f, 0.9998847f, 0.9998494f, 0.9998094f, 0.9997647f, 0.9997153f,
         0.9996612f, 0.9996024f, 0.9995389f, 0.9994707f, 0.9993978f, 0.9993201f, 0.9992378f,
         0.9991508f, 0.9990591f, 0.9989626f, 0.9988616f, 0.9987557f, 0.9986452f, 0.9985300f,
         0.9984101f, 0.9982855f, 0.9981563f, 0.9980223f, 0.9978837f, 0.9977404f, 0.9975923f,
         0.9974396f, 0.9972823f, 0.9971203f, 0.9969535f, 0.9967821f, 0.9966060f, 0.9964252f,
         0.9962398f, 0.9960496f, 0.9958549f, 0.9956554f, 0.9954513f, 0.9952425f, 0.9950291f,
         0.9948110f, 0.9945883f, 0.9943608f, 0.9941288f, 0.9938921f, 0.9936507f, 0.9934047f,
         0.9931540f, 0.9928988f, 0.9926388f, 0.9923742f, 0.9921050f, 0.9918312f, 0.9915527f,
         0.9912696f, 0.9909819f, 0.9906896f, 0.9903926f, 0.9900911f, 0.9897849f, 0.9894741f,
         0.9891587f, 0.9888387f, 0.9885141f, 0.9881849f, 0.9878510f, 0.9875127f, 0.9871697f,
         0.9868221f, 0.9864700f, 0.9861133f, 0.9857520f, 0.9853861f, 0.9850156f, 0.9846406f,
         0.9842610f, 0.9838769f, 0.9834882f, 0.9830950f, 0.9826972f, 0.9822949f, 0.9818881f,
         0.9814767f, 0.9810607f, 0.9806402f, 0.9802153f, 0.9797858f, 0.9793518f, 0.9789132f,
         0.9784702f, 0.9780226f, 0.9775706f, 0.9771141f, 0.9766530f, 0.9761875f, 0.9757175f,
         0.9752430f, 0.9747641f, 0.9742807f, 0.9737928f, 0.9733005f, 0.9728037f, 0.9723024f,
         0.9717968f, 0.9712866f, 0.9707720f, 0.9702530f, 0.9697296f, 0.9692018f, 0.9686695f,
         0.9681329f, 0.9675918f, 0.9670463f, 0.9664964f, 0.9659421f, 0.9653835f, 0.9648204f,
         0.9642531f, 0.9636812f, 0.9631051f, 0.9625247f, 0.9619398f, 0.9613506f, 0.9607570f,
         0.9601591f, 0.9595569f, 0.9589504f, 0.9583396f, 0.9577243f, 0.9571049f, 0.9564811f,
         0.9558530f, 0.9552206f, 0.9545840f, 0.9539430f, 0.9532979f, 0.9526484f, 0.9519947f,
         0.9513366f, 0.9506744f, 0.9500079f, 0.9493372f, 0.9486623f, 0.9479831f, 0.9472997f,
         0.9466121f, 0.9459203f, 0.9452244f, 0.9445242f, 0.9438198f, 0.9431113f, 0.9423985f,
         0.9416816f, 0.9409606f, 0.9402354f, 0.9395061f, 0.9387727f, 0.9380350f, 0.9372933f,
         0.9365475f, 0.9357976f, 0.9350435f, 0.9342853f, 0.9335231f, 0.9327568f, 0.9319865f,
         0.9312119f, 0.9304335f, 0.9296509f, 0.9288643f, 0.9280736f, 0.9272790f, 0.9264803f,
         0.9256776f, 0.9248708f, 0.9240602f, 0.9232454f, 0.9224268f, 0.9216042f, 0.9207775f,
         0.9199469f, 0.9191123f, 0.9182739f, 0.9174314f, 0.9165851f, 0.9157348f, 0.9148806f,
         0.9140225f, 0.9131606f, 0.9122946f, 0.9114249f, 0.9105512f, 0.9096738f, 0.9087924f,
         0.9079072f, 0.9070182f, 0.9061253f, 0.9052286f, 0.9043281f, 0.9034238f, 0.9025156f,
         0.9016038f, 0.9006881f, 0.8997686f, 0.8988454f, 0.8979185f, 0.8969877f, 0.8960533f,
         0.8951151f, 0.8941732f, 0.8932276f, 0.8922783f, 0.8913253f, 0.8903686f, 0.8894082f,
         0.8884442f, 0.8874766f, 0.8865052f, 0.8855302f, 0.8845516f, 0.8835695f, 0.8825836f,
         0.8815942f, 0.8806012f, 0.8796046f, 0.8786044f, 0.8776007f, 0.8765934f, 0.8755826f,
         0.8745682f, 0.8735503f, 0.8725289f, 0.8715039f, 0.8704755f, 0.8694437f, 0.8684083f,
         0.8673694f, 0.8663272f, 0.8652813f, 0.8642322f, 0.8631796f, 0.8621235f, 0.8610641f,
         0.8600012f, 0.8589350f, 0.8578654f, 0.8567924f, 0.8557161f, 0.8546364f, 0.8535534f,
         0.8524671f, 0.8513774f, 0.8502843f, 0.8491881f, 0.8480886f, 0.8469857f, 0.8458796f,
         0.8447703f, 0.8436576f, 0.8425418f, 0.8414228f, 0.8403005f, 0.8391750f, 0.8380463f,
         0.8369145f, 0.8357794f, 0.8346413f, 0.8335000f, 0.8323555f, 0.8312079f, 0.8300571f,
         0.8289033f, 0.8277464f, 0.8265864f, 0.8254234f, 0.8242572f, 0.8230880f, 0.8219157f,
         0.8207405f, 0.8195622f, 0.8183810f, 0.8171966f, 0.8160094f, 0.8148191f, 0.8136259f,
         0.8124297f, 0.8112307f, 0.8100286f, 0.8088236f, 0.8076158f, 0.8064051f, 0.8051914f,
         0.8039749f, 0.8027555f, 0.8015333f, 0.8003082f, 0.7990804f, 0.7978497f, 0.7966161f,
         0.7953799f, 0.7941408f, 0.7928989f, 0.7916543f, 0.7904069f, 0.7891569f, 0.7879041f,
         0.7866486f, 0.7853904f, 0.7841295f, 0.7828659f, 0.7815996f, 0.7803308f, 0.7790593f,
         0.7777851f, 0.7765083f, 0.7752290f, 0.7739470f, 0.7726625f, 0.7713754f, 0.7700858f,
         0.7687936f, 0.7674989f, 0.7662016f, 0.7649018f, 0.7635995f, 0.7622948f, 0.7609876f,
         0.7596780f, 0.7583659f, 0.7570513f, 0.7557344f, 0.7544150f, 0.7530932f, 0.7517692f,
         0.7504427f, 0.7491139f, 0.7477826f, 0.7464491f, 0.7451133f, 0.7437751f, 0.7424346f,
         0.7410918f, 0.7397469f, 0.7383996f, 0.7370501f, 0.7356983f, 0.7343444f, 0.7329882f,
         0.7316299f, 0.7302694f, 0.7289066f, 0.7275418f, 0.7261748f, 0.7248057f, 0.7234344f,
         0.7220610f, 0.7206856f, 0.7193081f, 0.7179285f, 0.7165469f, 0.7151632f, 0.7137775f,
         0.7123898f, 0.7110001f, 0.7096084f, 0.7082148f, 0.7068192f, 0.7054216f, 0.7040220f,
         0.7026206f, 0.7012173f, 0.6998121f, 0.6984050f, 0.6969960f, 0.6955852f, 0.6941725f,
         0.6927580f, 0.6913417f, 0.6899236f, 0.6885037f, 0.6870821f, 0.6856586f, 0.6842334f,
         0.6828065f, 0.6813778f, 0.6799475f, 0.6785154f, 0.6770817f, 0.6756464f, 0.6742094f,
         0.6727707f, 0.6713303f, 0.6698884f, 0.6684449f, 0.6669998f, 0.6655532f, 0.6641049f,
         0.6626551f, 0.6612038f, 0.6597510f, 0.6582966f, 0.6568408f, 0.6553836f, 0.6539248f,
         0.6524646f, 0.6510030f, 0.6495399f, 0.6480755f, 0.6466095f, 0.6451423f, 0.6436737f,
         0.6422037f, 0.6407324f, 0.6392598f, 0.6377859f, 0.6363106f, 0.6348342f, 0.6333564f,
         0.6318773f, 0.6303971f, 0.6289155f, 0.6274328f, 0.6259489f, 0.6244638f, 0.6229775f,
         0.6214901f, 0.6200015f, 0.6185118f, 0.6170210f, 0.6155291f, 0.6140360f, 0.6125420f,
         0.6110468f, 0.6095506f, 0.6080534f, 0.6065552f, 0.6050559f, 0.6035557f, 0.6020545f,
         0.6005523f, 0.5990492f, 0.5975451f, 0.5960401f, 0.5945343f, 0.5930276f, 0.5915200f,
         0.5900115f, 0.5885021f, 0.5869919f, 0.5854809f, 0.5839691f, 0.5824565f, 0.5809432f,
         0.5794290f, 0.5779142f, 0.5763986f, 0.5748822f, 0.5733653f, 0.5718475f, 0.5703291f,
         0.5688100f, 0.5672904f, 0.5657700f, 0.5642490f, 0.5627275f, 0.5612053f, 0.5596826f,
         0.5581593f, 0.5566354f, 0.5551111f, 0.5535862f, 0.5520608f, 0.5505350f, 0.5490085f,
         0.5474817f, 0.5459545f, 0.5444267f, 0.5428987f, 0.5413701f, 0.5398412f, 0.5383119f,
         0.5367823f, 0.5352523f, 0.5337219f, 0.5321913f, 0.5306604f, 0.5291291f, 0.5275976f,
         0.5260658f, 0.5245338f, 0.5230016f, 0.5214691f, 0.5199364f, 0.5184036f, 0.5168706f,
         0.5153373f, 0.5138040f, 0.5122706f, 0.5107370f, 0.5092034f, 0.5076696f, 0.5061358f,
         0.5046019f, 0.5030679f, 0.5015340f, 0.5000000f, 0.4984660f, 0.4969320f, 0.4953981f,
         0.4938642f, 0.4923303f, 0.4907966f, 0.4892630f, 0.4877294f, 0.4861959f, 0.4846626f,
         0.4831294f, 0.4815964f, 0.4800635f, 0.4785309f, 0.4769984f, 0.4754661f, 0.4739341f,
         0.4724023f, 0.4708708f, 0.4693396f, 0.4678087f, 0.4662780f, 0.4647477f, 0.4632177f,
         0.4616880f, 0.4601588f, 0.4586298f, 0.4571013f, 0.4555732f, 0.4540455f, 0.4525182f,
         0.4509914f, 0.4494650f, 0.4479391f, 0.4464138f, 0.4448889f, 0.4433645f, 0.4418407f,
         0.4403174f, 0.4387946f, 0.4372725f, 0.4357509f, 0.4342300f, 0.4327096f, 0.4311899f,
         0.4296708f, 0.4281524f, 0.4266347f, 0.4251177f, 0.4236014f, 0.4220858f, 0.4205709f,
         0.4190568f, 0.4175434f, 0.4160308f, 0.4145190f, 0.4130080f, 0.4114979f, 0.4099885f,
         0.4084800f, 0.4069724f, 0.4054656f, 0.4039598f, 0.4024549f, 0.4009508f, 0.3994477f,
         0.3979455f, 0.3964443f, 0.3949441f, 0.3934448f, 0.3919466f, 0.3904493f, 0.3889531f,
         0.3874580f, 0.3859639f, 0.3844709f, 0.3829790f, 0.3814882f, 0.3799985f, 0.3785099f,
         0.3770224f, 0.3755362f, 0.3740511f, 0.3725671f, 0.3710844f, 0.3696029f, 0.3681226f,
         0.3666436f, 0.3651658f, 0.3636893f, 0.3622141f, 0.3607402f, 0.3592675f, 0.3577962f,
         0.3563263f, 0.3548576f, 0.3533904f, 0.3519245f, 0.3504601f, 0.3489970f, 0.3475353f,
         0.3460751f, 0.3446164f, 0.3431591f, 0.3417033f, 0.3402490f, 0.3387961f, 0.3373448f,
         0.3358951f, 0.3344468f, 0.3330002f, 0.3315550f, 0.3301115f, 0.3286696f, 0.3272293f,
         0.3257906f, 0.3243536f, 0.3229182f, 0.3214845f, 0.3200525f, 0.3186221f, 0.3171935f,
         0.3157666f, 0.3143414f, 0.3129179f, 0.3114963f, 0.3100764f, 0.3086582f, 0.3072419f,
         0.3058274f, 0.3044147f, 0.3030040f, 0.3015950f, 0.3001879f, 0.2987826f, 0.2973793f,
         0.2959779f, 0.2945784f, 0.2931808f, 0.2917852f, 0.2903916f, 0.2889999f, 0.2876102f,
         0.2862225f, 0.2848368f, 0.2834531f, 0.2820715f, 0.2806919f, 0.2793143f, 0.2779389f,
         0.2765656f, 0.2751943f, 0.2738252f, 0.2724582f, 0.2710933f, 0.2697306f, 0.2683701f,
         0.2670117f, 0.2656555f, 0.2643016f, 0.2629498f, 0.2616003f, 0.2602531f, 0.2589080f,
         0.2575653f, 0.2562248f, 0.2548868f, 0.2535509f, 0.2522174f, 0.2508862f, 0.2495573f,
         0.2482308f, 0.2469067f, 0.2455849f, 0.2442656f, 0.2429486f, 0.2416341f, 0.2403220f,
         0.2390123f, 0.2377051f, 0.2364004f, 0.2350982f, 0.2337984f, 0.2325011f, 0.2312064f,
         0.2299142f, 0.2286246f, 0.2273374f, 0.2260529f, 0.2247710f, 0.2234916f, 0.2222148f,
         0.2209406f, 0.2196692f, 0.2184004f, 0.2171341f, 0.2158705f, 0.2146096f, 0.2133514f,
         0.2120959f, 0.2108431f, 0.2095930f, 0.2083457f, 0.2071010f, 0.2058592f, 0.2046201f,
         0.2033838f, 0.2021503f, 0.2009196f, 0.1996917f, 0.1984667f, 0.1972444f, 0.1960251f,
         0.1948085f, 0.1935949f, 0.1923842f, 0.1911763f, 0.1899713f, 0.1887693f, 0.1875702f,
         0.1863740f, 0.1851809f, 0.1839907f, 0.1828034f, 0.1816191f, 0.1804378f, 0.1792595f,
         0.1780842f, 0.1769120f, 0.1757428f, 0.1745766f, 0.1734136f, 0.1722535f, 0.1710966f,
         0.1699428f, 0.1687921f, 0.1676445f, 0.1665000f, 0.1653587f, 0.1642205f, 0.1630855f,
         0.1619536f, 0.1608249f, 0.1596994f, 0.1585772f, 0.1574581f, 0.1563423f, 0.1552297f,
         0.1541203f, 0.1530143f, 0.1519114f, 0.1508119f, 0.1497156f, 0.1486226f, 0.1475330f,
         0.1464466f, 0.1453636f, 0.1442839f, 0.1432076f, 0.1421346f, 0.1410650f, 0.1399987f,
         0.1389359f, 0.1378764f, 0.1368204f, 0.1357678f, 0.1347186f, 0.1336728f, 0.1326305f,
         0.1315917f, 0.1305563f, 0.1295244f, 0.1284960f, 0.1274711f, 0.1264496f, 0.1254317f,
         0.1244175f, 0.1234066f, 0.1223993f, 0.1213956f, 0.1203954f, 0.1193988f, 0.1184058f,
         0.1174164f, 0.1164306f, 0.1154483f, 0.1144697f, 0.1134948f, 0.1125234f, 0.1115558f,
         0.1105917f, 0.1096314f, 0.1086747f, 0.1077217f, 0.1067724f, 0.1058268f, 0.1048849f,
         0.1039467f, 0.1030122f, 0.1020815f, 0.1011545f, 0.1002313f, 0.0993119f, 0.0983962f,
         0.0974844f, 0.0965762f, 0.0956719f, 0.0947714f, 0.0938747f, 0.0929818f, 0.0920928f,
         0.0912076f, 0.0903262f, 0.0894487f, 0.0885751f, 0.0877053f, 0.0868394f, 0.0859775f,
         0.0851194f, 0.0842652f, 0.0834149f, 0.0825685f, 0.0817261f, 0.0808876f, 0.0800531f,
         0.0792225f, 0.0783958f, 0.0775732f, 0.0767545f, 0.0759398f, 0.0751291f, 0.0743223f,
         0.0735197f, 0.0727210f, 0.0719264f, 0.0711357f, 0.0703491f, 0.0695665f, 0.0687880f,
         0.0680136f, 0.0672432f, 0.0664769f, 0.0657146f, 0.0649565f, 0.0642024f, 0.0634525f,
         0.0627066f, 0.0619649f, 0.0612273f, 0.0604939f, 0.0597645f, 0.0590393f, 0.0583183f,
         0.0576014f, 0.0568887f, 0.0561801f, 0.0554758f, 0.0547756f, 0.0540796f, 0.0533879f,
         0.0527003f, 0.0520169f, 0.0513377f, 0.0506628f, 0.0499921f, 0.0493256f, 0.0486633f,
         0.0480053f, 0.0473516f, 0.0467021f, 0.0460569f, 0.0454160f, 0.0447793f, 0.0441470f,
         0.0435189f, 0.0428951f, 0.0422756f, 0.0416605f, 0.0410496f, 0.0404431f, 0.0398408f,
         0.0392430f, 0.0386494f, 0.0380602f, 0.0374753f, 0.0368949f, 0.0363187f, 0.0357470f,
         0.0351796f, 0.0346165f, 0.0340579f, 0.0335036f, 0.0329537f, 0.0324082f, 0.0318672f,
         0.0313305f, 0.0307982f, 0.0302704f, 0.0297469f, 0.0292279f, 0.0287134f, 0.0282032f,
         0.0276976f, 0.0271963f, 0.0266995f, 0.0262072f, 0.0257193f, 0.0252359f, 0.0247569f,
         0.0242825f, 0.0238125f, 0.0233470f, 0.0228859f, 0.0224294f, 0.0219773f, 0.0215298f,
         0.0210868f, 0.0206483f, 0.0202142f, 0.0197847f, 0.0193598f, 0.0189393f, 0.0185234f,
         0.0181120f, 0.0177051f, 0.0173028f, 0.0169050f, 0.0165118f, 0.0161231f, 0.0157389f,
         0.0153594f, 0.0149844f, 0.0146139f, 0.0142480f, 0.0138867f, 0.0135300f, 0.0131779f,
         0.0128303f, 0.0124873f, 0.0121489f, 0.0118151f, 0.0114859f, 0.0111613f, 0.0108413f,
         0.0105259f, 0.0102151f, 0.0099089f, 0.0096073f, 0.0093104f, 0.0090181f, 0.0087304f,
         0.0084473f, 0.0081688f, 0.0078950f, 0.0076257f, 0.0073612f, 0.0071012f, 0.0068460f,
         0.0065953f, 0.0063493f, 0.0061079f, 0.0058712f, 0.0056391f, 0.0054117f, 0.0051890f,
         0.0049709f, 0.0047574f, 0.0045487f, 0.0043446f, 0.0041451f, 0.0039504f, 0.0037602f,
         0.0035748f, 0.0033940f, 0.0032179f, 0.0030465f, 0.0028798f, 0.0027177f, 0.0025603f,
         0.0024076f, 0.0022596f, 0.0021163f, 0.0019777f, 0.0018437f, 0.0017144f, 0.0015898f,
         0.0014700f, 0.0013548f, 0.0012443f, 0.0011384f, 0.0010374f, 0.0009409f, 0.0008492f,
         0.0007622f, 0.0006799f, 0.0006023f, 0.0005293f, 0.0004611f, 0.0003976f, 0.0003388f,
         0.0002847f, 0.0002353f, 0.0001906f, 0.0001506f, 0.0001153f, 0.0000847f, 0.0000588f,
         0.0000376f, 0.0000212f, 0.0000094f, 0.0000024f},
    }};

/* scrn adapt */
const FLOAT32 ia_hoa_psi_n6[49 * HOA_N_PSI_POINTS] = {
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,  1.0000000f,
    1.0000000f,  1.0000000f,  0.0000000f,  0.0000000f,  1.1280601f,  0.6504755f,  0.9640980f,
    0.8789430f,  -1.0867985f, 0.8828460f,  1.3292920f,  1.1467364f,  -0.9588802f, -1.5763559f,
    -1.0894852f, -1.5586513f, 0.1975175f,  -0.0721933f, -0.6871158f, 1.3829111f,  -1.6116563f,
    0.6820188f,  -0.8861056f, 0.8753619f,  1.2853852f,  -1.0934108f, 1.6399642f,  -0.6159202f,
    0.0203990f,  -1.3150854f, -0.3092559f, 0.8440224f,  0.8705510f,  0.1278417f,  -1.6178296f,
    -0.9167180f, 0.7840779f,  0.6430704f,  -0.6020962f, -0.6484492f, 1.6633181f,  -0.7346364f,
    0.1568336f,  0.5070105f,  -1.2692306f, 1.1024863f,  1.5777888f,  0.3302943f,  0.4739761f,
    0.5486930f,  1.2926332f,  1.2618541f,  -0.0790502f, -1.5175539f, -0.9113501f, -1.6796466f,
    0.2926277f,  0.8713195f,  0.6062649f,  1.0350938f,  -1.6955622f, 0.5973775f,  0.3456781f,
    -0.3165872f, -1.1569637f, -1.3957949f, -0.2221107f, 0.0218327f,  -0.0091009f, -1.4479716f,
    -0.5278546f, 0.2705576f,  -0.3354726f, 1.3925107f,  -0.8752984f, 0.8436547f,  1.0555113f,
    1.1355448f,  1.1375592f,  -1.3818990f, 0.5595790f,  1.6510346f,  0.7396216f,  0.3293387f,
    -0.8700699f, 0.2794601f,  -1.6051400f, 1.5958796f,  -0.1897594f, 0.4780184f,  -0.8442182f,
    -0.7229944f, -0.4965327f, -1.5867058f, -1.1689296f, -0.8030186f, 0.6677009f,  -0.1354765f,
    0.7309028f,  -0.1627430f, 0.7911934f,  -1.6915338f, 0.2025267f,  -0.8533626f, -1.1898465f,
    -0.2540550f, 1.3609004f,  -1.1490496f, 1.6901839f,  1.2974048f,  -0.8042784f, -1.5086194f,
    -0.4991324f, -1.1699959f, -1.4080750f, 0.3414376f,  -1.0591092f, 0.3074261f,  0.8504632f,
    0.1596413f,  0.2569359f,  -0.2569036f, 1.0384001f,  0.6794400f,  -1.4887116f, -1.1637650f,
    1.2361817f,  1.3412218f,  -0.3391140f, -1.0220011f, -0.6292291f, -0.1227517f, 0.9531994f,
    -1.3336354f, 1.4732275f,  -1.2700465f, 1.3836788f,  0.0177694f,  -0.7154734f, -1.7310259f,
    -0.3054173f, 1.4757547f,  -1.4675481f, 0.7592103f,  0.0662248f,  1.5062768f,  -1.2637987f,
    -1.4100836f, 0.9470146f,  -0.6045811f, 0.1346000f,  -1.1761157f, -0.7728019f, -0.9825220f,
    0.3545257f,  1.7186508f,  -0.6353265f, -0.5526206f, -0.4478838f, -1.4533901f, -1.2351570f,
    1.2694910f,  1.3790293f,  0.8887716f,  -1.3205556f, 1.5272355f,  -0.2577839f, 0.3454145f,
    1.1398841f,  -0.0202187f, 1.0032117f,  0.3911758f,  0.3205307f,  1.5947264f,  1.2724735f,
    0.0233679f,  -1.6967668f, 1.6201831f,  0.9148240f,  -0.6132632f, -0.9067087f, -0.7009938f,
    -0.9767786f, 1.4689192f,  -0.7507116f, -0.0168359f, 1.4619387f,  -1.4893705f, -1.1149658f,
    -0.5428731f, -1.0216767f, -1.1022076f, -0.8259689f, 0.3731589f,  -0.2880785f, 1.7261342f,
    0.5580074f,  -0.0434228f, -1.2705200f, -0.2005981f, 0.6948798f,  -0.3238955f, 0.8648257f,
    -0.3303849f, 1.5672536f,  -0.2698791f, -0.0675295f, 1.3726362f,  -0.5470409f, 0.5509184f,
    -1.4431104f, 0.6031460f,  0.8230744f,  1.2167753f,  -1.4681032f, 1.0048832f,  -0.9999264f,
    0.6387579f,  -1.3313893f, 1.4038912f,  -0.8971817f, 0.5935630f,  0.4459078f,  0.7111987f,
    0.2187990f,  0.7357146f,  -0.6043307f, -0.8639374f, -1.0065760f, 1.6495653f,  0.0538541f,
    0.3095089f,  -0.6599367f, -0.6290526f, 1.3398112f,  1.1237598f,  -1.2628173f, 0.0128766f,
    1.5761018f,  -1.5339024f, 1.1926623f,  -1.4441155f, 0.9618145f,  -1.7067558f, 0.9038594f,
    -0.4145072f, -0.9839222f, -1.0513715f, -0.2670725f, 1.1748932f,  1.6878178f,  0.0268090f,
    0.1339500f,  -1.1426714f, -1.2636612f, -0.3154357f, -0.6618542f, 1.5053095f,  -1.6081648f,
    1.5226754f,  1.0948021f,  -0.6128260f, 0.6740526f,  1.1627819f,  0.4366555f,  1.4259734f,
    -1.3931536f, 0.2133908f,  -0.4106169f, 1.0118755f,  0.3082764f,  0.5288457f,  1.1169736f,
    -1.0269605f, -0.9188090f, 0.0814333f,  0.3505193f,  -0.0464884f, 0.0756595f,  1.1504315f,
    -0.8113056f, -0.1052966f, 1.4220901f,  0.2945092f,  -0.2610348f, -0.1898209f, 0.5527644f,
    1.0407564f,  0.4553361f,  -1.6386655f, 0.4096246f,  1.6613882f,  -0.0374390f, 1.0261130f,
    -1.3823906f, -1.5687938f, 0.4955833f,  -1.2429314f, -0.5849019f, -0.4024435f, 1.5026986f,
    -1.2280863f, 0.0071483f,  1.7050607f,  -0.7585404f, -0.4828095f, 0.5907684f,  0.5869156f,
    -1.3465217f, 1.2990809f,  -1.6377520f, -1.6792602f, -0.2980397f, 1.5467562f,  -0.4479938f,
    -0.3539124f, 0.8192056f,  -1.5811528f, 1.2046589f,  -0.9188387f, 0.1541344f,  -0.3091661f,
    -0.3916298f, -0.5755333f, 1.5772498f,  -0.4546095f, 0.0000000f,  -1.4285384f, 1.2635902f,
    -1.2013922f, -0.6992611f, -1.4833781f, -0.3783421f, 1.1485248f,  -0.9607132f, 0.8559276f,
    1.3710658f,  -0.2009146f, -0.7009197f, -0.5194281f, -1.5517827f, 0.9579256f,  1.1676571f,
    0.8943070f,  -0.0797846f, -1.5850202f, -0.9928932f, -1.2769482f, 0.5395830f,  0.7020448f,
    -0.5162311f, -1.1856006f, -1.2028255f, -0.4017857f, -0.7691022f, -1.0734138f, -1.2718765f,
    1.5784734f,  0.3298608f,  -1.2086371f, 0.7005265f,  -0.3132060f, -1.4032513f, -1.5927473f,
    0.4128533f,  -1.5637390f, -1.7089307f, -1.0701183f, 0.8329296f,  -1.2366676f, -0.1386429f,
    -1.3371438f, 0.5619253f,  -1.4422676f, -0.4486083f, 1.1545069f,  1.7120156f,  0.2316418f,
    -0.0301420f, -0.3007055f, -0.1319068f, 0.8964610f,  1.3717964f,  0.7970751f,  -0.3480878f,
    1.5349115f,  -0.5018701f, -0.0614606f, 0.1482091f,  0.8370920f,  -1.6734752f, -0.9301265f,
    1.2475014f,  0.9262328f,  -0.7770259f, 1.0752874f,  1.1138091f,  -1.0249585f, 0.3221605f,
    1.3469951f,  0.4640746f,  1.3077510f,  1.0956115f,  -0.6891497f, -1.2932618f, 0.1628603f,
    -1.4861479f, -0.4746193f, -1.4267552f, -1.4899231f, -0.6230197f, 0.6729293f,  0.6533930f,
    0.8513593f,  1.2946794f,  1.5582381f,  0.9854864f,  -0.6706916f, 1.0079798f,  -0.9122462f,
    -0.6323916f, -1.2058712f, 0.3189491f,  1.0720391f,  -0.8307781f, 0.3248056f,  0.7752707f,
    0.5350356f,  -0.5464897f, -1.6973724f, 0.5236502f,  -0.8583897f, -0.1467271f, 0.2303236f,
    0.6601341f,  -0.4153919f, 1.4161970f,  -1.2114257f, -0.9648639f, -1.6963605f, -0.9825171f,
    1.5448832f,  1.5076770f,  0.9713638f,  1.6719240f,  -1.5305407f, 0.2805829f,  0.0699531f,
    -0.7072684f, -0.0494809f, 0.8614163f,  -0.7145915f, 1.2695291f,  -1.3924804f, -0.5800333f,
    1.7256567f,  -0.3755441f, 0.5087181f,  0.2615024f,  -0.9824349f, -0.7686805f, 1.4797110f,
    1.5084918f,  -0.0096515f, -1.0723527f, -0.8680606f, -0.9170667f, 0.3844163f,  1.2641903f,
    0.1983541f,  1.1829828f,  -0.3732274f, -0.9997064f, 0.1384744f,  0.6620347f,  -0.2167969f,
    -1.4597712f, -1.4114212f, -1.0849133f, -0.2070392f, 1.5105277f,  -1.5821309f, -1.5965190f,
    0.9300417f,  1.1747335f,  0.1929623f,  1.0431053f,  1.3451518f,  -0.7114113f, 0.7404236f,
    -0.5913344f, 0.2517697f,  1.1459031f,  -0.2759041f, 1.3672233f,  -1.6169827f, 1.6552113f,
    -0.0173714f, -1.1563420f, -0.3746095f, 0.3098072f,  0.3053700f,  -0.2142254f, 0.3300469f,
    0.1491611f,  0.9696667f,  1.2886827f,  0.8973689f,  -1.1851584f, 1.6862362f,  0.5890591f,
    0.5792147f,  0.3590641f,  0.6791348f,  1.3954977f,  0.5092411f,  -0.5925288f, 0.2181058f,
    1.3819256f,  0.1034850f,  -1.6289410f, -1.6534011f, -1.1371886f, -0.9272019f, 1.5314933f,
    -1.5393548f, 1.4735964f,  -0.4308764f, -0.7360742f, 0.3057148f,  -1.4333638f, 0.7866284f,
    0.4912174f,  1.6296875f,  -0.1131344f, -0.2608578f, 0.6152659f,  -0.4200325f, 0.5248123f,
    0.1259356f,  1.0206316f,  1.2854605f,  0.1709962f,  -0.1135612f, 1.1410072f,  0.0197024f,
    -1.6142020f, -0.5587337f, -1.2852336f, 1.0118132f,  -0.0325000f, -0.2074638f, 0.8495101f,
    -0.2744670f, 0.3458716f,  1.3382483f,  -1.4124738f, -0.2244344f, 1.0078143f,  -1.0228271f,
    0.7013845f,  0.0990515f,  -0.4600108f, 0.1325718f,  -0.1593835f, -0.8484643f, 1.0976346f,
    -0.0416156f, -0.0308813f, -1.3370708f, -1.2274373f, -1.2722076f, 0.4799729f,  -0.0789733f,
    0.3625029f,  -1.6016163f, -1.6898034f, 1.1253138f,  -1.1840882f, -1.3254160f, 1.3995889f,
    -0.7665843f, 0.6431822f,  -0.6298798f, -0.7816739f, -0.9000913f, -0.9314092f, -1.2750963f,
    -0.8047014f, -0.4499104f, 0.8986018f,  1.7188395f,  -1.6807276f, -1.3965853f, -0.1254414f,
    1.6441929f,  0.5797506f,  1.3675047f,  -0.3794202f, 0.4646428f,  -0.7950922f, -1.7306216f,
    -0.7310391f, -1.0451796f, 0.8637276f,  1.4539231f,  -0.0916672f, 1.4064013f,  1.5847452f,
    0.7873490f,  0.8638730f,  -1.2982690f, 0.5362388f,  0.2760296f,  1.1552101f,  -0.4478409f,
    1.6298711f,  -0.5107453f, -0.0410901f, 0.6359600f,  1.5065728f,  1.1257685f,  1.2339864f,
    1.6426143f,  -0.3716203f, -1.0168850f, -0.6172331f, 0.0475856f,  1.5518831f,  -1.0831717f,
    1.1396461f,  -1.4693057f, 0.3340660f,  -1.0547430f, -0.3848269f, 0.0116801f,  -0.2250353f,
    0.4880648f,  1.6727718f,  1.5440527f,  -1.4594123f, 0.6222494f,  -0.7431368f, -0.6990280f,
    -1.0307470f, 0.1463127f,  1.6550923f,  -0.4158542f, 0.6118426f,  0.8211328f,  1.7320508f,
    -0.9794273f, -0.3616904f, -1.0646774f, -1.2575964f, -0.1644638f, 1.2944983f,  -0.9494595f,
    0.5567878f,  -0.9759013f, 0.4480258f,  -0.6890103f, 1.1496667f,  -0.5484527f, -0.7436107f,
    -1.4412378f, 1.0790962f,  0.5364434f,  0.6294428f,  0.1502033f,  -1.1085935f, 0.7766239f,
    1.0279274f,  1.1452448f,  0.2098154f,  -1.1022673f, -1.2461118f, 1.0531469f,  -1.5208032f,
    1.0655556f,  -0.7902347f, 0.7014828f,  -0.5232771f, -0.8359570f, 1.3764027f,  -1.5774544f,
    -0.8175363f, -0.2065659f, -0.2508480f, 0.1225944f,  -0.2344329f, 1.2640359f,  0.8338356f,
    0.5051503f,  -0.7009711f, -1.0502152f, -1.5683069f, -0.7866382f, 1.0620026f,  0.2735651f,
    -0.2505061f, 0.8021048f,  -1.4725937f, -0.2972596f, -1.7020486f, -1.1988159f, -0.8663817f,
    1.1372123f,  0.0624769f,  -0.5358980f, 1.6213059f,  -1.7017623f, -1.2804174f, -0.5924807f,
    0.3874885f,  -1.4609544f, -1.2015228f, -0.2132388f, 1.4551976f,  -1.3306222f, -1.2833110f,
    -0.1018517f, -1.4594743f, 0.6883681f,  1.2924900f,  -0.0180304f, -0.7110514f, -0.7844920f,
    1.0071470f,  -0.4975551f, -0.4942914f, -1.6328724f, 0.4553546f,  0.8378729f,  -0.1880743f,
    -0.0182792f, -1.5928178f, 1.4306241f,  0.7817292f,  0.2217500f,  1.3350175f,  0.1803808f,
    -0.7858626f, 1.2340857f,  -1.4677384f, 1.2359290f,  -1.5375475f, 1.3506467f,  1.2976211f,
    -0.1822483f, -1.5355579f, 1.4090809f,  -1.1338492f, -0.2332013f, -0.9347408f, -0.9710056f,
    -0.3489258f, -1.1241403f, -1.3846873f, 0.7426419f,  0.8632802f,  0.4044218f,  0.2938744f,
    0.0760351f,  0.9554829f,  -0.7202949f, 0.0601852f,  1.4251199f,  -0.3723623f, -0.7690549f,
    -1.3575707f, 1.5916870f,  0.5324554f,  1.2818745f,  0.8542929f,  0.8309529f,  1.1284048f,
    0.1284978f,  -1.5058658f, 0.0839091f,  -1.3965591f, 0.9811332f,  0.8724774f,  0.6494637f,
    -0.7032517f, -0.9000774f, -0.4610315f, -0.0587872f, -1.3254357f, 0.2619515f,  -0.0727392f,
    1.5085833f,  1.1821323f,  -0.8317365f, -0.0580034f, -0.9340049f, -1.0505951f, -1.6171909f,
    1.5948644f,  -1.2528969f, -0.5213877f, -0.2062535f, -1.3027948f, 0.0580875f,  0.5609510f,
    0.4375754f,  -0.5005266f, 0.1505973f,  0.3072266f,  1.1623931f,  -0.1010405f, -0.6329704f,
    0.8660408f,  -0.3454336f, 1.6074423f,  -1.6784816f, 0.6225513f,  -1.7098152f, 0.3525146f,
    -0.4820251f, 0.3969073f,  0.6756816f,  0.2090075f,  1.6908937f,  0.1581193f,  0.5308066f,
    1.4550616f,  1.5858679f,  1.4682064f,  -1.2523393f, -0.6206450f, 0.1923672f,  1.0157910f,
    0.3953780f,  0.7181534f,  0.6680460f,  1.2759012f,  1.4980202f,  0.0936080f,  -1.2352375f,
    1.4023854f,  1.6772543f,  -1.0036394f, -0.0987498f, -0.1875603f, -0.5141781f, -0.3042708f,
    1.4491573f,  0.4143306f,  0.7248987f,  -0.2838834f, -1.6447465f, -0.0437106f, -1.6833608f,
    0.9700040f,  -0.7050429f, -1.5682638f, -0.2015124f, 0.9511218f,  1.6025504f,  -1.3942726f,
    -1.1588918f, -0.7544832f, 1.4051155f,  0.9790088f,  0.9693191f,  1.0946062f,  -1.0080641f,
    -0.9450753f, -1.6270509f, 0.4421741f,  1.4771638f,  1.1403076f,  1.1978972f,  1.6228764f,
    1.4867988f,  -1.1247831f, 0.4512226f,  1.6963114f,  -1.0551281f, 0.7545867f,  -1.5980994f,
    -0.4349897f, 0.8312571f,  -0.9556945f, -1.7291682f, -0.5516275f, -0.7934531f, 1.2458545f,
    -0.4411785f, 0.9327974f,  0.2919806f,  -1.4771880f, 1.0200123f,  0.7247720f,  -0.5254574f,
    1.6426497f,  -1.2701925f, 0.1409349f,  0.6588675f,  0.3558396f,  0.6541947f,  0.0330949f,
    -1.0694730f, -0.7765950f, -0.3826115f, -0.0110576f, 0.5335829f,  1.0910517f,  -1.3469520f,
    -1.2954264f, -0.1485511f, 1.4703018f,  -0.8741740f, 0.5016348f,  0.0074185f,  0.0809217f,
    0.1601787f,  1.6997735f,  0.1301992f,  -1.1900668f, -0.2743768f, -1.4183900f, -1.6665760f,
    -1.4983205f, 0.0527963f,  1.5683932f,  -0.7642688f, 1.2632329f,  0.9354250f,  0.9845083f,
    0.9671088f,  0.6484159f,  1.5310289f,  -1.3957703f, -0.4809610f, 1.5827560f,  0.4884493f,
    1.2238043f,  -0.1980593f, -0.5849088f, 1.2985496f,  -1.0427404f, -0.3666614f, 0.6961576f,
    -0.4333204f, -1.0654422f, -0.3739748f, 0.7770424f,  -0.6765714f, -1.6183238f, 0.3008379f,
    -0.1275739f, 1.2623921f,  -1.1628409f, 0.7047486f,  -1.0369565f, -0.4471082f, 0.4119177f,
    -0.4242036f, 1.6913105f,  -0.6077317f, -0.0337000f, -0.7004620f, 0.4461138f,  0.3357996f,
    -0.9982707f, -1.2911603f, 1.3834026f,  1.6979425f,  0.3275598f,  1.5798185f,  0.3713913f,
    -1.4557029f, 0.0000000f,  -0.0000000f, -0.5267368f, -0.8940739f, -1.5652614f, -0.1866188f,
    -1.8162471f, -1.0821459f, 0.9555084f,  -1.4447539f, -0.5546152f, 1.4021819f,  -1.6170284f,
    1.1036023f,  -0.1896163f, 0.1343251f,  -0.9572260f, 0.9577289f,  -1.3096435f, 0.1322513f,
    1.2681839f,  0.8776529f,  1.7057687f,  -1.6166131f, 0.4442181f,  0.8764674f,  -0.0328164f,
    -1.7879992f, 0.6071771f,  1.1610595f,  -0.8881263f, 0.1157748f,  1.0929213f,  0.9893366f,
    1.3932502f,  -1.3096031f, 0.6354733f,  0.1729255f,  -0.5386547f, -0.1162699f, -0.0474659f,
    0.8273719f,  -1.3662977f, 0.7189824f,  -1.4278197f, -0.4478204f, -0.9596478f, -0.5572228f,
    1.7722514f,  0.4456504f,  0.0255650f,  -1.5714466f, 1.7325772f,  0.6445822f,  -0.6430012f,
    -1.3485105f, -0.6781037f, 1.5196573f,  -0.1367596f, -0.4132905f, 0.7235379f,  0.6955313f,
    1.9124747f,  1.0676287f,  -0.1111099f, -0.0411784f, 0.0141170f,  0.3986123f,  -0.9916552f,
    -0.4647710f, 0.5557934f,  -0.1831013f, 1.6492138f,  0.7497386f,  1.7612235f,  -0.0264322f,
    -1.0442378f, 1.3995525f,  0.7275765f,  -1.0605270f, -0.4719728f, -0.6942556f, -0.5114795f,
    0.3022891f,  0.3897327f,  -0.0376601f, 0.3902059f,  0.8828655f,  -0.8519919f, -0.2069774f,
    -0.8557743f, -0.3694972f, 1.1859309f,  -1.2793676f, -1.2651878f, -0.2161633f, -1.4508168f,
    -0.2837713f, 1.3254243f,  0.3979868f,  -0.4014883f, -1.5523653f, 1.7416891f,  0.0764862f,
    -1.6422600f, 1.4404060f,  -0.7613626f, -1.8828704f, 1.4377472f,  -1.4463837f, -0.5562781f,
    -0.6108622f, -0.5342099f, 0.0335158f,  -1.3064358f, -0.2858745f, 0.0660799f,  0.2937116f,
    -0.1235136f, 0.2550656f,  -1.8199169f, 1.3961535f,  -1.0233359f, -1.9259066f, 1.3633694f,
    1.4388033f,  -0.4940092f, -0.1695397f, 1.2232620f,  -0.0132972f, -1.7185709f, -1.6892327f,
    1.6593899f,  -1.0648757f, -1.2562338f, -0.0206479f, 0.4258420f,  0.1313743f,  0.5226087f,
    0.4990677f,  0.1378115f,  1.4786173f,  0.1010674f,  -1.6173907f, 0.0946359f,  1.7002721f,
    -1.2844478f, 1.2622350f,  0.2771361f,  1.9023472f,  0.5201796f,  0.2616183f,  -0.5962771f,
    0.1288828f,  -0.4600937f, -0.3121794f, 0.2894122f,  -0.2825686f, -0.4898976f, 1.9050530f,
    -0.1798843f, -0.7262697f, -1.4764523f, -0.6810750f, -0.5349530f, -0.7484824f, 0.9161365f,
    0.0446301f,  0.4565561f,  -0.2434255f, 0.1642416f,  1.3910819f,  0.3433484f,  0.0510107f,
    -0.3463630f, 1.1102603f,  1.7184755f,  -1.2555625f, -1.7186178f, 1.1333410f,  0.7826431f,
    0.3647987f,  -0.9844686f, -0.0085935f, 1.3554103f,  -1.2844984f, -1.8365510f, -1.0498817f,
    -0.1234670f, 1.7576737f,  -1.4953934f, 0.8080107f,  0.3732613f,  -0.2200571f, -0.1351155f,
    0.0288241f,  0.4990755f,  -0.3752897f, 0.3716902f,  -0.3031144f, -0.3169517f, 0.7015257f,
    -0.0884403f, 0.5865038f,  -0.0845652f, -1.2493824f, 1.1075500f,  -0.1433222f, -1.7719852f,
    1.2478391f,  -1.4815325f, -1.8204455f, 1.4299819f,  1.8228546f,  -1.2638019f, 0.7993325f,
    -1.8814269f, -1.8270313f, 1.0946397f,  -1.2467872f, 0.2545439f,  1.3562633f,  0.3221008f,
    1.1377671f,  -1.2661481f, -1.6582839f, 1.4616377f,  0.9609146f,  0.1179367f,  -0.4216021f,
    -0.6428888f, 1.2978221f,  -0.7523969f, 1.2059609f,  1.5580594f,  -0.0287451f, -1.1224179f,
    1.5712431f,  1.9182676f,  0.8225090f,  1.1582519f,  -0.6433537f, -1.7236975f, -0.5458356f,
    -0.9206331f, 0.7132112f,  -0.5663678f, -1.9266034f, 0.3070920f,  0.0228036f,  0.0615348f,
    -0.9650565f, -0.0539904f, 0.4355170f,  0.6635617f,  -0.7435467f, 0.0229571f,  1.0488990f,
    1.5420746f,  1.0656479f,  -1.1272778f, -0.2229967f, 0.8288384f,  -1.6092878f, -0.9022171f,
    0.0020437f,  -0.0428969f, 0.2092456f,  0.6764813f,  0.0888918f,  -1.7160844f, 0.3637689f,
    1.6824621f,  -0.1752070f, -0.6780177f, -0.0031686f, 0.1531944f,  -1.1350926f, -1.3230990f,
    -0.1271592f, 1.8074692f,  0.3677042f,  -0.2185126f, -0.3751906f, -0.9960438f, -0.6462244f,
    0.9304017f,  -1.0333186f, 0.6471760f,  -0.4248062f, 0.0282707f,  1.7201968f,  1.8609357f,
    0.7426008f,  0.4453984f,  0.6953136f,  0.8045209f,  0.1942995f,  1.5074434f,  1.0726718f,
    -0.0149345f, 0.6622116f,  0.1249295f,  -0.7868546f, -0.8868741f, 0.5339914f,  1.8025957f,
    -0.7498481f, -0.8709296f, 0.9196377f,  -0.6507616f, -1.2135514f, 0.0194906f,  0.3200404f,
    0.4718055f,  -0.6854542f, -1.5525186f, 1.5315947f,  0.2752787f,  -0.6777027f, -0.1656116f,
    -1.1738214f, 0.7562348f,  0.8543496f,  0.0000000f,  -0.0000000f, 1.8401909f,  -1.0088816f,
    -0.8703320f, -1.6832048f, 0.5308332f,  1.3090304f,  -1.6486883f, 1.2671413f,  -1.6972548f,
    0.4088746f,  0.9858571f,  1.0451986f,  -0.3956954f, -0.0892798f, -1.0357850f, 1.5966337f,
    0.1660031f,  -1.3955826f, 1.1358276f,  -1.4430631f, 0.8953977f,  -0.9909976f, -1.0929568f,
    0.9427298f,  -0.0316765f, 0.6821389f,  0.3070622f,  -1.1696221f, -1.4294321f, 0.2605159f,
    -0.6889502f, 1.4303954f,  0.7091011f,  -0.2600237f, 1.0907513f,  1.3333595f,  0.8865341f,
    1.4830682f,  -0.3460095f, -0.7004435f, -1.3648132f, -1.7601537f, -0.2824040f, -0.5701691f,
    0.3438424f,  -1.0216443f, -0.7486296f, 1.8807456f,  -0.1747171f, -0.4538219f, 0.0354635f,
    0.6520542f,  -0.0498318f, 1.0084010f,  1.0736840f,  1.0651318f,  0.7619509f,  1.1837408f,
    -0.2239689f, 0.0251197f,  -0.2213702f, -1.5084092f, 0.4798586f,  -0.0262165f, -0.0146572f,
    -1.7314287f, 0.5295101f,  0.3755855f,  -0.4823833f, -1.8425922f, -0.3640431f, 1.4670846f,
    0.6323755f,  1.9171396f,  1.6089962f,  1.2294596f,  -0.9342697f, 0.3471330f,  -1.4190445f,
    -0.2017960f, 1.6026105f,  -0.5375367f, 1.2910381f,  1.3864173f,  -0.1600671f, 0.5253901f,
    -1.4110466f, -1.4544310f, -0.6317175f, 1.3738637f,  -1.5211239f, 0.9457190f,  -0.5451204f,
    0.2109062f,  0.3009577f,  -0.2252358f, -0.8485786f, -0.7092978f, 0.2027030f,  -0.5894415f,
    0.8394548f,  0.5567103f,  0.9200089f,  1.2733496f,  -0.3201611f, 0.3857788f,  -0.6854298f,
    0.8090253f,  -0.9125650f, 1.8298081f,  1.7539461f,  -0.7477456f, 1.3433998f,  0.6131416f,
    1.6553439f,  0.2001942f,  0.5545821f,  0.5076208f,  0.3761407f,  0.0613596f,  1.3593124f,
    0.0743409f,  1.3747376f,  -1.2373224f, -0.5557926f, 1.8372357f,  0.4711792f,  -0.2734679f,
    -0.4621353f, -0.8758680f, 0.4973589f,  1.6108230f,  -1.3731107f, 0.0339448f,  -1.3933521f,
    0.0215688f,  0.4228201f,  -1.6538215f, 1.7374715f,  0.3767804f,  0.1080831f,  0.3857185f,
    -1.9301040f, 0.6794270f,  -1.2222318f, -0.1080808f, 0.1150403f,  0.3291755f,  1.4563889f,
    1.7902897f,  -0.4965548f, -0.4593721f, -1.2389395f, 1.1287398f,  0.9231322f,  -1.7450545f,
    -1.8732076f, 0.3162472f,  1.8570605f,  1.5434261f,  1.2128354f,  1.4598582f,  0.1967946f,
    0.1122712f,  1.6862928f,  0.0072017f,  1.7707466f,  -0.8165858f, 0.6849321f,  -0.0357641f,
    -1.8995881f, -0.0113011f, -0.6786379f, 0.6387265f,  -0.2530073f, -0.2613045f, -0.1746014f,
    -0.8775282f, -1.6250492f, 1.7017405f,  1.1486135f,  -0.0366505f, 1.1117637f,  -1.1136961f,
    -0.5168422f, -0.4759690f, -1.8406323f, -0.7246215f, 0.6318261f,  0.1050716f,  -0.5139489f,
    0.2306091f,  -1.1734638f, 0.0926873f,  1.8652558f,  0.2401184f,  1.3738814f,  0.6436771f,
    1.6452487f,  0.1837796f,  -1.4893106f, -0.1065148f, 0.1249611f,  1.3939572f,  -0.3469109f,
    1.1590869f,  0.2107749f,  -0.2031191f, 0.6537721f,  -0.6598082f, -0.9946836f, 0.1633760f,
    -1.3175328f, 1.0600331f,  -0.2939110f, -0.2058202f, -1.3215792f, 0.0150977f,  -0.9292389f,
    -0.5130034f, -0.3630379f, 0.9610238f,  0.0253561f,  0.2313924f,  -1.1039249f, -0.5844994f,
    0.0240468f,  0.5347297f,  1.2033919f,  0.1822639f,  1.7432052f,  -1.4838846f, -1.1434603f,
    0.0016466f,  -0.9360019f, -0.2625266f, -0.2454061f, 1.5818304f,  1.3629298f,  0.0916964f,
    -0.0360347f, 0.7155021f,  1.5591377f,  1.7267863f,  -0.1654894f, -0.1197852f, 0.7898807f,
    -0.0554324f, -0.2922155f, -1.6600432f, 1.9316974f,  0.5397436f,  -1.1958789f, -1.4897388f,
    -1.3353312f, -1.2381960f, -1.1048051f, 0.7121118f,  -0.8105107f, -1.9141045f, -0.4536262f,
    -0.8282508f, -1.6161836f, 0.4735169f,  0.8909607f,  -1.8243953f, -0.0499235f, 1.1225511f,
    0.8360043f,  -1.8130383f, 0.4500596f,  0.0488478f,  -0.3597939f, 0.1038655f,  -0.0714050f,
    -1.5523014f, -0.9046607f, -0.1976425f, -0.1682928f, 0.5347275f,  -0.5340505f, -0.1929460f,
    0.6164734f,  -1.7443683f, 0.3152207f,  -0.5839429f, 0.6109018f,  -0.9605486f, -0.0787775f,
    -0.6765876f, 0.0733318f,  -1.2880125f, 0.9638983f,  -1.8064280f, -0.9317895f, -0.8534241f,
    -0.7209345f, 1.6122230f,  -0.0056960f, 0.1047466f,  -1.5197148f, 0.6751457f,  0.8691840f,
    -1.1133000f, -0.5807244f, -1.7689161f, 0.8136508f,  -0.0253215f, 0.0865863f,  0.9745941f,
    -0.9674602f, -0.7054761f, -1.5434598f, -1.2701725f, -1.1557323f, 0.8291980f,  -0.2051049f,
    -0.0583980f, -0.8368013f, 0.3089839f,  1.2458467f,  -0.4819215f, -1.1180339f, 1.1635626f,
    0.6670865f,  0.4956729f,  -0.5713532f, 1.3421001f,  -0.9579955f, 0.3567751f,  -0.0861222f,
    -0.2989486f, 0.9836704f,  -1.0729026f, -0.5687568f, -0.8163821f, 1.5742251f,  -0.0921019f,
    0.4063194f,  -0.2238470f, -1.1109170f, 1.6907907f,  -0.0158346f, 0.7050285f,  -0.7925185f,
    -0.5669919f, -0.8200839f, 0.4535293f,  0.4995255f,  -0.9375477f, -0.4566964f, 0.1701841f,
    0.6905759f,  1.6676352f,  -0.9963827f, 0.5151943f,  -0.5693729f, -1.0083570f, 1.0835028f,
    1.7182438f,  -0.9274674f, 1.6158720f,  2.1471220f,  0.1622863f,  -0.3423735f, 0.5918279f,
    -1.0965432f, 0.8809588f,  -0.7650034f, 1.2076288f,  -0.8930302f, 0.3721780f,  2.1589211f,
    -1.0580426f, -1.1170182f, -1.0169370f, -1.0985808f, -0.2195343f, 0.9859107f,  -0.4077147f,
    -0.9825672f, 1.5160019f,  -0.8364306f, -1.1138107f, -1.0934753f, -0.3346018f, 2.0130419f,
    -0.1507831f, 0.6219175f,  -0.1588644f, -0.4429993f, 0.1746850f,  0.2689663f,  0.0565054f,
    -1.0019961f, 0.9105223f,  -0.8772483f, 0.7940420f,  0.2240145f,  -0.5870490f, 0.7519070f,
    -1.0883798f, 1.3512959f,  -0.8661817f, 1.1578700f,  1.3638570f,  -0.6840651f, -0.6117502f,
    -0.6407201f, -0.3076686f, 0.7560088f,  1.5966710f,  -0.0322178f, -0.6151118f, 0.0179145f,
    -0.1876135f, -0.6709107f, 0.5077277f,  -1.0042980f, 0.1668867f,  -0.3463755f, -1.0000828f,
    -0.4460454f, -0.7979821f, -0.7841319f, 2.1031037f,  -0.8114583f, -0.2942297f, -1.0939640f,
    -1.0587234f, -0.6308203f, -0.9251167f, 1.1243105f,  0.5227395f,  -0.0771862f, 2.0992642f,
    -0.0387511f, 1.5503378f,  1.4233578f,  -0.0631154f, 2.0072401f,  1.5010221f,  -1.0300147f,
    -1.1125629f, -0.5587612f, -1.1152966f, -0.2884101f, -0.5471198f, 0.6839060f,  1.0498360f,
    -0.7418841f, 2.2113496f,  -0.9603538f, -0.8286933f, -1.0415788f, -0.0389316f, -0.4574215f,
    1.3299515f,  1.4261055f,  -1.1179298f, 0.1676383f,  -0.2755625f, -0.1777545f, -0.9528154f,
    0.6687826f,  -1.0740456f, 0.4465967f,  -0.9622932f, -0.0006562f, -1.0965954f, -0.6280107f,
    -1.0654853f, 1.2644203f,  1.1092125f,  0.1979334f,  -1.0701091f, 1.4329775f,  1.6805596f,
    1.7316928f,  -0.1509596f, 0.4248516f,  -1.0764045f, 0.0984639f,  0.9049741f,  -0.5521901f,
    -0.5050973f, -0.7270838f, -1.0471640f, 0.3500497f,  -1.0329257f, 0.9719064f,  1.8052147f,
    1.9450711f,  -1.1176966f, 0.3769193f,  -0.9611377f, -1.0107244f, -1.0137763f, -1.0667245f,
    -0.9962454f, -1.0931588f, -0.0667984f, 0.7386886f,  -0.2177136f, 0.4523572f,  2.0609757f,
    -0.7300865f, -0.7429451f, -0.9738891f, -0.6023696f, 1.0592411f,  -0.8280981f, -0.7255028f,
    -1.0648489f, 1.0170962f,  -1.1060607f, 1.8486119f,  1.9383749f,  0.3278052f,  -0.1568563f,
    1.5042834f,  1.5312744f,  1.3097617f,  -0.9104659f, -0.5122772f, -1.0135407f, 1.1790024f,
    -0.4262121f, -0.8482584f, 1.8513319f,  -1.1037238f, -1.0419553f, -0.6947997f, -0.9207822f,
    -0.8100961f, -1.1003022f, 0.0466095f,  0.7294151f,  -1.0853430f, -1.1036156f, 0.3375318f,
    -1.1175999f, 1.7951692f,  -0.7690023f, 0.7287630f,  0.0265711f,  -1.1168530f, -1.0699123f,
    -0.3111851f, -1.0338100f, -0.9842867f, 0.8842628f,  1.1125357f,  -1.0617177f, 0.0175416f,
    0.0516257f,  -0.5680280f, -1.1070647f, -0.8814467f, -1.0983842f, -1.0896324f, -0.3131705f,
    0.2289753f,  -1.1160977f, -1.1169677f, 0.8807408f,  0.5663987f,  0.6915178f,  -0.8604680f,
    -1.1110610f, -0.9711149f, 1.7499186f,  2.0744400f,  0.2977674f,  0.4495221f,  0.8460472f,
    1.0720258f,  -0.4610195f, -0.6555218f, -0.6744555f, -0.4348993f, -0.2122426f, -0.1481135f,
    0.6997448f,  -0.3940573f, -0.8917222f, -0.2152379f, 2.1850960f,  2.0402391f,  1.0626360f,
    -1.1004410f, 1.9044259f,  -0.7422506f, 0.9727671f,  -0.9570821f, -0.8766582f, -0.4112446f,
    2.2305352f,  -0.5205362f, 0.1033068f,  -0.2839521f, 1.2453696f,  -1.1086392f, 1.0933979f,
    1.6898162f,  -0.4249440f, -0.2836713f, 0.7664150f,  -0.7965409f, -1.0328483f, 0.3739942f,
    -0.8937993f, 1.8520008f,  -0.8263826f, -1.1161462f, -0.6658505f, 1.4196367f,  0.2989116f,
    0.5844215f,  1.8986251f,  -0.9636315f, 0.0380748f,  -0.6920890f, -1.1155023f, 1.5745734f,
    0.1937117f,  0.3340612f,  1.2956441f,  -0.9932612f, 0.1257596f,  -0.9524623f, -1.1178814f,
    -1.0614157f, -0.8517101f, 2.0104105f,  1.5474695f,  1.2632493f,  -0.6851375f, -0.5005971f,
    -0.5717175f, 0.0698095f,  -1.0940997f, 1.9446307f,  -0.9246870f, -0.6994963f, -0.3641893f,
    0.0000000f,  1.8062943f,  -0.5900213f, 1.6513049f,  1.1352854f,  0.3149536f,  -0.6322816f,
    -1.4078009f, -0.6905702f, -1.0783688f, 0.7930229f,  0.1787152f,  -1.0403143f, 0.3677808f,
    1.4897074f,  -1.7823452f, 1.6266716f,  0.6193483f,  -0.0648335f, -0.3073538f, 1.4210170f,
    -1.2802902f, 0.7160530f,  1.0379766f,  -0.1398318f, 1.6871347f,  1.9350135f,  -0.5462706f,
    1.5100158f,  -1.4766164f, 1.2975540f,  1.4294820f,  -0.2228367f, 1.3043804f,  1.2447853f,
    0.6378393f,  1.4810405f,  0.4247466f,  -0.1336998f, -0.2474909f, 0.5172107f,  -1.7462870f,
    0.8966297f,  -0.8064882f, 0.1254648f,  1.8129290f,  -1.1377164f, 1.4646887f,  -0.6150597f,
    0.4077385f,  -0.5536693f, 0.2398680f,  0.0573033f,  0.1153989f,  0.2898435f,  -1.3874212f,
    -1.5343461f, 1.1702138f,  -0.0280758f, -1.0619153f, -1.0504629f, 0.1350270f,  -0.2449915f,
    -0.6402828f, -0.8371485f, 1.7542969f,  -1.9350736f, -0.2549827f, -1.4597613f, -1.8471565f,
    -1.8453004f, 0.1347718f,  -0.6070063f, 1.1970468f,  0.7743537f,  -0.0304407f, -1.0057313f,
    0.6979535f,  -1.6815264f, -0.1046118f, 0.9483518f,  1.0005114f,  -0.8387327f, -1.6116339f,
    0.1512710f,  -0.0158800f, -1.3435846f, 1.5723994f,  1.3066010f,  0.4460894f,  1.6984859f,
    -0.1561844f, -1.0226401f, -1.4533888f, 1.1982824f,  -1.9240611f, -0.6331029f, 1.8692905f,
    -1.3917375f, -0.0764208f, -1.5368943f, 0.9732916f,  0.7999479f,  0.5110137f,  -0.6319124f,
    1.0760455f,  0.0660948f,  -0.3342592f, -1.1800714f, -0.3982556f, 1.5783374f,  -0.6324930f,
    -0.3660600f, -0.1665162f, -1.2119576f, -1.4365820f, 0.1171446f,  1.7871365f,  -0.8037235f,
    1.5195907f,  -0.4917542f, 0.1437439f,  -0.4861742f, -0.0818857f, 0.9500452f,  -0.7665821f,
    1.8494047f,  -0.2309985f, 1.1276221f,  0.1869338f,  0.6770874f,  0.6443614f,  0.2945468f,
    -0.8237266f, 0.6978804f,  -1.7194168f, -0.8978380f, 0.0007324f,  1.8349351f,  -0.2935589f,
    0.0861180f,  0.7486788f,  1.9293142f,  -0.2129861f, -0.0885842f, 0.4500358f,  1.3559143f,
    -0.2891048f, 1.3631039f,  0.3506653f,  0.9825846f,  0.3758223f,  1.8247168f,  -0.0155260f,
    1.0939010f,  -0.8937575f, 1.0316340f,  0.1808190f,  0.4659320f,  0.2895676f,  -0.1360655f,
    -1.0992060f, -0.7953962f, -0.3301940f, -1.2271367f, -0.5455625f, 0.9209741f,  0.6090202f,
    0.6222158f,  1.0062350f,  0.8481389f,  -0.0151531f, -0.3120129f, -0.8177480f, 0.0632413f,
    0.2092604f,  -0.4024175f, 0.6757205f,  0.2827268f,  -1.5677215f, -1.0325561f, 0.2228570f,
    -1.5541938f, 0.8607070f,  0.5461356f,  0.4995401f,  0.5914438f,  1.3134032f,  0.1686423f,
    -0.8120791f, -1.0727568f, 0.4722703f,  -1.7905514f, -0.0131928f, 0.3944307f,  1.0975295f,
    0.4467013f,  -1.7346595f, 0.8191936f,  -1.4405903f, -0.5400613f, 0.9149053f,  0.0415367f,
    -0.6643824f, -1.7949583f, -0.7159943f, -0.9945286f, -0.4239656f, -0.1389170f, -0.5396845f,
    -1.1074776f, 0.6284203f,  -0.5111848f, 0.2284467f,  1.2899711f,  1.6086067f,  0.2416399f,
    0.1477892f,  -1.3921281f, -0.0413853f, -0.9214581f, -1.0655110f, -1.8920320f, 1.5647476f,
    -0.0680915f, -0.3982163f, -1.2335642f, -0.1598841f, 0.7574341f,  -1.8229145f, -1.3759858f,
    0.4630390f,  -0.5659576f, -1.0976453f, -0.8653656f, -0.2211172f, 0.3275958f,  -0.1357991f,
    -0.2563511f, 0.4832505f,  1.3218114f,  -0.0156868f, 0.0588919f,  -1.7606954f, -1.1484845f,
    0.8630182f,  1.0178554f,  0.1295013f,  0.0659560f,  -1.3623257f, -0.7762736f, 0.9503970f,
    -0.0505906f, 1.8299804f,  -1.4031997f, 0.3786538f,  -0.0091816f, -0.4338943f, -1.1010204f,
    1.5651756f,  1.5576780f,  0.2445362f,  -1.5274452f, 0.5077481f,  0.5819415f,  0.0164617f,
    -0.1755849f, -0.2887997f, -0.2752685f, 0.2763667f,  -0.8907113f, -0.4843961f, 0.6947691f,
    -0.9996978f, 1.5379656f,  -0.1179588f, -1.4801985f, 1.0312441f,  1.4085902f,  1.7557991f,
    -0.1165086f, 1.7559373f,  1.3265924f,  1.5562345f,  -1.5566402f, 0.8061186f,  1.0957125f,
    0.1740602f,  1.8251450f,  0.1145100f,  -1.2307386f, -0.8562239f, 0.0553144f,  -0.3010366f,
    1.3540106f,  -0.6297709f, -1.6973236f, -0.7930534f, -0.3727937f, 0.8881981f,  1.2895525f,
    0.0184813f,  -0.2555908f, -1.7652896f, -1.7108610f, -1.3368134f, -0.4472159f, 0.6088127f,
    -0.2046446f, -0.0063965f, -0.4913585f, -0.3829251f, -0.0727765f, -1.3962755f, -0.8405201f,
    0.2697547f,  0.9577264f,  1.1651965f,  -1.8408784f, 0.3207225f,  0.6999019f,  -0.8481500f,
    0.2933566f,  -1.5431585f, 1.9364916f,  0.6192112f,  -0.7369639f, 0.4585739f,  0.4209052f,
    -0.4812133f, 0.3192596f,  0.0787870f,  -0.9404925f, -0.2340709f, -0.4639344f, -1.2975545f,
    0.0869843f,  -1.3740011f, 0.3317493f,  1.3374410f,  0.4468910f,  -1.0487211f, -1.4208929f,
    -0.2856897f, 0.2864693f,  -0.1052895f, -0.3844454f, 0.0749025f,  -1.7076372f, 0.5394004f,
    1.0020560f,  -0.4004219f, 1.4311985f,  0.2730678f,  -0.0861016f, 0.3070854f,  -1.5127575f,
    -0.0913687f, 0.8260468f,  1.3392924f,  0.1974226f,  -0.2438798f, -1.7452325f, -0.3386674f,
    0.0195986f,  0.8654357f,  -0.5910588f, -0.6198704f, -1.2897402f, 0.6415323f,  1.4426431f,
    0.2050975f,  -0.3505379f, -0.9795020f, 0.0364734f,  -1.0712657f, 0.8636579f,  -1.7640467f,
    1.8147112f,  0.4376226f,  0.2472642f,  0.1431924f,  -1.8532406f, -0.0449738f, 1.6196426f,
    1.8046602f,  0.1942326f,  -1.0309946f, 0.0650752f,  1.3774337f,  0.9318232f,  -1.3240123f,
    1.1870497f,  1.0956373f,  0.9904156f,  -1.2449785f, 0.8804052f,  -0.1535655f, 0.3591716f,
    -0.8321343f, -0.5089403f, -0.8354135f, 0.4526332f,  -1.5997708f, -0.1954024f, 1.6510582f,
    -0.3548129f, 0.4027471f,  -1.6402746f, -1.6437572f, 1.6144274f,  1.1736326f,  -0.0655850f,
    -0.3056737f, 0.9913074f,  -1.6041240f, -0.4833589f, 0.5668296f,  1.1027879f,  0.9741628f,
    1.1811523f,  1.1604499f,  0.6828287f,  -1.8255128f, 1.4955660f,  0.8115715f,  -0.0839925f,
    -0.0065589f, -0.6314961f, -0.2436513f, -1.7654172f, -0.2708299f, 0.8201010f,  -1.1131054f,
    0.3202438f,  -0.7780394f, -1.2240648f, -0.0715200f, -0.1347571f, 0.2738935f,  -0.4645420f,
    1.2945327f,  0.0468873f,  0.3391739f,  0.4936269f,  1.3373599f,  -1.2475871f, 0.1864540f,
    -0.5153191f, -0.7154647f, 0.7476788f,  -0.6635548f, 1.2081788f,  -0.0051815f, 0.6724714f,
    -0.5267005f, -0.9096234f, -0.7689260f, -0.9166088f, 0.5227389f,  -0.1932310f, -1.9319699f,
    1.0737847f,  -1.3615043f, -1.3867904f, 1.0969730f,  0.8992106f,  -1.0180035f, -1.0288082f,
    -0.7203560f, 0.1335619f,  1.4522320f,  1.6301874f,  0.1203869f,  -0.2100303f, -0.5956706f,
    1.0144543f,  -1.9044662f, -0.0574323f, -0.0735332f, 0.0322276f,  -1.3488718f, -0.9238515f,
    -0.1681195f, -1.2209662f, -0.2512684f, -0.6415212f, -1.4285654f, 1.6249866f,  1.7415447f,
    -0.5885422f, 1.8868266f,  -0.5694364f, 0.0512070f,  0.0353703f,  -1.3468988f, -1.0169839f,
    1.8452025f,  -1.8422593f, -1.5125534f, 0.8264309f,  1.3806445f,  0.8607766f,  0.6951756f,
    -0.3672209f, -1.3689180f, 0.3022627f,  0.1007236f,  -1.0466870f, -1.1437818f, 0.2483713f,
    1.2583021f,  -0.6681289f, 0.2007174f,  0.8291155f,  1.7260173f,  0.5966349f,  -1.9169897f,
    -0.1782820f, 0.1694389f,  -0.9822147f, 1.3296064f,  -0.2008710f, 0.2714767f,  -0.4307621f,
    1.6757346f,  -1.5842912f, 1.7821332f,  0.6044098f,  -0.8953334f, 1.3944017f,  -0.1697036f,
    -0.7603538f, 1.4229229f,  0.8175510f,  -0.0887635f, -1.0238115f, 0.6226204f,  -0.0267201f,
    0.3431255f,  -0.3707960f, -0.6162673f, 0.0569537f,  1.4814017f,  -0.0021403f, 1.0819884f,
    0.8084390f,  0.5768691f,  1.4643184f,  0.9451260f,  0.1626278f,  -1.6250160f, 1.8555284f,
    0.6567931f,  0.0864221f,  1.3931216f,  -1.0365898f, -0.3691260f, -0.4398132f, 1.9299445f,
    -1.4070574f, -1.1123782f, 0.0837274f,  -1.2205262f, -0.0354869f, -1.8253130f, 0.8811828f,
    0.5606846f,  -0.2858316f, -0.5352957f, 1.6957021f,  0.1504104f,  -1.8260253f, 0.2797505f,
    0.0701521f,  -0.5665705f, -1.0300486f, 0.6740752f,  0.1065385f,  -1.3681734f, -1.6693023f,
    -1.3128315f, -0.0052916f, 0.9286923f,  0.7899483f,  -0.8585076f, 1.2723521f,  -0.8192781f,
    -1.0903995f, -0.0293576f, -0.1046079f, -0.6443579f, 1.8036455f,  -0.1695888f, 0.1088495f,
    -0.6321775f, 0.7536955f,  1.7885722f,  1.3698101f,  0.0004042f,  1.5841360f,  -0.4772714f,
    0.6051798f,  0.5576661f,  -0.6797625f, 0.5477455f,  0.2274112f,  1.4898189f,  1.0603107f,
    -0.5498671f, 1.4832143f,  -1.5793006f, 0.8584497f,  -1.7563872f, 0.2199316f,  0.4088082f,
    -0.5316937f, -1.5018613f, 0.1542948f,  -0.8760120f, 0.5119160f,  -0.0142678f, -1.0678514f,
    -0.6780606f, 1.6905062f,  -1.8181905f, -0.3609029f, 0.8782175f,  0.6475574f,  0.0982451f,
    -0.4762749f, -0.9603097f, -1.6218476f, -1.7040907f, 1.7891270f,  -1.3059163f, -0.1288172f,
    0.2358602f,  -0.3047265f, -1.5409844f, -0.2934810f, 0.5311348f,  1.2200191f,  1.7992752f,
    -0.0297435f, 1.3972355f,  -1.5167799f, 1.2344496f,  0.0000000f,  0.0000000f,  -0.3996239f,
    0.7796314f,  1.4806119f,  -0.2446214f, -1.6825609f, 0.6841063f,  -0.4478600f, 0.7118625f,
    0.1224617f,  0.6730555f,  -1.2184158f, 0.9580606f,  0.1287922f,  -0.1809396f, -0.8356398f,
    -0.5840233f, 0.9139904f,  -0.1091199f, -1.0350314f, 0.3675803f,  0.7852779f,  -1.2056350f,
    -1.6882734f, -0.8096504f, 0.0382484f,  -0.8458870f, -0.8518528f, 0.9152398f,  0.3909236f,
    0.0751277f,  1.1695693f,  -0.4635187f, 1.5997820f,  1.8253666f,  -0.3981061f, 0.0763442f,
    -1.7259994f, 0.1462635f,  0.0088560f,  0.9258188f,  -0.2426326f, -0.1996825f, -0.6448605f,
    0.4254279f,  1.3649570f,  0.3435268f,  0.8911497f,  -0.6947473f, -0.0057917f, 0.2277661f,
    -2.0819063f, 1.7282509f,  1.0136488f,  1.2459252f,  0.4598524f,  1.1701351f,  1.9542306f,
    0.1213639f,  1.0806851f,  -1.0944108f, -1.6672116f, 0.5029457f,  -0.0358623f, 0.0562701f,
    -0.0158661f, 1.1425354f,  -1.2906498f, 0.5705202f,  -0.6519920f, -1.0694884f, -1.9815833f,
    0.2410499f,  1.6559787f,  -0.5889676f, 0.1019957f,  0.0352460f,  0.6149168f,  -1.3180651f,
    0.0553567f,  1.0460354f,  0.0472742f,  0.2281361f,  1.5961733f,  -1.6354475f, -0.5786347f,
    1.1375055f,  -0.3808127f, 0.1091960f,  -1.0194085f, 1.5456928f,  -0.2288435f, -1.2684369f,
    1.6172051f,  -0.2489067f, 1.9294527f,  -0.3567857f, 1.4094500f,  1.8804225f,  0.5733471f,
    -1.7959788f, -1.1691897f, -0.0100839f, 0.4213630f,  -0.6976164f, -1.6951084f, 1.1008172f,
    -1.6528273f, 0.3773507f,  -0.3991525f, 0.4136134f,  0.9769370f,  -0.0136391f, -0.6894343f,
    0.1809191f,  -0.2438930f, 0.3899026f,  0.0361936f,  -0.1766651f, 1.8603822f,  1.9524563f,
    0.8184356f,  -1.6748653f, 0.3290717f,  0.1471599f,  -0.5057416f, 0.4093175f,  -1.6228129f,
    -0.0002991f, 1.8964499f,  -0.5955071f, 0.0671614f,  0.1777123f,  -0.2399921f, 0.0173822f,
    -0.0362161f, 2.0807151f,  -0.6364788f, -1.1714598f, 1.2629075f,  1.9103972f,  0.1116418f,
    -0.1173335f, 0.8073981f,  -0.3568919f, 0.9203977f,  -1.8204829f, 0.4124665f,  -1.5746354f,
    -0.0679132f, 0.3313236f,  0.7087179f,  -2.0364755f, -0.1381929f, -0.0598453f, -0.0993365f,
    1.1960101f,  0.6177427f,  1.2478392f,  -1.0386670f, 0.1474131f,  -0.2690896f, -1.2138496f,
    -0.7974729f, 1.1585848f,  -0.0626901f, -0.0713774f, -0.2558810f, 0.0856641f,  0.0477223f,
    -0.7533244f, -0.7622521f, 0.0806778f,  1.9151785f,  -1.1607119f, 2.0308011f,  -1.7697135f,
    -2.0602560f, -1.1889999f, -0.0792296f, -1.2102108f, -0.7651231f, -0.0031763f, -0.3472257f,
    0.5272062f,  -1.6339714f, -1.4067649f, 0.4184759f,  -1.4919091f, -1.7348453f, 1.2467940f,
    -0.3408011f, -2.0499611f, -0.0462346f, -0.0138305f, 0.6835194f,  -0.5054795f, 0.0089933f,
    -0.1918580f, -0.1762051f, -1.0647943f, -1.5460032f, -0.9156198f, -0.0766068f, -0.2170777f,
    -1.5588527f, -0.0402924f, -0.3667444f, 1.7822484f,  1.7077957f,  1.2482757f,  0.2645124f,
    1.9874327f,  -0.7549137f, 0.6198569f,  -0.9764152f, 0.6090122f,  -0.6769997f, 1.8133890f,
    0.0695938f,  1.7292268f,  0.3393557f,  1.1146018f,  -1.8332467f, -2.0467267f, -1.1273132f,
    -1.4012405f, 0.1870737f,  0.4041786f,  -0.3380890f, -1.8398949f, -0.6619926f, 0.3664670f,
    -0.5822174f, 0.0464941f,  -0.9968455f, 0.2865934f,  1.5526263f,  0.8728710f,  0.6524718f,
    1.8256274f,  2.0845339f,  -0.4921320f, -0.2407214f, 0.1172588f,  -0.8625889f, 1.6362725f,
    -1.8949736f, 0.0140464f,  0.0195148f,  0.0100208f,  0.8105963f,  -0.4230574f, -0.3653303f,
    -1.1069288f, 1.6739299f,  -0.8975872f, 1.0455999f,  -1.2500275f, 1.2427119f,  -0.6018647f,
    1.1064219f,  0.1487487f,  0.6650861f,  -0.0038972f, 0.0246216f,  -0.3856983f, 1.0638071f,
    -0.0487118f, 1.3493896f,  0.3426183f,  -1.9200251f, 0.2729197f,  0.9329404f,  -0.0001160f,
    0.2245769f,  0.1985871f,  -1.3484734f, -0.1107956f, 0.5068604f,  0.3223600f,  -0.1253762f,
    -0.5345746f, 1.2324710f,  -0.1630545f, 1.3394885f,  1.2991170f,  0.7131967f,  -1.7672498f,
    -0.0154467f, 1.6545886f,  -0.7517391f, 1.2994949f,  0.2410459f,  0.4911108f,  -0.7212614f,
    -0.0417326f, -0.2702171f, 0.0667124f,  0.0226078f,  -1.8090333f, 0.1607800f,  -0.8838611f,
    0.8816905f,  0.2706411f,  -0.7657295f, -0.5688920f, 1.4327011f,  1.5412498f,  -1.0188976f,
    -0.7997296f, 0.0355784f,  -0.1918535f, -0.0244172f, 1.3759050f,  0.7460174f,  -1.5375478f,
    0.3547517f,  -1.0644861f, -0.0265652f, -1.6579163f, -1.3167402f, -1.1255353f, 0.0000000f,
    0.0000000f,  -1.0166895f, 1.6407660f,  1.6719168f,  0.4228591f,  1.0496585f,  -1.8985175f,
    -1.4022216f, -1.8889451f, -1.1615515f, -0.4303326f, 1.7313079f,  -0.8756418f, 0.4494641f,
    0.1965520f,  -1.7073329f, 1.3083310f,  0.1596103f,  -0.3202015f, -1.9234159f, -1.7119240f,
    1.4059402f,  -1.7336417f, -0.3502909f, -1.5873131f, 0.0602952f,  1.0973627f,  -0.7133257f,
    -1.9037507f, 1.7254726f,  0.2791514f,  0.5506910f,  -1.8265369f, 1.4908779f,  0.6265535f,
    -1.3621383f, -0.4207212f, -0.3396992f, 0.2777283f,  0.1239068f,  -1.3524493f, -1.7383694f,
    -1.3581873f, 0.3023844f,  0.9146825f,  -0.8237186f, 1.2276178f,  -1.2144539f, 0.7859217f,
    0.0668563f,  -0.5560386f, -0.0797726f, -0.2960793f, 0.1295589f,  -1.8466057f, -1.4209349f,
    1.8502624f,  0.0727169f,  -0.9690076f, -0.5546781f, -0.0652984f, 0.4329713f,  1.3651546f,
    0.2840275f,  0.0585059f,  0.0269012f,  0.5639743f,  1.1770221f,  -0.7633997f, 0.9456112f,
    0.2866726f,  0.8115920f,  1.5426390f,  1.2485061f,  -0.0528016f, -1.7476096f, -1.4733000f,
    -1.4373202f, -0.2638308f, 1.0714391f,  0.5033305f,  1.1147209f,  -0.6879783f, -0.3709002f,
    -0.0387115f, 0.3894545f,  1.1481427f,  -1.6849466f, -0.4926577f, -1.2882445f, 0.3785493f,
    1.8259951f,  1.7827722f,  1.2221641f,  0.3981725f,  -0.7068421f, -0.4646945f, -1.6820093f,
    0.1974607f,  -0.4754609f, -1.2687178f, -1.4539218f, -0.1983119f, -1.3136257f, -1.8886776f,
    0.1706437f,  -0.6624412f, 1.4497834f,  0.9177618f,  -1.2033835f, 1.1303905f,  0.7873475f,
    -0.0868473f, 1.9607246f,  -0.6746206f, 0.1521830f,  0.4358043f,  -0.3154423f, -0.5963280f,
    -0.7800119f, 0.1491863f,  1.1055819f,  0.1455666f,  1.7939694f,  -1.5705353f, -0.9580014f,
    0.3606194f,  -1.0838292f, -0.0350512f, 0.9858637f,  -1.3126685f, 0.6628458f,  1.5980529f,
    1.4750432f,  -0.0466705f, 0.9812506f,  -0.0019368f, -0.8560571f, -0.6617561f, -0.1930522f,
    0.8682525f,  0.1951696f,  -0.4900547f, 0.1710105f,  -0.9693495f, 1.9614505f,  0.2669921f,
    0.2802608f,  -0.6299866f, -1.1599160f, -0.5640443f, 0.9881699f,  -0.0407601f, -1.0616061f,
    0.7544581f,  -0.7057964f, -0.4014345f, -0.8790896f, 0.5615237f,  -0.2866222f, -1.4923052f,
    1.6044590f,  -0.7703066f, 0.4832114f,  -0.2878548f, 1.6036018f,  -0.0188093f, 0.9535029f,
    0.6012566f,  0.4152648f,  -0.0369128f, -0.6064707f, -0.0291896f, -0.1639123f, 0.5178926f,
    -0.5623450f, -0.6329981f, -0.3915825f, 1.6786940f,  1.5406295f,  0.5000492f,  1.7822421f,
    -0.0221350f, 1.2196019f,  -1.1364793f, -1.0073108f, -1.0891427f, -0.2631894f, 1.3672569f,
    1.3534848f,  0.2691986f,  0.7879272f,  -0.0347857f, 0.3362011f,  -0.0727985f, -0.8669362f,
    0.5315320f,  0.8695303f,  0.7127443f,  -0.7134443f, -0.4617265f, 0.0994398f,  0.2738898f,
    0.1851556f,  -1.5012513f, 0.8310468f,  -0.3567848f, 0.3062269f,  -0.4972226f, -1.3923951f,
    1.1680166f,  1.1463651f,  0.3506622f,  -1.9703184f, 1.5695480f,  -0.4914306f, 0.3169309f,
    1.9078666f,  -0.0375233f, -0.6276378f, -1.1575434f, -0.6323571f, 1.7584989f,  0.0628573f,
    0.5255206f,  1.8966917f,  -0.4028686f, 0.0623092f,  -0.8618425f, 1.3870901f,  -0.4449313f,
    -1.1582863f, -1.8841866f, 1.6692776f,  -0.0043492f, 0.7886986f,  0.3181874f,  -0.4670260f,
    -1.0660134f, 1.9420000f,  0.0408973f,  0.0813102f,  1.1148199f,  1.7261333f,  -1.3860042f,
    -0.4152443f, 0.2324134f,  0.1700468f,  -0.0557892f, -0.1588349f, -1.6588794f, 0.0976538f,
    -0.8817506f, 1.4186335f,  0.8706760f,  0.0225548f,  -1.0092058f, -1.8412782f, -1.4651724f,
    1.6038358f,  0.4343401f,  -1.0188096f, 1.1059822f,  -1.2384166f, 0.0053658f,  0.1101317f,
    -0.4463877f, -0.1296239f, 0.2232560f,  -1.5197364f, 0.7598762f,  -0.9751112f, -0.1243538f,
    0.8234684f,  0.0083765f,  -0.1710693f, 1.8122188f,  -1.7456516f, -0.2824085f, -0.2530891f,
    0.7899440f,  -0.5289619f, -0.4512400f, -1.3143673f, 1.2815527f,  0.7621091f,  -0.4356907f,
    1.1420150f,  0.2906050f,  0.0703848f,  -1.3420570f, -0.1168039f, 0.7213959f,  1.0250078f,
    1.1956889f,  1.5164781f,  0.4875237f,  -0.8557146f, -1.6662000f, 0.0140809f,  0.0481349f,
    0.2961504f,  1.3019078f,  -1.5439045f, -1.1984912f, 0.9198543f,  1.2081152f,  0.5119611f,
    0.0164078f,  0.2236974f,  -0.9047406f, 0.0498025f,  0.7548407f,  -1.0517909f, -0.6515254f,
    1.7623574f,  -1.6354108f, -0.4334242f, -0.1514641f, -0.4186985f, 0.7456440f,  0.7067809f,
    1.0716117f,  -0.0000000f, 0.0000000f,  1.7527993f,  0.8552404f,  -0.1668896f, 2.1930320f,
    0.7740737f,  0.9897664f,  0.6693221f,  0.2370826f,  -1.9132272f, 1.3753417f,  0.1846502f,
    0.8023639f,  0.5567549f,  -0.0357486f, -0.8178017f, 0.4307349f,  1.4915722f,  2.0333059f,
    -0.5330183f, 1.4064658f,  -0.6189190f, 0.1826246f,  -0.8526876f, -0.7736117f, 0.0269301f,
    0.8991743f,  0.0040893f,  0.7266358f,  1.3811916f,  0.3770073f,  1.2389013f,  -1.2302482f,
    -0.1335622f, -0.5031879f, -1.2851635f, -1.9580485f, -1.1138943f, -2.1134282f, 0.5673658f,
    0.4309118f,  -0.1855519f, 1.5973639f,  -1.4286041f, 0.6117210f,  -0.2100362f, 1.2661463f,
    -0.8035805f, 1.4417782f,  -0.2872751f, 1.2925922f,  0.8511991f,  1.3343808f,  -0.2657903f,
    0.2766295f,  1.2115577f,  0.0570113f,  1.2657625f,  1.6353648f,  -0.1876124f, 0.2942758f,
    1.0426197f,  -0.2191811f, -0.7619870f, 0.0090246f,  -0.0135679f, -0.5822057f, -0.0031019f,
    0.2346266f,  -0.3350248f, 0.9781031f,  0.6771372f,  1.5972682f,  -0.6329424f, 1.9654558f,
    1.0647360f,  0.2694581f,  0.9356686f,  -1.4761299f, 1.8548983f,  -0.1924073f, -1.9473750f,
    0.7057536f,  0.5301354f,  -0.3661513f, 0.0512031f,  0.0930157f,  -1.4164408f, -2.0605781f,
    -0.2873355f, 0.3714842f,  -0.7581564f, -0.2906886f, -0.2082764f, -0.1804008f, -0.5677778f,
    -0.1393604f, 0.1112512f,  1.3040699f,  0.0003298f,  0.4173995f,  0.5590020f,  -0.9034825f,
    -0.6912218f, -0.2451218f, -1.5242930f, -1.1063097f, 0.2059173f,  1.0053500f,  -1.0937917f,
    -1.5824605f, -0.7265363f, 1.2124086f,  -0.6032407f, 0.8563208f,  2.2183375f,  0.0855037f,
    0.8793819f,  -0.6979261f, -0.8438843f, -0.6303744f, 0.2315628f,  1.0841603f,  0.2737411f,
    -0.1868491f, -0.5348747f, -2.1334642f, 0.2585492f,  -0.4550639f, -0.6820521f, 0.7094248f,
    -1.2210151f, -0.7230654f, -0.0196957f, 0.0440350f,  -1.8689732f, 1.6189751f,  -0.2618556f,
    0.3532306f,  -0.5514204f, -0.5352646f, 0.1030579f,  -1.3165997f, -1.5751469f, 1.0127845f,
    0.5897007f,  0.5474601f,  -0.0339339f, 1.0139749f,  -1.8444924f, -2.1323996f, 0.3189365f,
    -1.4927967f, -1.6657000f, -1.6396463f, -1.3608234f, -0.6004047f, -1.5019965f, -1.1138069f,
    1.0493186f,  1.6758106f,  0.1933066f,  -0.1232709f, 0.1006028f,  -0.2889706f, 1.2672441f,
    0.0165134f,  1.9852240f,  1.2286291f,  1.0692527f,  -1.4909797f, 1.4623246f,  -0.0167462f,
    1.3332826f,  -1.2799997f, -0.7902861f, 0.4695072f,  0.8166975f,  -0.3718517f, -1.6152614f,
    0.4700870f,  -0.9416863f, -0.0588837f, -0.5766580f, 0.6141835f,  0.8188464f,  0.1174532f,
    -2.1461861f, 0.5854023f,  0.3205220f,  -0.3213836f, -0.5882225f, -1.5858314f, 1.7863914f,
    -0.1444479f, -1.3730664f, -0.0812189f, 1.8909298f,  -0.8935855f, 2.1188102f,  0.2134202f,
    -0.1421921f, 0.2131250f,  -0.1531334f, 0.0401978f,  0.3059219f,  1.7657863f,  1.3211095f,
    -0.5002057f, -0.2841601f, -0.8035096f, 0.7428830f,  -0.9151357f, -0.6885528f, 1.0480295f,
    1.1847087f,  -1.2849941f, -0.9817636f, -0.5548681f, 1.3942885f,  -0.3191240f, 0.3587913f,
    0.4860582f,  0.5643044f,  0.7501672f,  -0.1909299f, -1.3492945f, -0.0403320f, 0.5746514f,
    -1.4353404f, 0.5390258f,  0.8682917f,  0.7816853f,  0.2127439f,  -0.0118480f, -0.9543442f,
    1.3928050f,  -1.0683991f, -0.2699256f, 0.9068953f,  1.5919156f,  -0.8441392f, -0.7675612f,
    -1.3906903f, -1.6694571f, 0.1539020f,  -1.0875881f, -1.2330277f, 0.0821363f,  0.4710054f,
    -1.1870372f, -1.5801304f, -0.5688461f, -1.4021237f, -0.0289795f, 0.4671268f,  -0.4824959f,
    0.0187992f,  -0.2007932f, 0.2811305f,  1.8597034f,  0.0323661f,  -0.8838721f, -0.4506497f,
    0.7832683f,  -1.4242606f, 2.1303873f,  -0.2808035f, 1.7341934f,  -0.4595336f, -2.0334522f,
    0.6532527f,  -0.0487648f, 0.0175807f,  -0.1735851f, -0.0077357f, 0.8831448f,  -0.1846996f,
    -0.2485206f, -1.3116137f, 0.6326883f,  -0.7778696f, -0.0058945f, 0.1260572f,  1.7612974f,
    -0.2218005f, 1.3381812f,  0.4690691f,  -1.0346031f, -0.1200334f, -0.5425327f, 1.2894692f,
    0.4782854f,  1.2901018f,  -1.2931732f, -0.8414086f, -1.3164394f, -1.0821090f, -0.8310489f,
    -0.0024408f, -1.5889190f, -2.1385130f, -0.4315002f, 0.6436042f,  1.4263805f,  1.0252781f,
    1.0379305f,  1.1538547f,  1.5704469f,  0.2552603f,  -0.8724377f, -1.5352718f, -0.9843907f,
    1.9539091f,  0.5245775f,  -0.0896745f, 0.1595219f,  0.1111239f,  0.2788800f,  -1.3061903f,
    0.3831929f,  -0.5548629f, -0.0526309f, -0.0000000f, -0.4377387f, -0.3270660f, 0.5454340f,
    1.1669720f,  -0.7560749f, 0.7979523f,  -0.7030623f, 1.0725447f,  -1.1629644f, 0.1393110f,
    0.4500294f,  1.1676679f,  1.0117640f,  -1.2010551f, -1.0759543f, -0.6489080f, -1.1386418f,
    0.1821631f,  -1.4371376f, 1.0290134f,  0.2753609f,  -1.0363621f, -1.1681316f, 1.0077125f,
    0.5951529f,  0.5408088f,  0.8380427f,  1.1831268f,  0.8851230f,  0.2951959f,  1.3895871f,
    -0.7101183f, 0.5218600f,  -1.1675042f, 0.6785342f,  -0.3020808f, -1.4939277f, -0.8563891f,
    -1.2844569f, -2.4373725f, 0.8920282f,  -1.1728978f, 0.4260622f,  0.3142784f,  0.0205042f,
    -1.0616707f, -0.5143066f, 0.9129672f,  -0.6864776f, 2.4647712f,  -0.5149361f, 0.0690292f,
    0.6543905f,  0.2993150f,  -1.1369825f, 0.1428844f,  -1.1817068f, 0.7438819f,  1.0862475f,
    0.9890196f,  0.1405286f,  -0.3354457f, -1.1713521f, -2.1313362f, 1.1068732f,  -0.3870571f,
    -1.1107618f, 1.1831984f,  -0.8811577f, -0.7931640f, 0.9778267f,  -0.6956003f, 0.0246839f,
    -0.9361040f, -0.1494674f, -0.8362785f, 1.1624129f,  0.2098527f,  -0.3676613f, -0.7730465f,
    0.9513941f,  -0.4279451f, -0.7963183f, 1.1196863f,  -1.1539786f, -1.1420279f, -1.1652098f,
    -0.2040366f, 1.2458733f,  -1.0397195f, 1.1527081f,  -1.0059169f, 1.1238487f,  1.1270582f,
    0.5309169f,  -0.6895022f, -0.8880142f, 1.1736535f,  -0.7006040f, -1.1832146f, -1.0309562f,
    1.0444094f,  -2.3358200f, -1.0170524f, 1.1616978f,  0.3321729f,  -0.5121844f, -1.1463696f,
    0.8605433f,  0.3706665f,  0.5126572f,  1.0673620f,  -2.3270119f, 1.0438952f,  1.1536988f,
    0.9079442f,  -1.0589908f, 2.1183166f,  -1.0570506f, -0.6147778f, -0.1598471f, 1.1701954f,
    0.1132209f,  -1.1600862f, 1.1728402f,  -0.3042919f, -0.2463865f, 1.0806150f,  2.5874190f,
    0.7930595f,  -0.9980332f, -0.5764140f, 1.0440098f,  1.1831126f,  0.7337388f,  0.9131541f,
    0.0221134f,  0.8873562f,  1.1563366f,  1.1194933f,  -0.8084961f, -0.3247801f, -0.4445523f,
    -0.6031761f, 0.7889913f,  1.0187982f,  -0.3139049f, -1.1475525f, 0.4837734f,  -0.6149370f,
    -0.3451545f, 0.8603287f,  0.4630894f,  0.9262051f,  -1.4160880f, -1.5219118f, -1.1069591f,
    -0.6280539f, -0.4329865f, -0.9453079f, 0.0161528f,  1.1717274f,  -1.1798123f, 1.0917048f,
    -0.5565619f, -0.7102318f, 0.6054406f,  0.1206083f,  -1.6767744f, 1.9799816f,  0.0397963f,
    0.6813266f,  0.7914201f,  -0.6720062f, -0.6634425f, 0.4783375f,  -0.7104674f, -0.3375465f,
    -1.0612067f, -0.2285041f, -1.1362737f, 0.5965124f,  2.2396150f,  -1.0895181f, -1.0797896f,
    -0.7637911f, -1.1573668f, 0.2618636f,  -0.9987142f, 1.0928434f,  -0.4865362f, 0.1930064f,
    -0.2357032f, -1.7696606f, -1.9652108f, 0.7336316f,  1.1098041f,  1.0633953f,  -1.1161592f,
    0.6968331f,  0.8854344f,  1.1788990f,  -0.6641096f, -0.4644143f, -1.1827855f, -0.9746416f,
    1.7755185f,  0.2573803f,  0.5751050f,  -1.1132711f, 0.8680841f,  -1.0184955f, -0.2860122f,
    -0.9851981f, -0.2415052f, -0.3854370f, 0.2583373f,  -0.7234594f, -0.0451343f, -1.6554286f,
    1.0581846f,  0.2424168f,  -0.9997701f, 0.0744231f,  0.4639927f,  -1.1660801f, 0.6025635f,
    -0.7398228f, -0.0154869f, -0.3507561f, 0.4998533f,  -1.0061797f, 0.9814759f,  -1.1678603f,
    -0.2257184f, 0.9301058f,  -0.3007942f, 0.3600396f,  1.1665625f,  -0.8316231f, 0.0952617f,
    0.0707205f,  0.0208350f,  0.4584193f,  0.2939085f,  -0.9590032f, 0.1803236f,  -0.7699610f,
    -1.5600061f, -2.2702571f, -0.7644561f, 0.5997958f,  0.0730079f,  0.2830038f,  1.1830267f,
    -1.1350202f, 1.1251238f,  1.1830673f,  1.1341142f,  1.1055686f,  0.2826323f,  1.1805003f,
    0.9149470f,  -1.1353020f, 2.5258194f,  -2.1926173f, -0.2674658f, 0.2849098f,  1.8907135f,
    -1.0803303f, 0.1219731f,  0.7998315f,  -0.9369381f, 1.1819624f,  -2.6326665f, 1.1777089f,
    0.9414248f,  -1.1588149f, 0.5809377f,  0.2090555f,  0.3186035f,  1.4351299f,  -1.1827322f,
    -1.1587338f, 0.1892204f,  -1.0323948f, -0.6056917f, -0.6845070f, 0.9117977f,  1.7769598f,
    1.0006667f,  0.0940610f,  -1.1297539f, 0.9008965f,  -0.7632983f, -0.4355441f, 1.8780498f,
    0.7861603f,  0.9914629f,  1.1149256f,  -0.1088952f, 1.2017482f,  0.8641540f,  -0.7270996f,
    -0.6711871f, -0.7179840f, 0.9230757f,  0.8092050f,  -0.0267604f, 0.5011144f,  -0.9703045f,
    2.1254288f,  1.1480363f,  -0.6128400f, -1.1190618f, 1.1803279f,  1.1668730f,  0.9677359f,
    -0.3312575f, 1.9790093f,  0.8612975f,  -1.1103487f, -1.1766816f, -1.6201851f, -2.1999115f,
    -0.5620009f, -1.3998299f, 0.2176955f,  -0.4103501f, -0.9220082f, -1.0644473f, 0.2803525f,
    -0.2017632f, 0.8939335f,  0.6011488f,  -0.1948500f, 0.2823330f,  -2.0960616f, -0.7136714f,
    1.2843349f,  0.1670858f,  -0.5825431f, 0.4478018f,  -0.6668513f, 1.2478210f,  -0.4949519f,
    -0.1912821f, -0.1090920f, -1.3844764f, -1.6450727f, -0.7200769f, 0.0201098f,  0.9173581f,
    -1.2537641f, 2.0686839f,  0.4007150f,  -1.1218658f, -0.2344605f, 1.2343221f,  -1.7450167f,
    -0.6237436f, 0.1679884f,  0.3526839f,  -0.8480913f, 1.0743131f,  0.1219004f,  0.7318993f,
    0.6346922f,  -1.9450490f, 0.6949745f,  -1.8152210f, -0.6602063f, 0.3125720f,  -0.9103595f,
    -0.6832011f, 1.3753994f,  0.2361554f,  1.5459507f,  -0.3806042f, -1.7313742f, 0.0626359f,
    -0.0466399f, -1.4670601f, -0.8799431f, 1.5818310f,  1.1538724f,  -0.0930370f, 1.3293423f,
    -0.6038891f, -1.7912689f, -0.0857398f, 0.0085514f,  -1.1539105f, -1.2815981f, -0.0715409f,
    1.1290598f,  1.3032683f,  -0.7750478f, -0.0312078f, -0.6655320f, 0.1529690f,  1.6840444f,
    0.4448459f,  -1.2396342f, 0.9539618f,  1.0191666f,  2.1159790f,  0.0621160f,  0.0041939f,
    0.4297931f,  0.2783796f,  1.3115958f,  0.6320012f,  0.7725530f,  -0.0422312f, -0.5097028f,
    0.4467327f,  0.4578327f,  1.6457657f,  1.1943932f,  1.1565885f,  0.1824610f,  0.1405024f,
    -0.0025012f, -0.6892143f, 0.5326939f,  -0.8293218f, 0.4747689f,  -0.2071405f, 0.3146789f,
    0.9585654f,  0.3545179f,  -0.4948995f, 1.8917801f,  0.5469946f,  0.1516328f,  0.2699925f,
    0.5442179f,  -2.0063473f, 0.1569863f,  0.7632931f,  -1.2744370f, -2.0892800f, 1.1032670f,
    -1.4767439f, -0.0828212f, -1.1941908f, 0.1891753f,  -0.1157622f, 1.7798002f,  0.2682438f,
    0.6187579f,  0.3110670f,  0.9992937f,  -0.5219119f, -0.7231117f, 0.3697540f,  0.0100103f,
    -2.2305164f, -1.2043153f, 0.0549818f,  -1.1363890f, 0.0626996f,  -0.0273312f, -1.0635936f,
    1.8396135f,  0.7270005f,  -0.0722931f, 0.6708437f,  -0.6541997f, 1.4643983f,  -0.4020807f,
    1.0801711f,  -1.2444271f, -0.4476389f, -1.1720132f, -0.0504540f, 1.4707021f,  1.2983028f,
    -1.5207699f, 0.0622127f,  0.3735989f,  -1.0198429f, -0.0768828f, -1.1934883f, -0.1267734f,
    0.0278816f,  -0.6273212f, 1.4042025f,  0.6921093f,  1.3964687f,  0.6975801f,  -1.5139741f,
    1.3240361f,  -0.6317244f, 0.2401911f,  -1.2117501f, -0.1242467f, -0.4193552f, -1.2569793f,
    -1.2141220f, -1.3224540f, -0.6643204f, -1.0263369f, 0.0615618f,  1.2741997f,  1.3828359f,
    -0.2832738f, -0.2754874f, -0.9370396f, -0.3241038f, 0.1966377f,  0.6560569f,  -0.5442038f,
    -1.4445375f, -2.0493139f, 0.0907233f,  -0.6004512f, -1.7104364f, -0.3288292f, 0.5867403f,
    1.1274901f,  1.9999012f,  -0.6955103f, 1.0624642f,  0.0039657f,  1.3293592f,  2.1996296f,
    -0.0206472f, 0.8770207f,  -0.6458815f, -0.8707137f, -1.3290395f, 0.4813619f,  0.7652857f,
    0.3817802f,  -1.2796227f, 0.6741489f,  1.5903913f,  -0.9740122f, 0.9226900f,  -1.0341724f,
    1.5209821f,  1.3826138f,  -0.6628225f, 1.8699004f,  0.7914043f,  -1.5153895f, -1.2910052f,
    -0.2133518f, -0.3690864f, -1.2703892f, -1.9590092f, 1.6412010f,  1.3693875f,  -0.2819038f,
    0.5782209f,  0.1610036f,  1.5910396f,  0.3340156f,  0.7204666f,  -1.1160492f, -0.0824625f,
    0.8795350f,  -0.2723345f, 1.3795866f,  1.8888017f,  1.0244036f,  -0.8343660f, -0.9465863f,
    1.1758058f,  -0.1029593f, 2.0186084f,  1.2512309f,  0.6795947f,  0.0413832f,  -1.9286514f,
    -1.6451997f, 0.0073658f,  0.0032119f,  -0.1690784f, 0.0187348f,  -0.4413306f, -0.5402901f,
    -0.2375862f, 0.1089830f,  0.5418459f,  0.1622661f,  0.0272302f,  0.2806843f,  0.3372378f,
    -1.5482935f, 0.4269501f,  0.4896048f,  -0.5432849f, 1.0084436f,  0.9979990f,  -0.0751503f,
    0.1971385f,  -0.1603581f, -0.5867017f, 0.2875841f,  2.2077852f,  -0.9080259f, 2.0776206f,
    1.9322442f,  0.0475435f,  -0.3183036f, -0.8139420f, -0.7709822f, -0.3988817f, 1.4014023f,
    0.1233383f,  -1.8752771f, -0.6865769f, 0.9726495f,  0.1117857f,  1.8122364f,  -0.4508361f,
    -1.5326881f, -1.2233151f, -0.5595564f, -0.4578374f, 0.5525969f,  -0.2803460f, -0.3596624f,
    1.1282347f,  -1.2668404f, 1.7127499f,  0.7895668f,  -0.3572274f, -0.2902107f, 0.3967159f,
    -1.4485465f, 0.3427871f,  -0.1154897f, -1.9483022f, 1.0640379f,  -0.1114079f, 0.0743110f,
    0.2241616f,  0.9973701f,  -1.5316115f, 1.0924996f,  -1.0518510f, -0.1306523f, -0.1685293f,
    0.0000000f,  -1.3511984f, -1.4224627f, -0.8415551f, -0.4495853f, 1.0903801f,  -0.1845088f,
    0.1382239f,  1.3801856f,  -0.3060362f, -0.9716353f, 0.3982223f,  -0.0931317f, 1.0901869f,
    -0.7863743f, 1.9570180f,  0.7970863f,  -1.4326333f, 0.1731686f,  0.6917001f,  -0.4344793f,
    0.2053746f,  -0.3168701f, 0.0803248f,  1.3465679f,  -0.9768731f, -1.8411239f, 0.2457541f,
    -1.6814051f, -0.4477402f, 0.1672802f,  0.7404314f,  -0.7622342f, 0.1686872f,  0.8839295f,
    -0.6407577f, -0.4231758f, 0.5933502f,  -1.1006201f, 0.8089582f,  -0.0511608f, -1.4146697f,
    -0.7520166f, 1.1709608f,  0.2731418f,  -1.3103432f, 1.2383001f,  -0.4518504f, 0.2402098f,
    -1.7273894f, 0.0953833f,  -0.3790552f, -0.0397651f, 0.8102889f,  -0.3656480f, 0.5992659f,
    0.5181308f,  0.1743442f,  0.9853922f,  -0.1054464f, -1.2416493f, -0.1694264f, 0.0439729f,
    -1.3183113f, -0.1663503f, -1.9570466f, 1.7756730f,  -1.8732709f, -1.4089411f, 1.7996156f,
    1.6850650f,  1.9492006f,  0.4332548f,  -0.3159716f, 0.2546116f,  -1.6622904f, -0.8517494f,
    0.8794345f,  -0.8941725f, -0.3979802f, 0.4435886f,  -1.1970057f, 0.7732809f,  -0.9166101f,
    1.5610137f,  -1.6896453f, 1.6113186f,  1.5262775f,  -0.1297045f, -0.7275794f, 1.4922699f,
    1.6434224f,  -0.7442349f, -0.7898653f, -1.0652868f, -1.7944068f, 0.5754608f,  1.9003144f,
    -0.8665332f, -0.9057260f, 1.7711177f,  0.6632814f,  0.0701150f,  0.0170058f,  -0.5051268f,
    0.3194785f,  0.3956818f,  -0.0952847f, 0.8269666f,  0.7062895f,  0.6927760f,  1.4397491f,
    1.8040929f,  0.1853250f,  0.2022461f,  0.6463471f,  -1.0698472f, 1.9208054f,  0.1197459f,
    -0.7929682f, 0.2115673f,  0.1429039f,  1.3478562f,  -0.0140928f, -0.6780750f, 0.7809703f,
    1.4499271f,  1.4114137f,  -1.0704652f, -0.0136585f, -0.3857654f, -0.4092883f, -0.3633504f,
    1.1539229f,  1.0762626f,  1.1815447f,  -0.4452543f, 0.0284831f,  -1.7589086f, 1.8053337f,
    1.9426752f,  0.6441488f,  1.7364501f,  -0.3084458f, -1.8590936f, 0.4106853f,  -0.2039594f,
    0.3071808f,  1.6485676f,  -0.0398676f, 0.4683336f,  1.2842549f,  -1.6811868f, 0.6023020f,
    -0.1325176f, 0.1777112f,  -0.0785943f, -1.9162912f, -1.6577917f, -0.0495540f, -1.9454507f,
    -0.5162947f, 0.6971404f,  -1.6157300f, -1.4678150f, 0.6697714f,  -1.0301819f, -0.7952040f,
    -1.1892499f, -0.1264805f, 0.0894295f,  0.0357404f,  1.7963411f,  -1.0558720f, -0.8718279f,
    -0.7055464f, -0.2704369f, 0.6960588f,  0.1961256f,  1.0296875f,  -0.7228727f, -1.8764494f,
    -0.5472042f, 0.2594407f,  -0.9418119f, -1.0119781f, 0.1362266f,  1.3053572f,  -1.4242225f,
    0.1561338f,  -0.7504348f, 0.5750438f,  1.2594524f,  -0.3030300f, 0.4436100f,  -0.4279369f,
    1.7061898f,  -1.8831539f, -0.4699167f, -0.6383512f, -0.9696264f, -1.1029261f, 1.7813327f,
    0.8322334f,  -1.3233549f, -1.0758279f, 1.0462851f,  -0.4224584f, 0.1314011f,  -0.5669877f,
    0.7683625f,  0.0569516f,  -0.8207529f, 0.1197733f,  -0.0416577f, 0.6737522f,  -0.0968523f,
    0.1069024f,  0.0992656f,  0.0445843f,  0.0052775f,  -0.9234553f, -1.5871492f, 0.8915917f,
    -0.0726954f, -0.2995163f, 0.2110336f,  0.6812966f,  0.9803269f,  1.3426220f,  -0.1864635f,
    -0.4776027f, -1.5957905f, 0.5767205f,  -0.4712082f, 0.2920076f,  0.9887086f,  -0.2252641f,
    -0.0203844f, 1.5818639f,  -0.0594996f, 0.1160332f,  -0.0415671f, -1.1451476f, 0.5359175f,
    1.0402558f,  1.2432392f,  -0.0181445f, -1.0111294f, -0.6844123f, -0.1810779f, -0.9739037f,
    1.8630744f,  -1.3647371f, 0.2277696f,  1.6020995f,  -1.6400513f, 1.2631504f,  0.0063183f,
    -1.2768704f, -1.1239000f, 1.6721513f,  -1.5639774f, 0.5630484f,  -1.4967227f, -0.0770805f,
    0.2685656f,  1.3746211f,  -0.3456055f, -0.4259302f, 0.0963953f,  -1.3205545f, -0.4368223f,
    1.2694457f,  -1.6636665f, -0.0010686f, -1.7689741f, 0.7619820f,  0.7984536f,  1.2385231f,
    0.0951831f,  1.1767292f,  0.5505031f,  1.7917984f,  1.3991731f,  1.0904627f,  1.2149281f,
    -0.6658998f, 1.5148314f,  1.2015241f,  0.5475571f,  -0.3189426f, 0.0333724f,  -1.4589757f,
    0.3550830f,  -1.5064252f, 0.9649337f,  -0.0357998f, 0.6061760f,  1.0532435f,  -1.5938755f,
    -0.1321610f, -0.8555351f, -1.4530743f, 1.1272929f,  -0.2205014f, -0.2430404f, 1.5471998f,
    0.9533755f,  -0.0304038f, -0.6150074f, -0.9736016f, -0.3291539f, 0.5562951f,  0.6793236f,
    -1.4647083f, 0.3331480f,  -0.5671367f, -1.9209106f, 0.4021315f,  -0.0751975f, -0.8875629f,
    -1.4175903f, 1.5483716f,  2.0916500f,  -0.3782019f, 0.5367679f,  0.0582076f,  0.6109731f,
    0.1516428f,  -0.9732137f, 0.5491276f,  -1.1186336f, 1.1756175f,  -0.4612616f, 1.9359125f,
    -1.0362680f, 1.5426266f,  -0.1304839f, -1.1960041f, -0.1094351f, -1.1767722f, -1.8739879f,
    -0.0830083f, 0.5027333f,  -0.5300895f, -1.6137468f, -1.0488118f, -0.6777329f, -0.0341298f,
    -0.7782675f, -1.7293160f, -1.2402336f, -0.4296616f, 0.5245802f,  0.1251049f,  1.5962858f,
    0.6132097f,  0.0277857f,  -0.7922995f, 0.1379523f,  0.1013432f,  0.8317344f,  -0.0791578f,
    0.0017771f,  0.4205970f,  -1.3887741f, -0.6895850f, 1.9686535f,  -0.3279154f, -1.1272722f,
    0.0900534f,  -1.6607617f, -0.5177852f, -0.0044375f, -2.0230034f, 0.1915524f,  1.0021719f,
    -1.8088212f, 0.4055673f,  0.1227795f,  -0.8793815f, -0.2168099f, 0.1689931f,  1.4815871f,
    -1.7778525f, 1.2247474f,  1.3102257f,  0.0003350f,  -1.2543712f, -0.6981174f, 0.5359988f,
    0.7507898f,  -0.8307302f, -0.6763406f, 0.2380778f,  0.0989203f,  -0.4603673f, -0.8697892f,
    0.0280741f,  0.9664484f,  1.6147843f,  0.0303895f,  1.5882968f,  0.2779222f,  -1.5386458f,
    -0.3782745f, 0.1577564f,  0.5824945f,  0.0562169f,  -1.5574297f, 0.7838780f,  -0.4805142f,
    -0.1355894f, 0.5603086f,  -0.5460554f, 1.1013716f,  -0.2044439f, -0.4825723f, 0.7325611f,
    -0.4712440f, 0.9486200f,  -0.1014076f, 0.6272919f,  -1.3814299f, -0.1129735f, 1.3517222f,
    0.0130716f,  1.7618452f,  1.1796727f,  1.1866308f,  1.7132402f,  0.0129496f,  -1.8762424f,
    -0.0007460f, -0.6419203f, -0.6934096f, -0.0105275f, -0.9431573f, -0.0682221f, -0.0524811f,
    1.1212349f,  0.0089026f,  -0.1218010f, 0.7605968f,  0.7358941f,  -1.3642935f, -1.2486486f,
    -1.3255481f, -1.5741601f, 0.4216591f,  -0.1612250f, -0.6545674f, -0.0012890f, 0.4358997f,
    -1.7271390f, -2.0194254f, -1.1548198f, 1.4859562f,  -0.2931829f, 0.2455552f,  0.2126431f,
    -0.7880048f, -0.6816985f, 0.1890279f,  0.3319434f,  0.6587143f,  2.0472783f,  0.1117977f,
    1.9146947f,  0.6710484f,  -0.9886786f, 1.5980778f,  1.3011913f,  0.3189782f,  0.2369123f,
    -0.6923502f, -0.2071196f, -0.2023778f, -0.1276486f, 0.0707748f,  -0.3827833f, -0.5543467f,
    -1.6300336f, 0.2316290f,  0.5017147f,  -1.5623421f, 0.9563904f,  1.5429161f,  -1.6616789f,
    -0.8797180f, -2.0112796f, -0.4108072f, 0.0439888f,  -0.0240749f, -1.9509439f, -0.4050089f,
    1.9449443f,  -0.5481492f, -1.6224441f, -0.2304828f, 0.8852321f,  -0.1836455f, -0.0474758f,
    0.6188595f,  -0.4983855f, -0.2694094f, 0.0247443f,  -1.7044551f, -1.6695232f, -1.0793399f,
    0.8200525f,  -0.1176661f, 1.0535183f,  -0.0451548f, 1.6173026f,  -0.3063655f, 0.3549278f,
    0.0678700f,  -0.0535494f, 0.5817933f,  1.1546296f,  -0.2129671f, 0.0614977f,  0.2471952f,
    -1.5742308f, 0.1296227f,  -1.7721038f, 0.3620486f,  1.4631103f,  -0.9858734f, 0.0705653f,
    -2.0456636f, 0.9526737f,  0.0495910f,  1.4454899f,  1.7908880f,  -0.5967335f, -0.8043741f,
    -0.1109911f, -1.8151948f, 1.9869387f,  0.5788750f,  -1.0415959f, -0.0713718f, 0.3951822f,
    0.5309373f,  -0.0910731f, 1.0047820f,  -0.0171126f, 0.8034139f,  -1.4457362f, 1.9588840f,
    -0.3507874f, -0.2239088f, -0.8792574f, 0.9098312f,  -1.0364697f, 1.4890996f,  -2.0808783f,
    1.5872214f,  2.0533927f,  -1.3616722f, 1.0765173f,  -0.7153585f, -1.0171095f, 0.1598358f,
    0.2155521f,  -0.6940738f, 0.6430194f,  1.6427019f,  1.2924328f,  -0.4837127f, 0.1145615f,
    0.0104269f,  -0.9188200f, -0.0638046f, -0.3638934f, 0.2222817f,  1.0244327f,  0.0345339f,
    -1.4328286f, -1.0564196f, -0.3728231f, -0.1643058f, 0.2412301f,  0.9409175f,  1.8776842f,
    -1.1249352f, -0.0004077f, -0.0162632f, -0.1964014f, 1.7818057f,  -0.0430854f, 1.1145666f,
    0.3411339f,  0.2973540f,  -1.8499527f, -1.1316994f, -0.0000785f, 1.5421600f,  1.0418084f,
    -0.1926670f, 0.3169592f,  -2.0202556f, 0.2628123f,  0.0563853f,  1.3780129f,  -0.5795656f,
    0.5843389f,  1.1997755f,  -1.5369930f, 0.4898299f,  0.6570581f,  -0.0795610f, -0.7696954f,
    1.9500014f,  1.0699034f,  -0.0706665f, 0.7756587f,  -0.0466778f, 0.0520903f,  -1.9300710f,
    1.1075867f,  -1.7059961f, -1.0452267f, 0.0878079f,  0.4544579f,  -0.1428496f, -0.1522666f,
    1.8216326f,  0.8752210f,  -1.3061095f, 1.4138429f,  1.7660726f,  1.6654834f,  0.0081523f,
    -0.0323933f, -0.3258038f, -0.9985673f, 1.3490103f,  0.4499394f,  1.0260546f,  1.7745079f,
    -0.0465220f, 0.9552484f,  -1.0951146f, -0.8784142f, 0.0000000f,  -0.0000000f, 0.4593079f,
    -0.4851173f, -0.7795343f, 0.1062568f,  -0.6860929f, -0.1008798f, -1.0632952f, 0.4001339f,
    0.3044475f,  -2.1527521f, -0.1664265f, -1.7941705f, -0.0744303f, 0.2125671f,  -0.5061510f,
    -1.1884109f, 2.2018030f,  -0.0447052f, 0.4298574f,  -0.1093382f, -0.7759234f, -0.1432738f,
    -0.8975443f, 0.5593853f,  -0.0389087f, 0.8471284f,  1.0282040f,  0.3751362f,  0.0904794f,
    0.0420665f,  -1.9562406f, -0.1069562f, 1.3617513f,  -2.0752916f, 0.1484425f,  -0.0498998f,
    1.1123149f,  0.0465913f,  -0.0011007f, 0.8472267f,  0.9555207f,  -0.5273309f, 2.1789119f,
    -0.3399276f, -1.6380789f, -0.1352238f, -0.7350627f, -0.5164921f, 0.0011032f,  1.9918694f,
    1.7705100f,  -1.3454031f, -1.3806493f, -0.6982615f, -0.1983908f, 0.2574718f,  0.2998844f,
    0.0219927f,  1.3865787f,  1.4851700f,  0.4395233f,  -1.3023888f, -0.0085552f, -0.0671126f,
    0.0155646f,  -0.6244631f, -1.3928157f, -0.6025177f, 0.6513208f,  0.2697226f,  1.7180017f,
    -0.1362283f, 0.7484805f,  0.0260250f,  0.6288257f,  -1.3834222f, 0.3896630f,  2.0074445f,
    0.1091216f,  -1.3562690f, 0.2147295f,  0.1440518f,  -0.7563930f, 0.0732459f,  0.7453777f,
    1.2260009f,  0.0661156f,  0.0748592f,  -1.0037641f, 0.7013150f,  -0.6782553f, -0.8580487f,
    -1.6508631f, -0.2491595f, -2.0276012f, -0.3896359f, 1.0708551f,  -0.8596420f, -0.7104648f,
    -1.4906811f, -0.1730914f, -0.0005935f, 1.2270907f,  -0.4152577f, 1.5903874f,  0.6033663f,
    1.3951276f,  1.9049511f,  -0.2107835f, 0.5623529f,  0.7737139f,  -0.0028362f, 0.2083070f,
    -0.0926448f, -0.0363210f, 0.4498815f,  -0.0068522f, 0.1023619f,  -1.0629540f, 2.2092533f,
    1.5106127f,  -0.4248846f, -0.8312924f, -1.2180179f, -0.4370329f, 0.1331105f,  1.7486978f,
    0.0000815f,  -1.3674307f, 1.0527306f,  -1.7859697f, 0.9688299f,  1.3624436f,  -0.0127710f,
    -0.0973619f, -0.3003136f, 0.6639845f,  -0.8039749f, -0.2261311f, 1.9191803f,  0.1075318f,
    1.9481763f,  -0.1152005f, -1.4492044f, -0.2029847f, 2.1689037f,  0.5345579f,  0.2709775f,
    -0.1292705f, -0.1843904f, -0.7157225f, -0.2904238f, 0.0312656f,  0.0271614f,  0.0110359f,
    0.4509813f,  0.5355149f,  -0.3789564f, 0.2598729f,  0.2159235f,  1.1207133f,  1.1512221f,
    -1.0285595f, -1.5423405f, -0.6379723f, 0.0996378f,  -0.3076121f, -0.0147489f, 0.0068736f,
    -2.2169287f, -0.4131552f, 0.1113704f,  0.7549990f,  -1.9870078f, 1.6804048f,  -2.0510878f,
    -1.7503858f, 0.9322217f,  -0.3400597f, -0.5908739f, -0.3520874f, -0.0010241f, -1.6786171f,
    1.7383642f,  -0.5397199f, -1.5631093f, 0.0976057f,  0.4174336f,  -1.4670149f, 1.6501610f,
    0.2635031f,  0.4991365f,  0.0285021f,  0.0057787f,  -0.5800116f, -0.5904102f, -0.0883410f,
    -0.0973650f, 0.1615454f,  1.3909544f,  0.1657866f,  1.2367305f,  -0.0604766f, 1.3235618f,
    1.8273228f,  0.0287785f,  1.5941891f,  2.1008933f,  -1.4331449f, 0.1911949f,  -1.7322661f,
    1.3428869f,  0.0399559f,  0.3245223f,  0.8254418f,  1.3322299f,  0.0737661f,  -2.1853913f,
    -0.0006446f, 1.7363235f,  0.3081081f,  0.7765952f,  -2.1937346f, -1.8544393f, 0.2812539f,
    -1.8475937f, 0.2589290f,  -0.3276389f, -0.0657393f, 2.1392829f,  0.9228221f,  -0.5267105f,
    -0.8108048f, -0.0656407f, 1.8686607f,  -2.0680446f, 0.1900383f,  -1.1878233f, -0.0486334f,
    1.3894764f,  -1.7971779f, -0.3621134f, 0.3113586f,  -0.4517268f, -1.1363501f, -0.3428737f,
    -0.6634975f, 0.0075481f,  0.0051077f,  0.6469500f,  0.0658019f,  0.3473582f,  0.0836473f,
    1.2036867f,  -0.0453437f, -1.6293211f, -0.0096552f, 1.1709803f,  -1.0536435f, 0.2265201f,
    1.2477891f,  1.5600161f,  1.1640208f,  -0.0000709f, 0.0053095f,  -0.1595319f, 1.4436802f,
    -0.0178370f, -0.2210188f, -0.2721001f, 1.5003938f,  -0.3707849f, -1.0989184f, -0.0000015f,
    0.2871439f,  0.6410040f,  -0.9474162f, -0.0839047f, -1.4537581f, 0.2383096f,  -0.0587966f,
    -0.6613775f, -1.2496132f, 0.4204411f,  1.6328206f,  1.9309147f,  0.6573570f,  0.8828261f,
    0.0073568f,  0.8320738f,  -1.1707305f, -1.3196213f, 0.0813137f,  -0.7207005f, 0.4873041f,
    -0.0032801f, -1.9046530f, -0.8605963f, -0.0298726f, -1.4246238f, -0.0533481f, -0.8176372f,
    -0.6795233f, 0.0620739f,  -1.0158277f, 0.8520178f,  1.6713106f,  -1.8542723f, -1.3776127f,
    1.8751566f,  -0.0029707f, 0.0893148f,  -0.1701129f, 1.2498006f,  0.5391143f,  0.9625264f,
    0.3973775f,  -1.4427825f, 0.0058283f,  -1.9405986f, -1.3571981f, 1.2478807f,  0.0000000f,
    -0.0000000f, -0.8746179f, -1.6223135f, -1.7932517f, 0.6285026f,  1.1025952f,  1.3608950f,
    0.7452409f,  1.0553434f,  0.2908166f,  -0.2342195f, 1.4791915f,  -0.8619441f, -0.3461635f,
    -0.3002107f, -1.6900327f, -0.9046434f, -0.1263053f, 0.2995708f,  1.7799865f,  -0.8129918f,
    0.7339092f,  -1.4660249f, 1.5095505f,  1.6626338f,  -0.0796851f, 0.5886640f,  1.1347738f,
    -1.7016207f, -0.8611871f, 0.2053989f,  0.6682166f,  0.9703398f,  1.9410915f,  -0.9902408f,
    0.9675980f,  -0.2106123f, -1.2342327f, -0.3961511f, -0.0262135f, -1.7160046f, -0.3500403f,
    0.4277143f,  0.1548545f,  -0.9852914f, 1.3284898f,  -0.8581578f, -0.6924344f, -1.3892616f,
    -0.0171742f, 0.0913833f,  0.1086912f,  -0.9001375f, -0.2315877f, 1.9345682f,  1.0926191f,
    1.6154589f,  -1.1782171f, 0.3226513f,  -0.9394013f, 0.1165033f,  -0.4279828f, 0.7292140f,
    0.1039486f,  -0.0906527f, -0.0342824f, 1.8329494f,  1.7370190f,  1.0625668f,  -1.2578062f,
    1.8986416f,  -1.1057205f, 0.5623850f,  1.3310770f,  -1.3340653f, 0.1935526f,  -0.0420711f,
    -1.3774108f, -0.3718030f, -0.1424928f, -0.8599089f, -0.1168247f, -0.5887332f, -1.7224335f,
    -1.9061923f, -0.6548467f, 1.6773630f,  -0.8539538f, 0.2947143f,  -1.7400412f, -1.7955880f,
    -0.3995316f, 2.0042026f,  -1.7713805f, 0.5198741f,  1.0658993f,  -0.6624891f, -2.0281281f,
    1.0578878f,  0.7698953f,  -1.6643495f, 1.1066942f,  0.0296462f,  0.3821715f,  1.0371984f,
    0.4307928f,  0.4391514f,  -1.8898194f, -0.2714962f, -0.9790913f, -0.8678647f, -1.6326508f,
    0.0400742f,  1.1732584f,  0.4841064f,  -0.6368957f, 0.6559924f,  0.1048115f,  0.4683348f,
    0.9041158f,  0.2365643f,  -1.0026040f, 0.1435419f,  0.4909806f,  -0.1821411f, -1.1120697f,
    -0.9872113f, 1.6303544f,  -0.0008941f, -1.2335678f, -0.5247166f, 0.0304198f,  -0.3024001f,
    0.3195240f,  0.0445494f,  -0.0946249f, -0.0347834f, 1.1821763f,  1.7613194f,  -2.0060102f,
    1.2719972f,  0.2444556f,  -0.0403110f, 1.6543477f,  0.2307124f,  -1.5937077f, -0.4366334f,
    0.4729662f,  0.5912808f,  0.1717116f,  -0.8099714f, -1.3317696f, 0.7302852f,  -0.3615557f,
    0.1639960f,  0.2746905f,  1.9266282f,  1.2569200f,  0.4170536f,  -1.8765717f, 0.3434537f,
    0.3315724f,  -1.5567031f, 0.8167887f,  0.5052334f,  -0.1244251f, 0.0341098f,  -0.6059520f,
    -0.2399191f, 0.1368156f,  0.0226662f,  1.5266715f,  -0.0523472f, 1.0276885f,  -0.6139197f,
    -0.7535275f, -1.0116710f, -0.5322766f, -1.9969397f, -0.1768456f, -1.8810169f, 1.5706101f,
    -0.0092769f, -0.3542676f, 0.5289087f,  -1.0161953f, -1.6547721f, 1.0114869f,  -1.3159109f,
    1.7804547f,  0.4710020f,  -0.8157298f, -0.3674377f, 0.1304468f,  0.0396076f,  -1.3463065f,
    0.8117803f,  0.0238559f,  0.5115398f,  -0.4497361f, 0.7946560f,  1.9710273f,  -0.4848332f,
    0.1901886f,  -0.2957642f, -1.3262930f, -0.1137335f, 0.0718652f,  -0.8052538f, 1.8199500f,
    -0.9081427f, 0.2404422f,  0.4335124f,  -1.3345257f, 1.3801009f,  -0.2891889f, -0.1197890f,
    -1.3379428f, 0.0618831f,  -0.1945759f, -1.6734683f, -0.7554364f, 1.9533530f,  0.1031965f,
    0.7354666f,  -1.6587228f, 0.6661369f,  0.1120697f,  0.9368513f,  0.8271268f,  0.7152256f,
    -1.1555648f, -0.6492288f, -0.7072973f, 0.0079766f,  0.7942489f,  0.0658079f,  -0.4286186f,
    -1.2827568f, 1.2404527f,  -0.1315920f, -0.1114975f, 1.1397162f,  0.5117699f,  -0.2583832f,
    -0.7171025f, -0.2238188f, -1.1898038f, -0.0389659f, -0.0571166f, 0.0195315f,  -1.6624527f,
    0.9712079f,  -0.8856187f, 1.4697391f,  1.8647986f,  0.9792531f,  -1.4156366f, 1.9487979f,
    -2.0048027f, 1.3292374f,  -1.5421130f, -0.1159151f, 1.0351561f,  -0.0116025f, -0.0716762f,
    0.9329876f,  -0.2311344f, -0.1387227f, 1.3549998f,  0.8115216f,  1.2617927f,  0.2196417f,
    -1.2847896f, 0.0003478f,  -0.2843585f, -0.3595032f, -2.0173436f, -0.2790132f, -0.0804754f,
    0.7852558f,  -0.3441402f, -0.7290147f, 1.8441119f,  0.3666555f,  1.2441074f,  0.6211044f,
    1.4270230f,  1.3708262f,  -0.0436063f, -1.4637102f, 0.0535014f,  1.4314133f,  0.6289999f,
    0.9576112f,  -1.5415716f, -0.1187332f, 0.1739294f,  -0.1175003f, -0.0241696f, -0.1491018f,
    0.4321673f,  1.6582194f,  1.7403910f,  -0.6887579f, -0.4430659f, 1.0392910f,  -0.9549525f,
    0.0311803f,  0.3971384f,  -0.6760540f, 0.1030824f,  -0.5130887f, 0.0617213f,  1.4829059f,
    -0.9602369f, 1.8615893f,  -0.6333405f, -0.2697632f, -0.0761548f, 1.1941650f,  -1.3954057f,
    -1.6007857f, -0.0000000f, -0.0000000f, -1.2433031f, -1.8333665f, -0.1910262f, -0.6681703f,
    1.0475624f,  -1.9473574f, 0.9545947f,  -0.8876323f, -1.6264528f, -1.0999492f, -0.2049322f,
    -0.3540601f, -0.7584545f, 0.1327450f,  -1.8082757f, 0.7184126f,  1.1173384f,  0.5568607f,
    1.4280779f,  2.1317871f,  -0.4736770f, -0.2100363f, -0.1454871f, 1.7305024f,  -0.0675211f,
    0.9651906f,  0.1999258f,  1.6978058f,  -2.1340273f, 0.4826388f,  -0.7061954f, 2.0636166f,
    0.1750206f,  0.8745480f,  1.9782382f,  0.7367044f,  0.2809606f,  -0.4738250f, -0.2390097f,
    1.1980475f,  -0.7321951f, 1.5992798f,  1.1810686f,  -1.2301352f, 0.2187621f,  -1.8596530f,
    -0.8140933f, 0.8143692f,  0.1292751f,  1.1905239f,  -1.4972750f, -0.4404453f, 0.5342478f,
    -1.0220574f, -1.9913384f, 0.6349128f,  0.0849528f,  -1.6096470f, -0.2583448f, -0.5970387f,
    -1.5713624f, 0.5871358f,  -0.5325561f, -0.0363266f, 0.0321691f,  0.3458241f,  -0.3510726f,
    -0.6834108f, 0.9119616f,  -0.2301269f, -1.0823781f, 2.0995467f,  -0.7587901f, -0.0684554f,
    -1.6285753f, 0.1310998f,  1.8289030f,  0.8616026f,  -1.6976969f, 0.2852207f,  -1.6609919f,
    1.0942035f,  -0.0318308f, -0.0018463f, -0.0013001f, 0.5285033f,  -2.1479612f, -0.8362948f,
    -0.9383310f, -0.0158707f, 1.4077940f,  -1.0434640f, 0.0732521f,  -0.4479690f, 0.9582063f,
    -0.4132648f, 0.7007043f,  -0.2598223f, -0.1399273f, 0.4464076f,  -0.4572517f, 0.3790530f,
    0.5122586f,  0.8972461f,  0.6262371f,  1.4287747f,  0.0209345f,  0.7482840f,  -1.7727309f,
    -1.2825028f, -0.5423271f, 0.1658662f,  -1.4170412f, -1.1311397f, 0.2462975f,  0.3056440f,
    -0.5907129f, 0.9865011f,  1.2865723f,  -1.1952988f, -0.1481787f, 1.6583557f,  0.8635994f,
    0.2386116f,  -1.1810709f, -0.5174635f, -0.2277409f, -0.0685003f, 0.9985507f,  0.5795307f,
    -1.2077720f, -1.1546829f, -0.4119949f, -0.0734746f, 1.5893417f,  -0.1137488f, 0.7618009f,
    0.3277132f,  0.1148560f,  -0.8389833f, 0.2388682f,  1.2721121f,  0.1856639f,  -0.9938785f,
    -1.4816290f, -1.0442188f, 0.0054425f,  -1.4668037f, 1.7894202f,  0.8265786f,  -0.9018357f,
    -0.1004521f, -1.7228914f, -1.3086972f, 1.2400010f,  -0.2491851f, -0.9418646f, -1.5064868f,
    -0.2397253f, -2.0265422f, -0.2313252f, -0.1646781f, 0.0852850f,  0.5523318f,  1.6374821f,
    -0.0317856f, 1.3291795f,  -1.0753156f, 0.7670425f,  -1.2038640f, 0.6303677f,  -0.0297113f,
    0.2327819f,  -0.7523023f, -1.3288784f, 0.8109751f,  1.4110990f,  1.1718401f,  1.9486256f,
    0.2776872f,  -1.9416552f, -0.0419340f, -0.2234423f, 0.2416048f,  1.1120299f,  -0.0692735f,
    -0.3789405f, -0.6011201f, 0.2341303f,  -0.6220867f, 1.1171684f,  0.1858130f,  -0.6074617f,
    0.1342657f,  0.8719713f,  -0.3269523f, 1.4397537f,  -1.1889101f, -1.1162893f, -0.3443568f,
    -0.0202364f, -0.3971599f, -0.2778494f, -0.4802226f, -0.4191359f, -0.6450624f, 1.4887534f,
    -0.9090775f, 0.1497460f,  0.9275426f,  -0.4425235f, -1.5202191f, -1.5657777f, 1.9767810f,
    1.5181985f,  1.5346437f,  1.9317686f,  1.0787714f,  1.1198091f,  -0.3189772f, 0.7961886f,
    1.3684210f,  1.0938140f,  1.2918874f,  0.8656797f,  -0.6859006f, -0.0736269f, -1.1606329f,
    -2.0350576f, -0.9918473f, -0.8926475f, 1.5050495f,  0.1995110f,  0.0243241f,  0.4920899f,
    -1.3049340f, -1.5627985f, 0.4841934f,  1.8167747f,  0.5549091f,  1.4894441f,  -1.4991620f,
    -2.0055120f, 1.7149480f,  0.2268318f,  1.6442068f,  -0.1844041f, 0.0984544f,  0.3017687f,
    -1.6337279f, -0.1062080f, 1.1688579f,  2.0519132f,  -0.2390185f, -0.0006906f, -0.0674496f,
    0.5685116f,  0.8217156f,  -0.9998969f, -0.5395214f, 0.3667480f,  0.7354305f,  -0.6908106f,
    0.0104311f,  -0.2077163f, 0.6434932f,  -0.5643397f, 0.4086132f,  0.3206290f,  1.0596124f,
    -0.9676214f, 0.0752978f,  -0.2789502f, -0.0164330f, 0.0327663f,  -1.5226319f, -0.8487517f,
    -0.4330500f, -1.5346235f, 1.1512449f,  -0.9196893f, -0.1450711f, -0.6394552f, -1.6413539f,
    -0.2651286f, 0.7357864f,  1.1847559f,  0.1957275f,  0.1272747f,  -0.5829697f, -1.6052685f,
    -0.0362036f, 1.6571230f,  1.1785226f,  1.7787793f,  0.8911083f,  -0.8848085f, 1.3124319f,
    0.0014363f,  -0.5704619f, 0.4997895f,  -1.1840695f, -1.5595507f, 1.8670678f,  -1.1545843f,
    -1.0362882f, 0.4936189f,  -0.7961761f, 0.4969827f,  0.4668213f,  0.0933271f,  1.2646669f,
    1.6220143f,  0.0573119f,  -0.3880135f, 0.1859089f,  0.3525973f,  0.5575913f,  -0.7733086f,
    0.6063629f,  -0.0828558f, 0.4241569f,  -0.0000000f, -0.0000000f, 0.8175991f,  -0.2272317f,
    0.9908284f,  -2.1999177f, -0.8666304f, 0.0624632f,  0.8545386f,  -1.0014350f, -1.4408021f,
    -0.7275674f, -1.1190764f, -1.5172107f, -0.6345537f, 0.0469573f,  -0.1150092f, -1.1085894f,
    -0.3034573f, -2.4459191f, -0.4866854f, -0.7111296f, -1.2724517f, 1.1226763f,  1.5917073f,
    0.1615565f,  -0.0072905f, -1.0958237f, -0.3045797f, 0.2231050f,  -0.6780098f, 0.4488746f,
    1.1585696f,  0.3578563f,  -0.8054806f, 0.4412467f,  1.0651069f,  2.3836475f,  -1.4127539f,
    2.4572473f,  -0.8082143f, 0.1406793f,  1.1543703f,  -0.6127433f, 0.5110529f,  -0.4091728f,
    -0.4765441f, -1.1596937f, 1.1600452f,  0.1267668f,  -0.4107416f, 0.7989294f,  -0.0651047f,
    -1.1136522f, 0.0903080f,  -0.6946042f, 0.9145262f,  -0.9898436f, -1.2678774f, 1.8102136f,
    0.3308519f,  -0.0460123f, 0.3997349f,  1.2608428f,  1.0386338f,  0.0157548f,  -0.0056661f,
    1.0583880f,  -0.5159599f, -0.0694823f, 0.0311156f,  0.6191722f,  0.6148029f,  1.1082605f,
    -0.9671480f, 1.1628463f,  -0.1962225f, -1.4243392f, -0.5163741f, -0.6245682f, -1.8713423f,
    0.3057704f,  1.7172485f,  -0.7174973f, -1.6557522f, -1.6499433f, 0.1964185f,  -0.4210764f,
    -0.7872872f, -2.3741086f, 0.2839086f,  -1.6409059f, 0.5861698f,  -0.6128467f, 0.6899508f,
    0.0507519f,  -0.5091483f, 0.0439128f,  0.7220749f,  1.1961410f,  -0.1983049f, 0.8417724f,
    -1.1839537f, 1.2690540f,  -1.3296960f, -0.9986621f, 0.5783249f,  -0.6794789f, 0.8324195f,
    -1.2868076f, -0.9387030f, 0.4754261f,  -0.8890645f, -1.7008611f, -0.6149721f, 0.9645413f,
    2.3354097f,  -0.0978772f, 1.1962577f,  0.7665516f,  -0.6487024f, -0.1122958f, -1.5256324f,
    -0.1363129f, -1.0679539f, 1.3703074f,  -0.2588864f, 1.7149904f,  -0.6391031f, -0.6612179f,
    0.7558680f,  1.2851913f,  -0.8651092f, -0.7377628f, 1.3632818f,  0.0438383f,  -1.9706765f,
    -0.0396216f, -0.0820284f, 1.2576031f,  -1.1040276f, -0.6126317f, 0.0482557f,  -0.6869258f,
    -0.3136631f, -1.1129542f, 0.4999992f,  0.1955958f,  -0.1392975f, -0.5826273f, 1.7588887f,
    1.8070232f,  0.0771077f,  0.8157845f,  -1.7631654f, 1.9634874f,  1.6661508f,  1.0490877f,
    -0.2523592f, -0.5641578f, -0.5244514f, 1.1549861f,  -1.3510476f, -1.5383584f, -0.2632080f,
    -0.1960867f, 0.0659713f,  -0.0124471f, 1.4765671f,  -1.5505748f, 1.4230083f,  0.0656874f,
    -0.1395474f, 0.0184955f,  1.1536667f,  -1.0883095f, 0.4482132f,  0.4393756f,  0.3152125f,
    0.4331637f,  -0.8707178f, -1.1682287f, 0.1951184f,  -0.0815737f, -1.4912231f, 1.5121170f,
    0.8542872f,  0.5607336f,  -1.7402854f, 1.0627109f,  -0.8437753f, -0.1858870f, -0.4582473f,
    -0.4201272f, -2.2933162f, 0.1917732f,  0.0199454f,  -0.1461634f, 2.0804067f,  0.9968949f,
    2.0823132f,  -0.2888724f, 1.5830605f,  0.1814558f,  0.1372747f,  -1.3283794f, 0.5177087f,
    2.2692484f,  -0.3833634f, 0.3534043f,  -0.8474297f, 1.0458130f,  1.4358923f,  -0.2964386f,
    0.4593977f,  0.5554131f,  0.5276696f,  0.3743233f,  -0.0305600f, -0.0277279f, -1.7525563f,
    0.7136124f,  -0.1899141f, -0.3597014f, -0.0465438f, -0.4108643f, 0.8897070f,  1.0108787f,
    -0.0400665f, 0.3859982f,  1.2197507f,  -0.3217221f, -0.6725804f, 0.5078886f,  1.2969117f,
    -0.0030019f, 1.4365330f,  0.4756994f,  0.4419321f,  -1.2788881f, -0.1575729f, -0.1682302f,
    0.0661509f,  0.5132693f,  0.4920954f,  0.8211297f,  0.2495486f,  0.2189920f,  -1.3027912f,
    -0.1013406f, -0.6554178f, 0.0459761f,  0.3211442f,  0.3632562f,  -1.1502220f, 1.4859254f,
    1.6638466f,  1.5727759f,  1.0650962f,  -0.4838789f, 0.4843127f,  -0.9303296f, 0.4136441f,
    1.2820382f,  1.1043812f,  1.1290285f,  1.9594158f,  -1.7328491f, 0.0905930f,  2.2738899f,
    -1.1343400f, -1.5138269f, -0.7342353f, -0.0746705f, 0.3359852f,  0.2536831f,  0.0766535f,
    0.4287770f,  0.6976241f,  -0.2338819f, 0.3071531f,  0.5289179f,  -0.9353197f, 0.1835563f,
    -0.4751689f, -0.9964614f, -0.4495814f, 1.0091984f,  0.0425942f,  1.4893701f,  -0.1542972f,
    0.9907822f,  -0.1345423f, 1.6218887f,  1.3553132f,  0.0473887f,  -0.3155539f, -1.7224074f,
    1.1821797f,  -0.5797359f, 0.0073636f,  -0.1920929f, -2.4377549f, -0.1084830f, 0.0162436f,
    -1.3889642f, 0.9742554f,  0.4378510f,  -1.3226004f, 0.0465136f,  -0.1528039f, -1.4587240f,
    -2.0907737f, -1.1072078f, -1.8617347f, 1.6307330f,  1.2112318f,  -0.9443856f, 0.0654347f,
    0.1054977f,  -1.7380593f, -0.4912895f, -1.6223642f, 0.4210496f,  1.1249999f,  -0.4544106f,
    -1.1447117f, -1.2494791f, -0.3599531f, -0.0655708f, 0.6180956f,  -1.2840879f, -1.0938216f,
    -0.8395781f, -0.7709759f, 0.9760012f,  -0.3653419f, 0.2193883f,  0.5511908f,  -1.0881213f,
    -1.2769078f, -0.9413621f, 1.1011881f,  0.9083280f,  -1.1545716f, -1.1122544f, 0.1568082f,
    -0.3689959f, 0.2292150f,  -1.2647371f, -1.2478776f, 0.5576353f,  -0.5829317f, -1.2597246f,
    -1.1250139f, 0.8348599f,  0.7342349f,  -1.2410071f, -0.3640647f, 0.7711663f,  -0.6046205f,
    0.9970522f,  0.5281887f,  0.6751496f,  2.6114518f,  -1.2569014f, -0.7747202f, -1.1991521f,
    1.0534568f,  -0.9178580f, 0.0863020f,  -0.3653512f, 0.4293790f,  -1.2824692f, 2.6619322f,
    0.9279815f,  1.1215941f,  0.7978346f,  1.0601936f,  -0.9468075f, -0.7674977f, -0.6688374f,
    0.6920403f,  0.3846776f,  0.2729909f,  1.1108554f,  1.0433313f,  -0.7866511f, 2.0606279f,
    -1.0277546f, -1.1789716f, -1.0188118f, -0.6075179f, -1.2612685f, -1.2827423f, -1.2050583f,
    0.7515060f,  -0.8781037f, 0.3850210f,  -1.0229240f, -1.2750909f, -0.3270418f, -1.0675134f,
    1.0265628f,  -0.0435290f, 0.3542629f,  -0.4655850f, -0.0131018f, -0.1108587f, -0.2740834f,
    -0.2101594f, -0.8269073f, -1.0633548f, 0.6174964f,  -1.1414418f, -0.2667663f, -1.1796449f,
    -0.9857624f, -0.1414579f, -1.2443525f, 0.7586097f,  -1.2585636f, -0.7685216f, 0.7456110f,
    -0.6020880f, 0.1710187f,  0.1351309f,  2.4259919f,  0.2063674f,  -0.8463610f, 1.0449427f,
    0.9301703f,  -0.2322241f, 0.5213556f,  -0.5299249f, -1.2374943f, -1.1021847f, 2.4100295f,
    -1.1360313f, 0.4819183f,  0.1360305f,  -1.1149756f, 2.0377400f,  0.3431160f,  0.8388131f,
    1.1066844f,  -0.3859407f, 1.1158273f,  -0.8546546f, -0.4096374f, -1.1307380f, -0.6633199f,
    0.0284252f,  2.8901691f,  0.6251315f,  0.2521930f,  0.8753814f,  -1.1358804f, -0.5816178f,
    -0.0943877f, 0.1431168f,  1.1246506f,  -1.2588305f, -0.8726839f, -0.9973134f, 0.6026869f,
    -1.1433325f, 0.9797160f,  -1.2668501f, 0.6309274f,  -1.1661769f, 1.0536292f,  -0.2384445f,
    0.9519681f,  -0.2438912f, -0.5580135f, -1.2684902f, 0.9669349f,  0.1609170f,  0.8757122f,
    1.0411590f,  -1.0275610f, -1.2727503f, 0.9873925f,  -1.2287463f, -0.8857200f, -0.3993555f,
    -0.4925453f, -0.0079708f, 0.8931545f,  -1.2846210f, 0.8479890f,  -0.7890470f, 1.2897395f,
    1.7974150f,  1.1238685f,  -1.2818595f, 0.6274730f,  0.7785074f,  0.7879904f,  0.9559743f,
    0.7338133f,  1.0422880f,  -1.1116723f, -1.0806482f, -0.9490934f, -1.2651022f, 2.2527304f,
    -0.0006281f, 0.0310539f,  0.6657640f,  -0.2943627f, -0.6471879f, 0.2505987f,  -0.0118285f,
    0.9499119f,  -0.7178665f, 1.0850079f,  1.4423866f,  1.7720677f,  -1.2856326f, -1.0210482f,
    0.3521201f,  0.4275903f,  -0.1415168f, 0.4790607f,  -0.4786717f, 0.7872576f,  -0.4237220f,
    -0.6370539f, 0.3050540f,  1.4521002f,  1.0772411f,  0.8765770f,  -0.0855890f, 0.5087904f,
    0.2027750f,  1.0658926f,  -1.1988728f, -1.0896197f, 1.0165979f,  1.0768819f,  -1.2853323f,
    1.1235445f,  1.2550312f,  0.0964391f,  -1.0902430f, -1.1856479f, 1.1210406f,  0.9662969f,
    -0.8217474f, 0.8507803f,  0.6972677f,  -0.9135163f, -0.5518767f, 0.9398096f,  -1.1793824f,
    -1.2020367f, -0.3668516f, 1.0883483f,  0.3967648f,  1.0595431f,  1.0306793f,  -0.8188213f,
    -1.2761668f, 1.1185098f,  1.1214251f,  -0.9181436f, -1.2145599f, -1.1241972f, 0.3384943f,
    1.1016687f,  0.6574012f,  1.1016055f,  2.3076553f,  -1.2851663f, -1.2659721f, -0.9621778f,
    -0.6249281f, -0.5750807f, -0.1767424f, -0.1332517f, -0.6218514f, -0.9559155f, -1.0306754f,
    -1.1169757f, -0.6917923f, 0.4256804f,  -0.9521891f, 2.7750776f,  2.1689673f,  -0.6413142f,
    1.0663527f,  1.6451691f,  0.0293330f,  -0.7877359f, 0.6153741f,  0.3833738f,  -0.6628338f,
    2.9752925f,  -0.4625641f, -1.2312160f, -0.8609543f, -0.2854738f, 1.0935921f,  -0.5868652f,
    0.9052107f,  -0.6392583f, -0.8613494f, -1.0526280f, 0.1672637f,  0.8477446f,  -1.2822418f,
    0.4315555f,  1.4544917f,  0.2460090f,  1.1186726f,  -0.1531212f, 0.1264618f,  -1.2852227f,
    -1.2037954f, 1.6237555f,  0.6349320f,  -1.1933546f, -0.0919954f, 1.1165160f,  0.5522107f,
    -1.2672725f, -1.2854648f, -0.1739067f, 0.7246624f,  -1.2419509f, 0.6016386f,  1.1244884f,
    0.9388364f,  0.3144723f,  2.0502372f,  0.4736900f,  -0.2464718f, -0.1083463f, -0.5011799f,
    -0.3591956f, -1.2130140f, 1.0453905f,  1.7957447f,  0.5201082f,  -0.0744486f, -0.7404764f,
    -0.0000000f, 1.9486434f,  -0.2621472f, 0.3719255f,  -1.2924642f, 0.4116385f,  1.0322536f,
    -0.0671763f, 0.3579323f,  0.8522461f,  0.6731983f,  -0.3180128f, 1.1808925f,  -0.5338708f,
    2.3889572f,  0.9374358f,  0.1806187f,  -0.4300316f, 0.1185172f,  -0.5386730f, -0.6088849f,
    -0.6309165f, -1.0175845f, -1.1758977f, 0.2036415f,  0.2891259f,  0.4453529f,  0.8775578f,
    -1.4978075f, 0.2816640f,  0.6154572f,  2.4630286f,  0.3747322f,  0.3263299f,  -1.4139739f,
    -1.0823802f, 1.4462201f,  0.7593198f,  0.2130600f,  -0.4100596f, 1.2081087f,  0.3507298f,
    -0.7583768f, -0.2807540f, -0.2270477f, 1.3010198f,  1.5768039f,  1.6626043f,  0.9530709f,
    0.0274825f,  -1.3016181f, -0.4222750f, -0.1051986f, -0.1970914f, -0.5252707f, 0.9556799f,
    -1.3069019f, -1.0874980f, 0.0467179f,  -1.6239143f, 1.5517678f,  -0.2473317f, 0.4423887f,
    0.5351969f,  -1.8119729f, -1.0542484f, -0.7480497f, 0.1558659f,  1.4224061f,  0.3417192f,
    0.1190293f,  -0.0452878f, 1.0251236f,  0.9042694f,  -1.1842877f, -0.0184638f, 0.1226523f,
    -0.8085849f, -0.9293855f, 0.1882196f,  1.2506238f,  -1.5160202f, -0.8987290f, -2.1511887f,
    -0.1940046f, 0.0188984f,  1.6487139f,  -1.2602069f, 0.7290122f,  0.7281644f,  -0.7633392f,
    0.1865424f,  0.3940775f,  0.9418280f,  -1.5166482f, -0.4630015f, 1.0710586f,  -0.3644440f,
    1.1842613f,  0.1288740f,  1.5035483f,  -1.3899430f, -1.1282337f, 1.1648860f,  0.9133079f,
    -0.8439205f, -0.1193908f, 0.5887365f,  1.4331364f,  0.6334515f,  1.6235447f,  -0.1643361f,
    0.1855535f,  -0.3787665f, 0.5548014f,  -2.2599064f, 0.1652712f,  -0.8737508f, -1.7336665f,
    2.2947141f,  0.8480926f,  -0.2630693f, 0.5456605f,  0.1501471f,  -0.7380351f, 0.8489728f,
    0.8614469f,  -0.2156284f, -1.5294960f, 0.4519873f,  -1.1074434f, -0.9454937f, -0.5123365f,
    0.3772698f,  -0.6928849f, -2.2205502f, -1.2698501f, -0.0013455f, -0.3559833f, 0.2232288f,
    -0.0547212f, -1.2173254f, 0.8613786f,  0.3793069f,  -0.0143959f, -0.7371937f, -0.5546870f,
    0.5231984f,  -1.6505256f, -0.6206634f, 1.1866727f,  0.3793350f,  -0.2833521f, 0.0275721f,
    1.5567575f,  -1.5547263f, 1.8619844f,  -0.1087043f, 0.0627705f,  -0.5165638f, 0.0384261f,
    -0.8225645f, 0.8860379f,  0.3479494f,  1.6412653f,  0.9528491f,  0.0360304f,  -1.0525985f,
    0.5188452f,  1.9106905f,  1.7620852f,  0.0278316f,  -0.0229210f, 1.3383271f,  -0.1075086f,
    -0.3565535f, 0.7128998f,  -1.1362032f, -0.5104142f, 0.7738555f,  -0.5532540f, -0.1529892f,
    -0.2640155f, 1.9156916f,  -0.7325388f, -0.6782488f, -0.9775960f, -1.5473050f, 0.1594483f,
    1.1909738f,  1.4326184f,  -0.8355151f, -1.5964920f, 0.0240349f,  0.7708414f,  2.2708241f,
    0.0047766f,  1.0559110f,  1.2404681f,  -2.2311142f, -0.6835299f, -1.4380859f, -0.0441514f,
    1.1318240f,  -1.9718327f, 0.6823108f,  1.4841738f,  -0.8300356f, 0.2526662f,  0.9389903f,
    1.4355300f,  -0.9960624f, 0.7379295f,  -0.4145064f, -0.4497875f, 0.8428428f,  -0.4338253f,
    -0.2687828f, -0.0321913f, 0.0760067f,  -1.7378817f, 1.4821770f,  -0.9897690f, -0.5856690f,
    0.1249894f,  0.7070797f,  0.9941897f,  0.2765160f,  -1.2620260f, -1.3158831f, -1.3946908f,
    -0.8173306f, 0.2183632f,  0.3756906f,  0.9814969f,  0.4031185f,  -0.5027792f, 0.2460685f,
    0.4616421f,  -0.3907014f, -0.1528191f, 0.0287797f,  -0.1081111f, -1.2630445f, -0.3624849f,
    0.4103865f,  -1.5348679f, -0.2367551f, -0.1087847f, -2.4905788f, -1.7411244f, -0.0263219f,
    -0.0084106f, 1.2316067f,  -1.3496276f, -0.3776845f, 0.0114405f,  0.5511393f,  1.0614476f,
    -1.0635344f, -0.9307753f, 0.1188541f,  1.3928179f,  -0.7859364f, -0.3976561f, 0.0392506f,
    -0.3861493f, -0.2743080f, 0.4995114f,  0.5598208f,  1.2085696f,  -0.4044547f, -1.1334586f,
    1.5281726f,  -1.4361935f, -0.2881048f, 1.5889985f,  -0.2848504f, -1.0862266f, 2.0777393f,
    0.2126411f,  1.7368596f,  2.3233534f,  -1.4805004f, 1.1998361f,  0.4604911f,  -1.5627523f,
    -0.3008193f, 0.1272555f,  -0.1775525f, -2.4105796f, 1.2538383f,  -0.1014856f, 0.3790708f,
    1.9038403f,  0.0165210f,  -0.5748049f, -1.6005652f, 0.6113027f,  -0.3193853f, -1.6670709f,
    -0.0338925f, -0.4099899f, 0.2836484f,  -0.0319732f, -1.6678217f, 0.7502742f,  -0.1506964f,
    0.3326526f,  0.0117499f,  0.8671289f,  0.5731432f,  -0.1572769f, -2.1913814f, -1.0138426f,
    -0.3463293f, -1.0037174f, -1.3270591f, 0.5872960f,  -0.5793945f, 1.4537155f,  1.3485723f,
    -0.3820143f, 1.3482411f,  -1.6770509f, 2.0172134f,  -1.7395205f, 0.9403406f,  0.0513677f,
    -1.7229370f, -0.1841403f, 0.1417798f,  -0.9395932f, -0.1438092f, -1.3605243f, 1.0178736f,
    0.0110238f,  0.4408100f,  1.3269783f,  1.3217076f,  0.8442125f,  -0.7866678f, 1.2122522f,
    -1.2029317f, 0.3225877f,  -0.2557443f, 0.1067571f,  0.0097316f,  0.5592730f,  1.0649955f,
    2.0617694f,  0.2161542f,  0.4712521f,  0.3993043f,  -0.2068886f, 1.2801688f,  0.9774742f,
    -0.1905823f, 0.1037683f,  -0.8943744f, 0.6145797f,  -1.0389868f, 0.9103080f,  -1.3801426f,
    0.0986866f,  1.2531645f,  -0.3167468f, -1.3788186f, 1.0668516f,  1.7622501f,  -0.3288661f,
    0.6844841f,  0.1610215f,  -1.7899148f, 0.1844357f,  0.8115881f,  -0.7463641f, 1.2053795f,
    -1.5077818f, 0.3316810f,  0.7261232f,  0.0598257f,  1.1512030f,  -0.1751602f, -0.5783059f,
    -1.5491063f, -0.1595889f, -0.5669891f, 0.3119094f,  1.2151393f,  2.1233917f,  -1.1486735f,
    0.4202475f,  1.6110523f,  1.6251020f,  -1.5647238f, -0.5778094f, -0.4300405f, -0.1547423f,
    -2.1550998f, -0.7937345f, -0.0782554f, 1.1377804f,  1.2996997f,  -0.7028669f, -0.6783035f,
    -1.1522287f, 1.4578338f,  0.1339668f,  -0.0805898f, -0.0053792f, 0.7025631f,  -0.1653467f,
    -1.2350784f, 1.0869390f,  -0.0689006f, -0.5737854f, 0.4623114f,  -0.0638495f, 2.0188199f,
    -0.7801037f, 1.6899984f,  0.3609870f,  1.1917704f,  0.5212368f,  -0.2333804f, 0.0220508f,
    -0.0325050f, 0.1969781f,  -0.1517733f, 1.4520936f,  0.2055133f,  0.0119412f,  0.5758630f,
    1.0205437f,  -1.6334906f, -1.2426641f, -0.3539449f, -0.1461659f, 1.0837335f,  -1.7314721f,
    1.3471245f,  0.2242422f,  1.3118015f,  -0.3489647f, -1.1449634f, -0.1806502f, -0.1605514f,
    -0.3264187f, -0.1186529f, 1.7875409f,  -2.0252795f, -0.2249328f, -0.0266927f, -0.3907297f,
    0.1806969f,  0.6620612f,  -0.8337740f, -0.3006113f, 1.8601375f,  -0.7211830f, 1.6727713f,
    1.5652440f,  -0.8940330f, -1.1557904f, -0.6224343f, 2.1252421f,  0.8006813f,  -2.0183943f,
    0.4210775f,  0.1540656f,  -1.2013990f, 0.0320147f,  -0.0928242f, -0.7225054f, -1.8820111f,
    1.5343053f,  1.4843533f,  -0.2150642f, -0.3082611f, 0.1380810f,  -1.1895124f, -1.7761732f,
    0.1329463f,  -1.6271372f, -0.7011253f, -0.1005112f, -0.3454149f, -0.2590638f, -1.2851478f,
    -1.0519473f, -1.3438008f, -1.6578099f, 0.2262037f,  0.1651868f,  1.1656273f,  -1.8671231f,
    -1.0747424f, 1.2381365f,  1.0248924f,  -0.6390700f, -0.8917662f, -0.7067545f, 0.7187904f,
    -0.9143069f, -1.0420294f, 0.5961490f,  0.4915002f,  0.1725486f,  0.2151370f,  -0.1503886f,
    0.0830256f,  -2.0505979f, -0.0686448f, -0.1298127f, -1.3288592f, 1.7857239f,  1.6186776f,
    -0.8015325f, 0.7892641f,  -1.7160993f, 1.1583525f,  -0.7780803f, 1.0648168f,  -1.5171242f,
    -0.8225652f, -0.3625089f, -1.2067984f, 1.9858612f,  -0.3441375f, -0.5276907f, -0.7637994f,
    0.6388198f,  -1.0366298f, -0.0826340f, 0.0452262f,  0.3168296f,  -0.5192512f, -0.0331046f,
    0.8485632f,  0.2992101f,  0.5176435f,  0.1005092f,  -1.2817695f, -0.0094160f, -0.2544710f,
    1.9983491f,  0.6938149f,  -1.2650115f, -0.7363012f, 0.0963190f,  1.1599360f,  -1.1583909f,
    1.8080928f,  0.2735684f,  -1.0646790f, -1.2298155f, -0.4606724f, -0.0563185f, -1.6331183f,
    0.6168814f,  0.9238418f,  -0.0682121f, -0.7184976f, -0.0556629f, 1.5743795f,  -0.7614286f,
    1.5399454f,  -0.6226571f, -1.2871423f, -0.6791332f, -0.1283636f, 1.0965008f,  1.2078202f,
    0.3440279f,  -0.9591376f, -2.0262741f, 1.8091099f,  0.3294462f,  -0.4398093f, 0.0502202f,
    0.0844219f,  -0.0019508f, 0.7161098f,  0.7006852f,  -2.0770853f, 0.5629959f,  0.3744029f,
    -0.8348983f, -0.1498420f, -0.5065339f, -1.9815942f, -1.5046518f, -0.7795568f, -0.0203371f,
    -1.8414525f, -0.4334671f, -0.7686654f, 0.5635676f,  0.0020965f,  0.3388266f,  -0.6402197f,
    0.3882154f,  1.8991723f,  0.5771493f,  1.7149363f,  0.9571424f,  0.5760532f,  0.6807142f,
    -1.3966147f, -0.4226589f, 1.1245592f,  1.5715252f,  0.8092474f,  0.9901307f,  -0.1385439f,
    0.4586462f,  0.0732195f,  0.5740602f,  -1.4847976f, 1.1318357f,  -0.0654358f, 0.6267857f,
    -0.8296185f, -0.1625858f, 1.5662797f,  -1.4438184f, 1.3215537f,  1.1387170f,  0.3435079f,
    0.3050598f,  -1.3271457f, 0.9192185f,  1.4753161f,  -1.3663455f, 0.5023516f,  -0.6168156f,
    0.9320217f,  -1.0476156f, 0.1288443f,  -0.0733483f, 0.0644705f,  1.5626906f,  -1.4803840f,
    -0.1388848f, -0.7217723f, 0.1661839f,  0.6128642f,  0.0000000f,  0.9357856f,  1.1747717f,
    -0.1211227f, -0.7399836f, -0.3896138f, 0.6377545f,  1.0923814f,  1.8614110f,  1.7428650f,
    -1.0953837f, -0.6736866f, 1.2580589f,  -1.3878641f, 0.3507104f,  -1.9843811f, -0.2213262f,
    -1.8228027f, 0.2589684f,  0.2278857f,  -0.8645714f, 1.1724198f,  -1.5081841f, -1.2753314f,
    0.6059872f,  0.0700864f,  1.6214074f,  1.2034540f,  1.6521452f,  0.7988300f,  -1.1556265f,
    0.3420365f,  0.9120150f,  -1.2837061f, 0.0337137f,  0.4298135f,  -0.3352935f, -0.2795775f,
    0.5947591f,  0.2143969f,  -0.0052601f, -0.7795763f, -2.0035516f, 1.4770712f,  -0.4727457f,
    0.7594524f,  -1.0971551f, -0.2249607f, 1.2904324f,  -1.0353967f, -0.0131586f, -0.8116601f,
    -0.0100004f, -0.5219685f, 0.4132602f,  0.6297310f,  0.2917267f,  -1.2140519f, 0.1307160f,
    0.4492758f,  -1.2878912f, 0.1892578f,  0.3143997f,  1.8996777f,  -0.0009710f, 2.0208253f,
    -1.5084475f, 0.8598934f,  -1.0104493f, -1.5471955f, -1.3047788f, -0.4226549f, 0.0551974f,
    -1.0740666f, -0.6991373f, 0.0635904f,  1.8339856f,  -1.9274750f, -0.0680724f, 0.4480305f,
    -0.7153952f, 1.2648665f,  0.9347967f,  -0.4071098f, -0.6285709f, 0.0655235f,  -1.7625587f,
    1.1559047f,  -1.0775293f, -0.3659486f, 0.9563979f,  0.6343372f,  1.9228541f,  0.3230330f,
    0.5285780f,  -1.5300493f, -0.2603322f, 1.7614226f,  0.1459205f,  0.3529018f,  -1.8549958f,
    -0.1046936f, -1.2794700f, -0.0384297f, 1.5979739f,  -1.7539074f, -0.3015689f, 0.6834667f,
    0.0148063f,  1.3499187f,  -0.0018299f, 1.3469099f,  1.1588216f,  0.0309317f,  1.6050365f,
    -0.1825499f, -0.1370479f, 1.8864235f,  0.0257808f,  0.3228913f,  0.3696378f,  0.0891627f,
    1.6712936f,  0.1070136f,  -1.9777402f, 1.9483520f,  0.9271817f,  0.3888500f,  0.6576093f,
    -0.0038528f, -0.2835360f, -1.5218265f, -0.9146694f, 1.9650729f,  -1.9783927f, -0.7514087f,
    0.6415828f,  -0.0035547f, 1.4636161f,  1.0249510f,  -0.3002532f, 0.2210174f,  1.4423485f,
    0.7033618f,  0.2290719f,  -1.2377523f, -1.1619488f, -0.2371294f, 1.8324805f,  -0.4886016f,
    -0.8065039f, -0.5791686f, 1.3010127f,  0.0742736f,  -0.5294833f, 0.3497995f,  -0.1957103f,
    -0.6166178f, -1.1279282f, -0.5447909f, 0.4184869f,  1.1689308f,  1.9251190f,  1.2265242f,
    -1.5802875f, -0.7246217f, -1.7460314f, 0.9611502f,  -0.9728328f, -0.1231994f, -0.0690206f,
    0.0587005f,  0.8111694f,  -1.2619630f, -0.2941379f, -0.8581374f, 0.0855205f,  0.5060500f,
    -0.0474456f, -0.0797362f, 1.3813340f,  -0.7746349f, 0.5530315f,  0.0722695f,  -1.7390222f,
    -1.6749146f, -0.6712603f, 0.9646246f,  -0.2844076f, 0.9292363f,  0.0463420f,  0.6109692f,
    -0.7333059f, 0.0636177f,  -0.1914890f, 0.1533535f,  -1.1459399f, -1.8542899f, -0.5649218f,
    -0.1639676f, 0.6309273f,  1.1748483f,  -0.1652583f, -0.9383533f, -0.8988432f, 1.9934591f,
    -0.8387944f, 0.1991848f,  0.4008573f,  -0.4304361f, 0.0528477f,  -1.0516195f, 1.6279201f,
    -0.1301636f, -1.4219611f, -0.2471198f, -0.5376137f, -0.3908187f, 1.1440206f,  -0.0355451f,
    0.1995471f,  -0.3824397f, -1.1819143f, -0.1596068f, -0.0565608f, 0.0061492f,  1.1821391f,
    0.6872898f,  1.1735032f,  -0.8130952f, 0.5477877f,  0.3417953f,  1.5881883f,  1.8361980f,
    1.8090082f,  -0.3570001f, -1.2646381f, 0.4715024f,  0.3759038f,  -1.5820320f, -1.3600102f,
    0.0733137f,  -0.0085493f, -0.4991918f, 1.4755897f,  -1.4169116f, 1.3656397f,  -0.1767864f,
    -0.3037104f, -0.3178030f, -0.0305178f, -1.7908729f, 0.1308570f,  0.8353857f,  0.5388463f,
    -1.3602038f, 0.0384716f,  1.5631929f,  1.4302855f,  0.5812327f,  0.2650660f,  -0.5327645f,
    -1.3114356f, -1.4632187f, -1.7508763f, -0.0012139f, 0.0473441f,  0.4750866f,  -0.3871346f,
    -0.1226998f, 1.1192005f,  0.8080056f,  -0.1954136f, -1.4888142f, 1.5585087f,  0.0002354f,
    -1.9526783f, -1.8859901f, -0.2882337f, 0.7981884f,  0.3207607f,  0.6401999f,  0.1547697f,
    1.8792355f,  -0.8671878f, -1.3139843f, 1.1143429f,  -0.7348323f, 0.9800922f,  -0.5096690f,
    -0.2246024f, 0.6809010f,  -0.1387820f, 1.1785148f,  -0.1844014f, 1.5124478f,  -0.0997657f,
    0.1482018f,  1.2423199f,  -1.9507887f, 1.8238448f,  -0.0861483f, 0.2360224f,  -0.8526124f,
    -0.2819745f, 0.3875052f,  1.0540319f,  -1.5989136f, 0.8705741f,  0.0286028f,  -0.6883668f,
    1.4079216f,  0.0236200f,  -0.0866319f, 0.8235593f,  -1.0762235f, -1.7363796f, -0.5447652f,
    -1.8318218f, 0.4496977f,  -0.1333649f, -0.6880469f, -1.1605396f, -1.2493192f, 2.2185299f,
    0.2268358f,  0.1571690f,  -0.3485033f, -1.3446552f, 0.1163927f,  -1.8912684f, -0.6891241f,
    -0.0168431f, -1.2024578f, -0.0546426f, -0.1671094f, -1.5424491f, 0.3963425f,  0.0438400f,
    1.0475633f,  -0.4239285f, 0.1080106f,  0.1797131f,  0.0379387f,  -0.9029273f, -0.4491421f,
    -1.6339318f, -1.5428115f, 1.6084018f,  -0.2823403f, 0.5934061f,  -1.7964788f, 0.9937033f,
    -0.7534087f, -0.4622557f, 0.0478596f,  0.6471944f,  -0.5741193f, -0.7447118f, 0.0465262f,
    -0.2158485f, 0.0174962f,  1.6302868f,  0.0598570f,  -0.0011056f, 0.0381201f,  -0.8977172f,
    -0.0785041f, -0.2219946f, 0.1248414f,  0.6864399f,  -0.1588067f, -1.7854718f, 0.4501071f,
    0.0004003f,  -0.7820077f, -1.3346195f, 1.5951968f,  1.7036690f,  -0.9625267f, -0.2358652f,
    -1.3541044f, 2.0208131f,  -0.0998553f, 1.2422199f,  1.6405493f,  -2.1415223f, -0.0454835f,
    -0.0047983f, 1.1214687f,  0.5135721f,  0.9430922f,  0.2518516f,  0.5823842f,  0.3975704f,
    0.8971412f,  -1.1505550f, -0.3185960f, -1.7587938f, 0.4092441f,  -0.4918702f, -0.7459180f,
    -0.1919713f, 0.8486906f,  -0.1091968f, 1.3275698f,  -0.0802925f, 0.0419015f,  1.5018614f,
    1.5976489f,  1.4518741f,  0.3537591f,  -0.4268977f, 0.0299334f,  0.1481035f,  1.4415626f,
    -0.6938356f, -0.7782518f, -0.2275082f, 0.5337882f,  -0.4198930f, 0.7490454f,  -0.7634669f,
    1.8778250f,  1.2278971f,  -1.0360179f, -1.7904580f, -0.0034355f, -1.3596516f, -1.1923288f,
    1.5009241f,  -2.0539756f, -0.8250277f, -0.5046546f, -0.1223973f, 0.1373670f,  0.7175935f,
    0.0023615f,  -0.9989981f, -0.0039676f, 0.1250853f,  0.9403895f,  -0.0077247f, 0.0295688f,
    -1.8153078f, -0.0950792f, 0.3012805f,  -2.1737755f, -0.9425630f, -0.9218821f, 0.1863438f,
    0.2434829f,  -0.0216966f, -0.0000887f, -1.4797703f, -1.5240376f, -1.1395316f, -0.3210734f,
    -0.4365782f, 0.1614082f,  -0.0851934f, 2.1979707f,  0.5205521f,  0.9493092f,  1.1265373f,
    -0.5815265f, 0.4723192f,  -0.9345167f, 0.6208869f,  -1.4033015f, -0.9654850f, 0.3051161f,
    1.5267667f,  -2.1324108f, -0.1339839f, 0.1694243f,  0.3984900f,  2.1359301f,  -0.1232838f,
    -0.0544568f, -0.0489383f, 1.0291673f,  0.3629526f,  -2.1303584f, 0.8628011f,  -0.2747024f,
    -1.0461770f, 0.9329279f,  1.3928858f,  1.4628999f,  -0.2916179f, 2.1050139f,  0.0685167f,
    -0.0335050f, -0.0152186f, -0.0715683f, 0.5421307f,  2.0127512f,  1.9368963f,  0.6242291f,
    -1.3430506f, 0.1950779f,  -1.3090574f, -0.4739920f, -0.2825988f, 1.0299057f,  -0.5193228f,
    0.0059583f,  -0.4387265f, -0.2021520f, -1.9589509f, 0.2846064f,  0.2550731f,  -1.8038893f,
    -0.9162640f, 1.3762308f,  0.1281714f,  2.1454217f,  0.0080034f,  0.0164932f,  0.4233957f,
    0.9625525f,  -0.0578619f, -0.0107547f, 0.0503444f,  1.3701335f,  1.4802961f,  1.6754409f,
    0.2118902f,  -0.4492283f, 0.4245905f,  0.0048855f,  -1.5155777f, 0.2766401f,  -0.9031185f,
    -1.9559406f, -0.5896310f, -1.7364539f, -0.9444911f, -0.3083444f, -2.0128145f, -1.7501289f,
    -0.7069670f, 0.3786721f,  -0.0383291f, -0.3956385f, 0.3252807f,  -0.5689706f, 0.3201175f,
    -1.0984044f, -1.2482556f, 1.0159803f,  2.0286691f,  0.1500488f,  -0.2400965f, 0.1517152f,
    0.3007838f,  -0.7797912f, -1.3217193f, 2.2030650f,  0.4259509f,  -0.7285178f, -2.1728225f,
    0.4810738f,  -0.7929252f, 1.7262313f,  -1.2983723f, 0.0097205f,  -0.4530922f, -0.1314131f,
    1.5113414f,  -2.1825469f, 1.9168471f,  0.0459918f,  0.0006713f,  -0.3610772f, 0.6259717f,
    0.1566000f,  -0.2537783f, 0.7803527f,  1.6482453f,  0.3687713f,  -1.4068237f, -0.1615895f,
    -0.3826146f, 0.4066168f,  0.5513234f,  -1.1350535f, 0.2218384f,  0.0005074f,  0.0053852f,
    0.2197311f,  1.6538461f,  0.0123401f,  -1.7352438f, 0.1581490f,  -1.3385851f, 1.8743875f,
    0.8381143f,  -0.0000058f, 1.4707484f,  -0.6274874f, -0.8189915f, 0.1744190f,  -1.6593822f,
    0.0975081f,  0.0023475f,  1.2298301f,  0.0781842f,  -0.0681841f, 0.7893691f,  0.8438951f,
    0.1881900f,  1.7182874f,  0.0281432f,  -1.6517416f, -1.8815403f, 1.0081778f,  -0.1032786f,
    0.1679788f,  -0.2278850f, -0.0222141f, -0.6697470f, -0.4087175f, 1.6905721f,  1.6963132f,
    0.0678240f,  0.0899988f,  -0.2172473f, -0.1629849f, -1.7881430f, 0.2129330f,  1.1074140f,
    1.2176427f,  1.6431821f,  0.1376733f,  0.0095923f,  -0.0276847f, -0.0767565f, 1.1268862f,
    -1.3750052f, -1.2208885f, 0.8357458f,  1.6435522f,  -0.0157027f, 0.3398257f,  1.0227306f,
    0.4697086f,  0.0000000f,  0.0000000f,  0.0067630f,  0.1754829f,  -0.1913716f, 0.0513654f,
    0.7068241f,  -0.3104002f, -0.3720493f, -1.0714209f, 0.1143216f,  1.0576747f,  0.9017192f,
    0.2217802f,  0.0387577f,  -0.2313045f, -0.1543482f, -0.2955871f, 0.6638264f,  0.0116019f,
    0.1959203f,  -0.2894897f, -1.7547200f, 0.9221273f,  1.4831871f,  -0.2680640f, 0.0366888f,
    1.9708028f,  -1.1329495f, -0.1430052f, -0.2869711f, 0.0215734f,  -0.0141660f, 0.3728347f,
    0.7813796f,  2.0004277f,  0.0052102f,  -0.0006284f, 1.4730510f,  -0.0231684f, 0.0000512f,
    0.6601805f,  1.1724015f,  -0.2137104f, -1.1369523f, 0.2411412f,  1.7526260f,  0.0116480f,
    -1.8702395f, 0.2583646f,  -0.0001865f, 1.6860543f,  -0.8422537f, -1.3802651f, 1.7248361f,
    -0.0009575f, 0.0174909f,  -0.6714268f, -2.0634519f, -0.0432574f, 1.6212926f,  -1.8449190f,
    1.1595237f,  0.5056940f,  -0.0013620f, 0.0741976f,  -0.0141544f, -0.7462619f, -1.3078015f,
    0.5808802f,  -0.5868925f, 0.7398409f,  -0.9084770f, -0.2195412f, -0.5383302f, 0.2811148f,
    -0.6095623f, 1.2813422f,  0.1725911f,  0.2436674f,  -0.0815662f, 1.6057655f,  0.1015099f,
    0.0801764f,  -1.3736084f, 1.5430823f,  -0.8857439f, 1.1644645f,  0.2495264f,  -0.0030528f,
    -0.8559657f, -1.3084488f, 0.8138691f,  -0.2627728f, 1.3752362f,  -0.2302584f, 1.7019223f,
    -0.3924818f, 0.4756525f,  -1.8285411f, 0.8111935f,  -0.7365615f, 1.4088443f,  0.0006123f,
    -1.8149930f, 1.0737638f,  1.2001065f,  -2.0243515f, -0.7679717f, 1.3176506f,  -0.0731921f,
    0.0403942f,  -0.4741607f, 0.0003576f,  0.7612009f,  0.0396694f,  0.0630928f,  0.4791318f,
    0.0003431f,  -0.0522683f, -0.2676324f, 2.0901925f,  0.2154561f,  1.2020470f,  -1.1355787f,
    -1.3615731f, -0.3368817f, -0.1403227f, -1.5862781f, 0.0000107f,  0.3022695f,  1.8561795f,
    -1.9601056f, 0.6279335f,  -0.9459741f, 0.0086972f,  0.0640896f,  -2.2931967f, -0.6291787f,
    0.7207897f,  -0.9911311f, 1.4858148f,  0.0959135f,  -1.8335513f, -0.4710988f, 2.0178301f,
    -0.4245212f, -2.2356163f, 0.6406812f,  1.3130646f,  0.1035111f,  -0.0777693f, 0.6501665f,
    2.2126359f,  0.0580485f,  0.0254196f,  0.0099276f,  -0.8646152f, -0.1718367f, -1.9043724f,
    0.7045769f,  -0.2305985f, 1.4242784f,  0.6219580f,  -1.2185771f, 1.8735689f,  -0.4417833f,
    -0.1289312f, -0.0240401f, -0.0036313f, -0.0013018f, -0.9761568f, 0.3654340f,  0.1425111f,
    -1.9177630f, -0.0262506f, 0.7365895f,  -2.0420826f, -0.8374444f, -0.5057341f, 0.2949493f,
    0.8472477f,  0.0195067f,  -0.0003059f, -1.1183510f, 0.8855191f,  0.9055908f,  -1.5114482f,
    -0.1522699f, 0.8917222f,  -0.7875007f, 1.9869213f,  -0.1824980f, 2.2126045f,  -0.0005328f,
    -0.0022328f, -0.2188701f, -0.6350094f, -0.0465104f, -0.0406289f, -0.0014053f, -1.6594182f,
    1.4004414f,  -1.5344315f, -0.0441864f, -0.9384474f, -1.8759278f, -0.0018818f, 2.2425286f,
    2.1397265f,  0.7598560f,  -1.5752953f, 1.3155776f,  0.0859718f,  0.5955623f,  0.0712153f,
    2.1698404f,  -2.3009924f, 0.3418600f,  2.2892117f,  -0.0105218f, 1.3827016f,  0.2558420f,
    0.3098383f,  -2.2729281f, -1.0949349f, 0.5692676f,  0.5100076f,  0.3321191f,  0.2374540f,
    0.0659074f,  -2.1279682f, 0.0009539f,  -0.7957452f, 1.4798985f,  0.0859078f,  -0.2176654f,
    1.6702770f,  -1.4258316f, -0.1033543f, -0.4892756f, -1.5383825f, 0.8969254f,  -0.2260984f,
    0.4065962f,  0.2273930f,  -1.3747126f, -1.2890185f, 1.9024415f,  0.0037580f,  0.0011550f,
    0.5061165f,  -0.4776654f, -0.2548600f, 0.0623721f,  0.4324260f,  -1.6047448f, -0.1864178f,
    -0.9390124f, -0.8951115f, 0.6703310f,  0.2659226f,  1.2566960f,  -1.8058613f, 0.1664350f,
    0.0000652f,  -0.0010788f, 0.1191604f,  1.7946527f,  0.0025454f,  -1.0143806f, -0.0531381f,
    -0.5439110f, 0.4666086f,  1.1749144f,  0.0000001f,  0.3400843f,  -0.7337697f, -0.3223569f,
    -0.0586469f, -2.2955816f, 0.1569463f,  -0.0234567f, -0.7545121f, 1.0823187f,  -0.1654180f,
    1.7825504f,  -0.2662563f, 0.5338133f,  1.6227543f,  -0.0032436f, -0.3720283f, 2.3142099f,
    -0.6647321f, 0.0032843f,  0.0626772f,  -0.2336764f, 0.0061561f,  -1.5056046f, 0.6565128f,
    0.0365912f,  1.4918664f,  -0.0270317f, -0.6513269f, 0.4007607f,  -0.0314341f, 2.0958260f,
    -0.0631730f, -0.6813588f, -0.7618475f, -1.7074159f, -0.5611114f, -0.0025415f, -0.0319499f,
    -0.0840288f, -0.8247904f, -1.3288929f, -0.0732547f, 0.4108827f,  -1.7910928f, 0.0048798f,
    -1.9748604f, 0.6715631f,  -1.2292730f, 0.0000000f,  0.0000000f,  1.1113374f,  1.1160081f,
    1.0437833f,  -0.3018177f, 0.4970537f,  -0.2218607f, 1.9560653f,  0.6558101f,  0.7992938f,
    0.8282116f,  0.2233709f,  1.7845344f,  0.2211650f,  0.3899093f,  -1.1316996f, -2.0351152f,
    -0.3363826f, 0.1356842f,  -0.8172647f, 0.2673504f,  -0.8017018f, -0.1926049f, 0.8872292f,
    -1.2699460f, 0.0896161f,  -0.6517476f, -1.5142553f, -0.7710667f, -0.2203590f, 0.1271482f,
    -1.2356307f, 0.2475356f,  1.8266615f,  1.2446434f,  -0.3988683f, 0.1521884f,  0.8793449f,
    -0.1395098f, 0.0036019f,  -1.7360697f, 1.5239971f,  1.2487398f,  -0.5784596f, 0.8703627f,
    -1.7625813f, 0.3734521f,  0.6314333f,  -1.1418155f, 0.0036168f,  0.8835141f,  -0.1021896f,
    0.7746929f,  0.3487276f,  -1.1986303f, -0.5211310f, 0.3929748f,  -0.1998842f, 0.0646396f,
    -1.3325135f, -0.1747871f, 0.1247362f,  -2.0876110f, 0.0274149f,  0.1195314f,  0.0371806f,
    -1.1075483f, 2.0723585f,  -1.2405953f, 1.3891254f,  -0.5293702f, 1.0598190f,  -0.3513737f,
    0.6651262f,  0.0651706f,  1.3192364f,  1.8255934f,  -0.9649645f, 0.6260292f,  -0.3105337f,
    1.2326137f,  -0.5866471f, -0.4109779f, 0.9023707f,  0.0943819f,  0.9325812f,  1.9986623f,
    0.1639087f,  0.2233648f,  -1.8941659f, -0.9006825f, -1.3091239f, 1.4988555f,  1.9990926f,
    0.5753263f,  -1.2383394f, -0.7998441f, -1.7035367f, -0.5346590f, -1.0547068f, -1.5272255f,
    0.1811312f,  0.0019292f,  1.2304209f,  0.6825554f,  -0.4468368f, 0.2661064f,  1.7635260f,
    -1.5152267f, -0.5716052f, -1.3044921f, -1.4294937f, 0.0092128f,  -0.3919040f, -0.2740644f,
    -0.1048582f, 0.8367888f,  -0.0219375f, -0.2999985f, -0.5710991f, 0.2959297f,  -2.0458471f,
    0.0402573f,  -1.3712057f, 1.6666611f,  -1.0624111f, -0.3549255f, -1.9422423f, 0.0002693f,
    0.9833363f,  1.0254870f,  -0.8943047f, -1.8225820f, -2.0053959f, -0.0361858f, -0.2812341f,
    0.0055502f,  -1.3634252f, 1.3363749f,  0.3970974f,  1.4127111f,  0.2603065f,  0.7399549f,
    -0.2609568f, 1.0357118f,  0.3885720f,  0.5751031f,  0.6776592f,  -0.1124921f, 0.3613433f,
    0.4983457f,  1.4868785f,  0.1151385f,  0.0904339f,  -0.0822868f, -0.0337380f, 0.8031501f,
    1.2046106f,  -0.1400224f, 0.5190688f,  0.5561692f,  -1.5266906f, 1.6322066f,  1.1646577f,
    -0.7435661f, -1.3998629f, -0.0526402f, -0.8053388f, 0.0456668f,  0.0217859f,  0.0737436f,
    0.9148192f,  -0.0798885f, 0.4478924f,  -1.1618813f, -0.6893198f, -1.2962706f, -0.4999483f,
    1.7309218f,  -0.8391449f, -1.0153167f, 0.7990292f,  -0.0033069f, -1.8934171f, 1.9280401f,
    -0.3710874f, -2.0327366f, 0.2608195f,  0.4070489f,  1.6644845f,  0.6891748f,  0.6972783f,
    0.0989082f,  -0.0889033f, -0.0182956f, 1.2630046f,  1.0482476f,  -0.2590678f, 0.2869972f,
    0.4558363f,  -1.1476287f, -0.2336721f, 0.7239813f,  0.1659891f,  1.9936530f,  1.7187976f,
    0.0898067f,  -0.3453587f, -1.0494062f, -1.6884520f, -0.1537782f, -1.7408219f, 0.3238349f,
    0.0780883f,  0.7988018f,  0.2702767f,  -0.2896977f, 0.1611689f,  -0.0824491f, 0.0019925f,
    -1.8576816f, -0.7582650f, 1.5046336f,  0.1365222f,  0.7367002f,  0.4575124f,  0.9710294f,
    0.1714871f,  -0.8395913f, 0.1778038f,  -0.9193764f, 1.7808782f,  1.0315968f,  -1.0889507f,
    -0.0124500f, -1.6460168f, -0.5249849f, -0.0579989f, 1.9298394f,  -0.1022183f, -0.1107245f,
    0.1062729f,  0.9271174f,  -0.7318059f, 1.1004483f,  -1.0443946f, 0.0518501f,  -0.4605604f,
    -0.0231490f, -0.0165271f, 1.3940557f,  -0.1491964f, -0.8815876f, 0.2241756f,  -1.7668883f,
    -0.0558453f, 1.9651699f,  0.0144518f,  -2.0182358f, 1.8791869f,  -0.5530768f, -1.9227007f,
    -1.3439739f, 2.0029208f,  -0.0002336f, -0.0170878f, 0.4266293f,  -0.3467750f, -0.0561580f,
    -0.2453614f, -0.7125138f, -1.0900877f, -0.3298959f, 1.6730876f,  0.0000050f,  -0.4019536f,
    -1.2828840f, -1.5669437f, -0.2335949f, 0.2551773f,  0.6417805f,  -0.1784217f, -0.9971315f,
    -2.0670988f, -1.0452149f, 1.6766115f,  1.0205975f,  1.4541127f,  -0.7570677f, 0.0229603f,
    -0.8137706f, 0.0921150f,  -1.6069963f, 0.2345794f,  -1.5536015f, 1.1514529f,  -0.0103172f,
    1.3553489f,  1.6757416f,  0.0353068f,  -0.1298110f, -0.1585310f, 1.6958744f,  -1.4828940f,
    -0.1746454f, -0.6498126f, -1.7208026f, -1.2315680f, -0.0414721f, 0.5936270f,  1.7524708f,
    -0.0095156f, 0.2640714f,  0.4753911f,  1.4891587f,  -0.7671589f, -1.2883770f, -0.7843162f,
    -0.4042208f, 0.0184716f,  1.5452990f,  -1.5900792f, 1.9621048f,  -0.0000000f, 0.0000000f,
    -1.2558127f, 2.1526520f,  0.5731918f,  -1.1360947f, 0.7960078f,  1.6774881f,  -0.6568774f,
    0.7070173f,  0.4710907f,  -0.4904861f, -0.4787257f, -0.1513957f, 0.6646636f,  -0.2629774f,
    -2.1411734f, -0.6776329f, -0.7433685f, -0.5914393f, -1.6799413f, 1.1861456f,  -0.0823992f,
    -0.4784381f, 0.2806908f,  -2.1596222f, 0.1059362f,  0.3617010f,  -0.5470829f, 1.8642962f,
    1.2489021f,  0.4033282f,  -0.6532037f, -1.2999602f, 0.6263749f,  -1.0680959f, -1.6198755f,
    0.4184554f,  0.6993275f,  0.7683808f,  0.0569919f,  1.8695770f,  -0.2175393f, -0.5940649f,
    0.5038568f,  1.5393352f,  -0.0596662f, 1.4926642f,  -0.2927913f, -1.7273894f, -0.0374238f,
    -0.1584532f, 1.7215204f,  -1.0442606f, -0.7966019f, 1.4575820f,  1.7712713f,  0.8790105f,
    -1.0313679f, 0.6106065f,  -0.2189774f, 0.8971541f,  1.2912830f,  0.4596272f,  -0.2200891f,
    0.0744364f,  -0.0482645f, 1.4908502f,  -0.8682214f, 1.1678333f,  -1.4713667f, -1.9079983f,
    1.1314607f,  0.8880514f,  -0.4859335f, -2.0171813f, 0.2199755f,  0.0124140f,  2.0484110f,
    1.0059207f,  0.2582256f,  -0.2811955f, 0.2001786f,  1.0705750f,  0.2176599f,  -0.4861432f,
    -0.1347062f, 1.1076948f,  -1.2720387f, 0.5689855f,  -1.6174264f, 0.4479030f,  -0.3886152f,
    -1.5740015f, 0.2678581f,  -0.6939359f, -1.1115762f, -0.7241366f, 1.2511343f,  -1.0656946f,
    0.3818055f,  0.2102834f,  0.1008672f,  -0.0639065f, -0.0619692f, -0.7001923f, 1.3147327f,
    -0.7674881f, -0.4211827f, -0.1509185f, -1.6603730f, 1.1669417f,  1.4522988f,  -0.0863203f,
    -1.0838574f, 0.9240619f,  -1.1768043f, 0.5918291f,  0.2216547f,  -0.8829506f, -1.1782280f,
    -1.5951254f, 0.3397711f,  1.3785246f,  0.3345476f,  0.0649045f,  -1.6082116f, 1.6348348f,
    -0.0125352f, -0.0019679f, -0.9071478f, 0.1104153f,  -0.0442630f, 0.2793095f,  -0.1537422f,
    0.0802582f,  -0.1749672f, -1.7247556f, -1.2928695f, -1.2244384f, 1.5948419f,  -0.8817786f,
    0.3512542f,  0.0858046f,  2.1411613f,  0.1722556f,  1.5249630f,  1.4226319f,  0.1076853f,
    1.1215229f,  -0.3036718f, 1.3670925f,  1.4873767f,  1.4714151f,  -0.6697503f, -0.3230045f,
    -0.5474520f, 1.5816616f,  1.6083227f,  -0.9190792f, -1.9499737f, 0.5412647f,  -0.1156458f,
    -0.6488532f, -0.0324195f, -0.7779671f, -0.1527837f, 0.0456674f,  -0.9776366f, 0.4861149f,
    0.2856575f,  0.6240581f,  -1.9032712f, -0.0387321f, -1.1307359f, 0.6931743f,  -1.4520226f,
    0.9878431f,  1.5942516f,  -1.7950275f, -0.2615997f, -1.4207030f, -2.0388571f, -0.0198321f,
    -0.0117960f, 0.0028278f,  0.8307994f,  -0.4475263f, 1.6801704f,  0.2746449f,  -0.0766287f,
    -0.8862547f, -1.3363523f, 1.6451297f,  -0.2668301f, -0.0825812f, 1.6319935f,  -0.6618390f,
    0.0450127f,  -0.9717963f, -0.8056712f, 0.3911483f,  -0.8017069f, 0.5463260f,  -0.3279865f,
    -0.1541361f, 0.3568893f,  -0.2327801f, 0.2924119f,  -1.1760912f, 0.1920938f,  -0.4872004f,
    -0.0380997f, -1.5694865f, -1.3301672f, 2.0338490f,  0.7385832f,  -0.4854299f, -1.6310774f,
    -1.5018317f, 0.3933659f,  -0.0909742f, 1.1129877f,  1.9142501f,  1.5152312f,  1.4779258f,
    -1.0889498f, 0.8992738f,  -0.0994460f, 1.4654195f,  -1.3975073f, 1.2950292f,  -1.1236266f,
    0.6498092f,  -0.2297021f, -0.0374162f, 0.3018278f,  -0.2251014f, -1.1892601f, 0.8393108f,
    1.4143961f,  -1.5058656f, -1.7234592f, -1.7804536f, -0.7025383f, 0.3748581f,  0.2209159f,
    -1.3313407f, 0.9518110f,  0.0779807f,  0.1224295f,  0.0232563f,  2.1549185f,  -1.4978978f,
    -1.4771836f, -0.7002526f, 0.3345655f,  -0.1415885f, 0.7222192f,  -1.4826606f, 1.6512914f,
    -1.9350833f, 0.8647686f,  -0.0484392f, 0.7844280f,  -0.0254093f, 0.1525941f,  -1.5514825f,
    -0.8404230f, -0.2871753f, 0.0093228f,  1.3096870f,  0.9044488f,  -0.0797278f, 0.6935021f,
    -0.0007683f, 0.1123316f,  0.3749634f,  -1.3842874f, -0.4907234f, -0.4096721f, 1.3187651f,
    -0.6792782f, -0.3810830f, 1.2659738f,  -0.5484304f, -0.1525401f, -0.8309543f, 1.7761429f,
    0.5836619f,  -0.0892628f, -0.2982776f, 0.6201519f,  0.2298657f,  1.1610713f,  1.1410218f,
    -2.1339010f, -0.2454919f, 0.1312262f,  0.1162813f,  0.0026792f,  1.4897816f,  0.8298692f,
    -1.8466455f, 2.1174253f,  1.2289649f,  0.4223414f,  -1.1025753f, -0.6601635f, -1.2774138f,
    0.7164771f,  0.1892344f,  0.2181385f,  -0.9786859f, -0.1091174f, 0.1843404f,  0.4062469f,
    -0.5939870f, 0.6433880f,  0.8259410f,  -0.1589891f, 0.6614861f,  -0.1343488f, -0.9545015f,
    -0.0000000f, 0.0000000f,  -1.0059627f, 1.2062941f,  -1.4168722f, 0.8417671f,  -1.4914986f,
    -1.0046633f, 0.1791198f,  0.8375819f,  -1.6947258f, 0.6848193f,  -1.4605360f, 1.0603062f,
    1.0494778f,  -0.0268508f, -1.0289568f, -0.4343906f, -0.2629988f, -0.8030168f, 0.0451745f,
    -1.7902040f, -1.6526756f, 1.4579666f,  0.4260872f,  -1.0677739f, 0.0446736f,  -1.5260015f,
    0.4831998f,  -0.4805521f, 1.7673838f,  0.6904817f,  -0.8138522f, -1.3957604f, -1.2590710f,
    -0.9370955f, -2.1890850f, -1.0722363f, 0.4673095f,  0.6656386f,  0.3946056f,  -0.3255475f,
    0.8827823f,  -1.1922476f, -0.4918091f, 1.1951911f,  0.9346599f,  2.1989129f,  1.6086389f,
    0.4338517f,  0.2140870f,  0.8726085f,  0.1321677f,  0.4465947f,  -0.2111110f, 0.6012956f,
    -2.0778929f, -1.1189253f, -0.1059763f, -2.1789049f, 0.6881488f,  0.1078761f,  -0.7022301f,
    -0.6775190f, 0.8480563f,  -0.0130847f, 0.0248151f,  -0.1328915f, -0.7733909f, -0.1977967f,
    0.3772436f,  0.0240263f,  -1.2061883f, 2.0833694f,  -1.6245182f, -0.0621873f, -0.5806735f,
    1.2828531f,  -1.6029835f, 0.4259095f,  2.1474808f,  -0.6466564f, 1.9144204f,  -1.3917299f,
    0.3763274f,  0.0351257f,  -0.3701148f, -0.5239507f, -1.8894018f, -1.1667346f, 0.0615611f,
    -0.3453726f, 0.0485196f,  -0.4961025f, -1.2162017f, 0.2998566f,  1.0529224f,  -0.1150272f,
    0.8641456f,  -0.2929058f, 0.3145612f,  1.5016527f,  1.6909920f,  -0.6186155f, 1.5810631f,
    0.8242440f,  -0.2768883f, 1.0402583f,  -1.3565012f, -1.2593250f, -2.0067889f, 0.8764460f,
    -0.0901400f, -0.2704175f, -0.1126970f, -1.5513053f, 0.3212860f,  -0.0407979f, -0.9391407f,
    -1.3276502f, 1.1916700f,  -0.2461868f, -0.9162808f, -0.2408039f, -0.7674267f, 1.2745049f,
    -0.9717934f, 0.5615415f,  1.1926370f,  -0.1149669f, -1.4042987f, 1.6134677f,  -1.0240380f,
    -0.0922794f, -1.0007664f, -0.0920639f, 2.0755966f,  0.0032116f,  -0.2128568f, 0.2704764f,
    0.0508987f,  -1.2270611f, 0.1936014f,  0.7806901f,  0.1132790f,  1.3835638f,  -0.0019093f,
    -0.4342663f, -0.2610603f, 0.9956121f,  -2.1753513f, -0.9279816f, 0.2901096f,  0.0646957f,
    -2.2563900f, 1.8806173f,  -1.8128492f, 0.0898849f,  -0.5539643f, -0.8965097f, -0.0418599f,
    -2.0031117f, -1.3141005f, 0.5770987f,  -0.5211143f, 0.4470948f,  0.8326024f,  0.0288174f,
    1.3745415f,  1.6099045f,  1.1980418f,  0.0611946f,  -0.3390545f, 0.0416127f,  0.2457286f,
    -0.7787413f, 0.8897469f,  0.9353629f,  0.6349184f,  -0.1663218f, 1.6879944f,  -0.1614766f,
    1.1958029f,  -0.0676651f, -1.3206988f, 1.2523612f,  1.4550715f,  0.9731039f,  -0.4134991f,
    -1.6793579f, -1.4564778f, -0.4251794f, 1.1886651f,  0.0570678f,  0.9218415f,  -0.2093012f,
    -0.4215163f, -0.1236638f, 1.9401073f,  1.6188185f,  -1.3860016f, 0.6235335f,  -0.0755573f,
    -0.4117450f, 0.3237896f,  0.9490532f,  -1.0455987f, -0.9797200f, -0.5013202f, 0.7684424f,
    1.4349391f,  -1.5952079f, -1.3774343f, -0.5722849f, -0.1362143f, 1.6980899f,  0.7911168f,
    -0.5187926f, 0.9551554f,  0.0622012f,  -1.6711902f, 1.3203112f,  -0.6835339f, 0.0693049f,
    -0.1041271f, -0.8339678f, -0.8754410f, 0.6177539f,  -0.0909673f, -1.1303701f, 2.2889168f,
    0.7006698f,  -0.0301367f, -0.1442784f, -1.4064028f, 0.0071416f,  -1.0311421f, -0.5183805f,
    0.7548010f,  0.4951706f,  0.6595523f,  -0.0677031f, -0.1347092f, 1.4563448f,  1.4501333f,
    -1.4216060f, 0.5299681f,  -0.3830103f, -0.2449347f, -0.1448037f, -0.4887178f, -0.7326615f,
    0.0651106f,  -1.1065007f, 2.2557285f,  -0.5953705f, -0.0219300f, 1.0095886f,  1.1877350f,
    0.4612460f,  -0.3523432f, 0.4507969f,  0.5954753f,  -1.4628139f, 0.3953638f,  0.0173909f,
    0.3332766f,  -0.7035713f, 0.2115745f,  0.6306357f,  1.6731320f,  1.0963850f,  1.3842506f,
    0.1616966f,  -0.5022946f, 0.0277130f,  0.1320792f,  0.2776840f,  0.7352144f,  -0.5216599f,
    0.4161742f,  1.2811084f,  -1.3257914f, 0.2844138f,  0.5530235f,  1.4568399f,  -0.9004024f,
    0.6674615f,  0.6335021f,  -0.3852604f, 0.1933444f,  1.6449910f,  0.1933703f,  -0.7124621f,
    2.1583196f,  0.5301178f,  1.3145396f,  1.3729235f,  1.2230700f,  -0.0940971f, -0.0144545f,
    -0.0796421f, 0.6916505f,  0.3740653f,  -0.7649937f, -2.3032016f, -1.3551704f, 0.2253517f,
    -0.7232628f, -0.0272056f, -0.3521745f, 1.1429500f,  0.1485073f,  1.7325620f,  -1.9707423f,
    0.6620952f,  -1.3085600f, 1.3868189f,  -0.0448786f, 0.2457978f,  -1.2076745f, -1.0226751f,
    -0.7332998f, -0.5788633f, 0.0000000f,  0.0000000f,  -0.5256496f, -0.5274555f, -0.6470432f,
    1.6532069f,  -0.3826545f, -0.8967660f, -1.6259877f, -1.2400608f, -0.4203344f, -1.1915965f,
    0.7367761f,  0.1289403f,  0.6028893f,  0.0881736f,  0.6529965f,  -1.5894140f, -1.4498044f,
    2.5309180f,  1.0948714f,  -0.3290383f, -0.1917340f, 0.7432235f,  -0.1184756f, 0.5420710f,
    -0.0164057f, -0.3748283f, 0.2706332f,  -1.0009387f, -0.3576150f, 0.4572069f,  -0.7796597f,
    0.7120415f,  -0.5292898f, 0.3366197f,  -0.4789516f, -2.5113602f, 0.4199709f,  -2.4112499f,
    1.0573026f,  -0.6035750f, 1.3113573f,  -0.6944852f, 1.3327077f,  0.0353238f,  -0.1058499f,
    0.7064937f,  0.1861433f,  -1.2572328f, -0.5398719f, -1.0639907f, -0.8412638f, -0.9297298f,
    0.2494381f,  -1.0043122f, 0.2703914f,  -0.9816609f, -0.7369016f, 1.6374032f,  -0.0087749f,
    -0.2883204f, -0.9637984f, 1.4548302f,  -1.2829828f, -0.0261270f, 0.0051577f,  1.7265037f,
    0.4731877f,  -0.3201316f, 0.3726589f,  -1.7134956f, -0.4388119f, 0.1675457f,  0.1009672f,
    -0.1646333f, -1.3072773f, 0.8839666f,  -0.1442038f, 1.3436166f,  1.4228568f,  0.0205080f,
    -0.9430796f, 0.5541082f,  0.6842378f,  -0.9390692f, 0.0997463f,  -0.5125452f, 0.2085199f,
    -2.2958649f, 0.6128390f,  0.9223472f,  1.4441865f,  0.9436459f,  -0.3052211f, 0.1070190f,
    0.3722635f,  0.1933123f,  -0.8136799f, -0.8368017f, -0.1806031f, 0.1144592f,  0.2047080f,
    -1.6304766f, -0.1314566f, 1.2481279f,  1.4111195f,  0.9128749f,  0.4402854f,  -0.3695418f,
    -0.4748644f, 0.8929142f,  1.7259107f,  2.1817483f,  1.3063419f,  0.8986608f,  1.9303478f,
    -0.1962215f, 1.4737739f,  -0.6840775f, 0.6228843f,  0.6155094f,  1.0357908f,  -1.0665276f,
    -1.3500265f, -0.9630523f, 0.1446849f,  -0.6859550f, 0.1784551f,  -0.8869998f, 0.3430774f,
    0.0635864f,  0.9447880f,  1.5664885f,  -1.2092855f, 0.0324243f,  -1.6336469f, -1.6040064f,
    0.3626534f,  -1.6301660f, 1.7336978f,  0.2543090f,  -0.0305995f, 1.1450187f,  1.1259155f,
    -0.5166189f, -1.1705407f, -0.5107900f, -0.0745077f, -0.8567671f, -1.1827992f, -0.8774177f,
    -0.4141705f, 1.2813560f,  -1.4722474f, -2.0177465f, -1.7705567f, 1.7391240f,  1.1409013f,
    0.9761662f,  -1.6813900f, 0.1610140f,  0.9354761f,  -1.2134738f, 0.0828081f,  0.2284890f,
    -1.1672334f, -0.0123383f, 0.3998304f,  1.7224045f,  1.7022644f,  1.4762694f,  -1.2599927f,
    0.0084715f,  -0.9022192f, 0.8788197f,  0.6706062f,  -0.2952516f, -0.7542399f, 0.8610390f,
    0.2850201f,  -1.6951493f, 0.6620802f,  -0.1029390f, -0.4585510f, 0.4183388f,  -0.4518131f,
    0.3301439f,  -0.7208067f, 0.0544332f,  0.2686092f,  0.2709602f,  -0.1596206f, 1.5206273f,
    2.6100996f,  -0.2286545f, 1.3341550f,  0.2394052f,  1.8620972f,  -0.9138776f, 1.4983157f,
    -0.0655540f, -1.2254599f, -0.1461648f, -0.0789669f, -1.2651392f, -0.0049761f, 2.5865346f,
    -1.2584030f, 0.3876191f,  -0.3297778f, 0.2812069f,  0.1474235f,  0.8631521f,  1.2321831f,
    -0.2014357f, -1.0682798f, 1.2236235f,  0.9320706f,  0.5492510f,  1.9354896f,  -0.1512779f,
    -0.0693594f, -0.9084688f, -0.5574695f, -0.6434869f, 1.0754894f,  1.0118505f,  0.0237205f,
    0.0362245f,  -0.5977722f, -0.4495229f, -1.6553376f, -1.3838215f, 0.8558042f,  0.0113931f,
    0.1709038f,  -1.3063637f, 0.9762225f,  1.5398867f,  -1.1015722f, -1.5694286f, 0.8341729f,
    -0.0440545f, 0.6699456f,  0.4295263f,  -0.0120712f, 1.0575541f,  0.6681883f,  0.1089242f,
    0.8319097f,  1.2370586f,  1.1200606f,  -0.0008243f, -0.4981539f, -1.3069784f, 0.7919325f,
    -0.6834830f, -0.9948914f, 0.7097027f,  -0.8075630f, -0.4520111f, -0.4223888f, 0.1995840f,
    1.6102990f,  1.4993340f,  -2.4501845f, 0.7265051f,  0.2649594f,  2.6653907f,  -0.3157325f,
    -0.4122697f, -0.3207254f, 0.0076438f,  -0.3306716f, -0.3427795f, -0.0580425f, -1.4007254f,
    0.8896042f,  -0.1524479f, 1.2668344f,  0.2452520f,  -0.9671915f, 0.1753098f,  -0.6062637f,
    -0.2285322f, -0.0628836f, -0.9995286f, -0.4071638f, 0.2431960f,  -0.1759350f, -0.0557147f,
    -1.2714217f, 0.7354940f,  1.1157831f,  1.3441320f,  0.3772627f,  -2.0129585f, 0.5572530f,
    1.5148744f,  -0.0029105f, 1.5639497f,  -2.3167573f, 0.5654179f,  -0.6161246f, 0.9794779f,
    -0.6344402f, -1.5701539f, -0.5466830f, -1.5557248f, -0.2126494f, 0.0297753f,  -2.5795481f,
    -1.0291069f, 1.2496254f,  0.6699950f,  -0.9666034f, 0.6160057f,  -0.1892154f, -0.2582789f,
    -2.0786942f, -0.1401875f, -0.6140773f, 0.4575723f,  0.0000000f,  1.1847962f,  -1.3338414f,
    1.1776591f,  -0.8811187f, 0.8699826f,  -1.0689040f, -0.9893558f, 0.1317287f,  0.3406530f,
    -1.3541765f, -0.6766069f, -0.8767911f, -1.1455767f, 0.2217841f,  -0.1185325f, -1.0622583f,
    0.1746591f,  -0.2836239f, -0.2128725f, 0.2851254f,  1.3556439f,  1.1365297f,  0.8738366f,
    -1.1465361f, 1.1259126f,  1.1821418f,  -1.0978475f, -0.6714057f, 0.6659179f,  1.3479163f,
    0.1204900f,  0.9904056f,  1.1999363f,  0.8778200f,  -0.9579715f, 1.2777198f,  -0.3263431f,
    1.1093695f,  0.0751482f,  -2.6830292f, 0.6507524f,  0.4348654f,  1.2765051f,  -0.4829787f,
    1.3895069f,  1.1204166f,  1.1211755f,  -1.1368790f, -1.0126661f, 2.7641009f,  0.7633748f,
    -0.1080676f, -0.9318970f, -0.4608407f, 0.1650569f,  -1.3529254f, 0.5725773f,  -1.0227668f,
    -0.4109757f, -1.1492493f, -0.2193703f, 0.5140605f,  0.4181359f,  -1.8245041f, -0.0117375f,
    -1.3016233f, 0.0297516f,  -0.6442218f, -0.6745135f, -0.8460589f, 0.4384452f,  0.9757431f,
    -1.3836899f, 1.1440607f,  -1.3870409f, -0.7663714f, -0.9067865f, 1.3757077f,  0.5607928f,
    0.8495759f,  -1.1472867f, 1.1923610f,  0.8210180f,  -1.0435288f, 0.9453669f,  0.9875212f,
    0.3597052f,  -1.3770932f, -0.1439367f, -0.2496975f, -0.9504358f, -0.3573371f, -0.0938862f,
    -1.0274957f, 1.1915448f,  0.9694579f,  -0.6595988f, -0.4434548f, 0.9808450f,  0.6502995f,
    1.1390244f,  -1.1322337f, -2.3885212f, 1.1441106f,  -0.3303185f, -0.5092736f, 0.7597889f,
    0.9735130f,  -1.1118150f, -1.2339578f, 1.2082522f,  0.1514133f,  -2.3634238f, 0.2355084f,
    -0.3016164f, -0.6749041f, -0.1823141f, 1.7899234f,  0.4567114f,  0.8869360f,  0.2492474f,
    -0.8599226f, -0.1769779f, 0.3175511f,  -0.8398727f, -1.3441094f, 1.3082941f,  -1.1026409f,
    3.1353311f,  -1.0650461f, 1.1482806f,  0.8410612f,  0.2351159f,  -0.6728343f, -0.8962969f,
    -0.6677199f, -0.0346475f, 0.6610409f,  -0.2892854f, -0.0718884f, 1.0769860f,  -1.3349199f,
    0.6690896f,  -1.1169343f, -1.0617876f, 0.3177371f,  0.4824277f,  0.9694608f,  -0.7222705f,
    1.0257335f,  1.2510138f,  0.7183525f,  -0.6944154f, -0.6495818f, -0.1716801f, -0.3835031f,
    0.0121308f,  -1.0879421f, 0.6531237f,  -0.5245699f, -1.3850454f, -0.8486574f, 0.7641789f,
    -1.0894041f, 0.8165050f,  -0.9789999f, -0.8759718f, -1.3604033f, -0.7144832f, 1.4325010f,
    -0.0623404f, 1.0197258f,  -1.0637385f, 0.9510266f,  0.9417967f,  -0.7149927f, 0.9907528f,
    0.5171296f,  -0.1742378f, -1.3708341f, 0.1610017f,  1.1244037f,  2.1182954f,  1.0922014f,
    1.1035357f,  1.0406202f,  0.9309875f,  -1.3002504f, 1.1481823f,  -1.0879089f, 0.7259576f,
    -1.3333222f, 0.3653780f,  -0.9247324f, -1.3954257f, 0.9439931f,  -0.0252743f, -0.4468556f,
    0.3631142f,  -0.9384140f, -1.1251145f, -0.7774570f, 0.9425205f,  1.1635289f,  0.6104116f,
    1.1495844f,  0.9382825f,  -0.3981362f, -0.8394585f, 1.0559456f,  -1.1160932f, 1.1436673f,
    0.4410512f,  -0.4178090f, -1.3670451f, 0.5862572f,  -0.3995773f, -0.9594412f, 0.0706961f,
    -0.6674002f, -1.1231115f, 1.3667673f,  -0.3756752f, -0.1164947f, -0.6956410f, 0.3673709f,
    -0.8725665f, 1.0190112f,  -1.3890279f, 1.2473473f,  -0.7436145f, -0.3565452f, 0.4282840f,
    0.8755724f,  0.3502181f,  -1.1424546f, 0.4630351f,  -0.5498026f, -0.3716944f, -0.7753604f,
    -0.1490125f, -0.1107103f, 1.3895371f,  1.2530671f,  1.3484417f,  1.1484010f,  -0.2807963f,
    1.0459550f,  -0.4626262f, -2.2034315f, -0.8949380f, 1.1207388f,  1.3919757f,  -1.2886990f,
    -0.6799063f, 1.0076529f,  -1.0319026f, -0.6279734f, -0.1488125f, -0.0057891f, 1.3529019f,
    -0.5442845f, -1.1375950f, 0.1554867f,  2.9471872f,  -1.9894225f, 1.2972525f,  -0.4394068f,
    1.2116723f,  1.1029508f,  -1.3599672f, -1.0703678f, 1.1442693f,  -0.5798415f, -3.2756943f,
    -0.7925614f, 0.5343579f,  0.3077551f,  -1.0594593f, -0.3248265f, -1.2677881f, 0.2089233f,
    0.6078367f,  0.3071378f,  1.3803370f,  1.1383901f,  0.8762684f,  -1.0153768f, -1.1364475f,
    0.9416217f,  -1.1478802f, -0.1471408f, 1.0210973f,  -0.6845713f, -0.8968432f, -1.2698852f,
    1.1809762f,  -1.0594934f, 0.3999188f,  -1.0528682f, 0.1702477f,  -0.2205972f, 0.7104626f,
    -0.9539541f, 0.9666746f,  0.9981671f,  0.5792960f,  -1.0775178f, 0.0419268f,  -0.7452764f,
    1.1494113f,  1.8087938f,  -0.3109943f, 1.0278569f,  1.0447967f,  -0.7557885f, -0.8817242f,
    0.4660006f,  0.5079333f,  1.4300540f,  -1.1122523f, 1.0611826f,  0.4814661f,  1.6056540f,
    -1.0840108f, 0.1685393f,  0.8633223f,  0.8440211f,  -0.3093405f, 0.4557842f,  0.9644298f,
    -0.6810619f, 1.0553226f,  0.1963964f,  -0.5208356f, -0.7774745f, 0.0453710f,  -2.2697476f,
    1.7602617f,  -1.0255128f, -0.6165477f, 0.5662305f,  0.5573926f,  1.3697773f,  -0.2919238f,
    -0.1533304f, -0.7784566f, -0.0151576f, 0.9701049f,  1.0021757f,  0.3001700f,  1.3308717f,
    -1.2636581f, 0.3246218f,  2.5087486f,  -0.2521761f, 0.6493120f,  -0.9291371f, -0.8257296f,
    -0.6503285f, -0.8000032f, -0.0633365f, 0.4023837f,  -1.5804428f, -1.5047824f, -0.8615112f,
    -0.3182075f, -0.5920879f, -0.1123168f, 0.3502396f,  -1.0128704f, 0.1529318f,  -0.2725632f,
    -1.7108249f, 0.5623735f,  -1.3593455f, -0.1645412f, -1.4508394f, 1.3817956f,  -0.3864023f,
    -1.0785079f, 0.0271528f,  -1.4688888f, -0.0411563f, -1.5498190f, -1.0666405f, 0.6175398f,
    2.2382577f,  1.7483101f,  0.6809373f,  0.2542575f,  -1.3044911f, 1.5744304f,  1.4255629f,
    0.1253294f,  -0.7316759f, 0.1367066f,  0.1236359f,  0.0026140f,  0.8171367f,  0.5018201f,
    -0.2595423f, -0.4049117f, -0.9508995f, -0.1016793f, 0.4935645f,  1.6613184f,  0.0801722f,
    0.0107561f,  0.8372589f,  -1.5339568f, -0.1930852f, 0.7041662f,  -1.6477278f, -0.1048548f,
    0.9709157f,  -1.4502030f, 0.6709363f,  -0.9763167f, -0.7831039f, -1.6043496f, -1.3345009f,
    -0.0901582f, 1.3693329f,  -0.1889963f, 0.1950739f,  -1.4966419f, 0.0902915f,  1.0547319f,
    -0.2913151f, -0.7909632f, 0.7580180f,  0.1819128f,  0.8213072f,  -0.3086454f, -0.3602088f,
    0.4858558f,  -1.1785256f, -2.1055494f, 0.1366059f,  -1.7516715f, -2.1358546f, -2.0478234f,
    -0.8143388f, 1.4419204f,  -0.3704629f, 1.1747686f,  -0.9329680f, -0.5966583f, -0.4814403f,
    0.0862462f,  0.4270773f,  0.6063245f,  -0.5026523f, -0.0467795f, 0.5595240f,  -0.8010552f,
    0.6146167f,  -1.6423986f, -1.0526774f, -0.0544735f, 1.5738263f,  -0.2893600f, 0.0859309f,
    0.5053230f,  -0.5462113f, -0.6322569f, 0.0516751f,  -0.3421957f, 1.2985695f,  -1.3663097f,
    -0.8828361f, -0.9127001f, -0.7980013f, -0.1841898f, 1.5219748f,  0.0433077f,  1.2998963f,
    1.5976897f,  -1.9786618f, -0.1802045f, -0.2837819f, 0.8938140f,  0.1231942f,  -0.1146718f,
    -0.6134997f, 0.2744662f,  -0.5163602f, -1.1103024f, -0.6374882f, -1.0434008f, 0.1404948f,
    -2.1224271f, 2.1078829f,  0.6254917f,  -0.2069575f, 0.6129970f,  0.0840765f,  0.2879201f,
    1.0666241f,  0.7635058f,  1.2213182f,  1.5382632f,  0.1811017f,  -0.2219939f, -0.8958635f,
    2.4174391f,  -0.2252556f, -0.1876427f, 0.5170284f,  -0.9110089f, 0.0660417f,  0.0610029f,
    -0.4560627f, 1.2178972f,  -0.5561038f, -0.0869931f, -0.8773203f, -2.7075431f, 0.3195104f,
    -1.7295074f, 1.1102983f,  2.0453162f,  -0.4918298f, -0.3263460f, 0.0341780f,  -0.9116974f,
    1.1342918f,  0.6498280f,  -0.0142656f, -0.9460911f, 0.8293853f,  1.0298985f,  0.5586374f,
    -0.2678295f, 0.0757634f,  1.2069348f,  -1.2064068f, -0.3056799f, 0.8782898f,  -0.8786228f,
    0.9818267f,  -1.5055847f, 1.9192833f,  -0.3142051f, -0.3614784f, -1.4791771f, 1.4970350f,
    1.1074131f,  1.2017894f,  0.2767819f,  0.7471549f,  -0.1234910f, 0.6835064f,  -1.1420067f,
    0.5374300f,  -1.0236275f, 0.6476688f,  -1.5299484f, -0.0598154f, -0.6757524f, 1.0197616f,
    0.4704367f,  -1.0683387f, 0.2684875f,  -1.3632985f, 0.1084087f,  -0.4934921f, 0.2146699f,
    0.0742450f,  -1.1433356f, 0.0557945f,  2.6769565f,  2.2099771f,  -0.7082326f, -0.0293341f,
    -0.0027947f, -0.5845152f, 0.3322008f,  0.0054452f,  -0.2395092f, -0.9914833f, 1.5598805f,
    1.5520131f,  0.0577466f,  -1.4222631f, -0.1223523f, -0.5798226f, 0.0521242f,  0.4828669f,
    0.1150049f,  1.4609324f,  0.6562064f,  0.3363936f,  -0.1101476f, -0.4951124f, -0.1564354f,
    1.4134801f,  0.3892904f,  -1.2032003f, 0.9305472f,  -1.3851466f, 1.3543039f,  0.8770253f,
    0.8053582f,  2.4025236f,  -1.4139870f, 1.5308600f,  0.1056107f,  -0.2185845f, 0.2979370f,
    -1.2164525f, -0.0289921f, -2.7486255f, -0.0705071f, -0.9590362f, 0.1719010f,  1.5673668f,
    0.4686017f,  0.6872120f,  -1.8705629f, 0.2881544f,  0.8345673f,  0.6589350f,  0.2759405f,
    -0.3896402f, -1.4783866f, 1.2127508f,  1.1761242f,  -0.4885825f, 0.5404042f,  0.1374985f,
    -0.3929969f, 1.2067390f,  -0.0116989f, -0.1940447f, -2.0368044f, 0.6805070f,  -0.1422912f,
    0.8010000f,  0.8656167f,  -1.6982650f, 1.4184699f,  1.7386230f,  0.3848097f,  -0.1445953f,
    1.4651901f,  -0.0000000f, -2.3319555f, -1.4074547f, -0.6187128f, 0.3810028f,  2.1705719f,
    0.2621753f,  0.0731457f,  -0.1763049f, 0.1357003f,  -1.4176345f, -0.6337197f, 0.0785661f,
    -1.3200969f, -1.8361474f, -0.2673468f, 0.4803793f,  0.4756613f,  -0.2853396f, 1.7346789f,
    0.0102044f,  0.2147656f,  0.3724792f,  -0.0675519f, -1.6379396f, -0.6571354f, -1.3641183f,
    -0.3417476f, 1.1389674f,  -0.1130203f, 0.1713434f,  1.8314591f,  1.1264865f,  0.1289034f,
    -0.7464930f, 0.9583399f,  -0.6800835f, 1.5121932f,  1.5140754f,  1.9388509f,  -0.1629319f,
    -0.3405245f, 0.3818906f,  1.0278959f,  -0.4442479f, -1.7121903f, -1.4050788f, -0.8093558f,
    -0.3181766f, -0.9535695f, 0.3054362f,  0.5948631f,  0.0658831f,  -1.2222086f, 0.5958084f,
    -0.1951342f, 0.7576845f,  -0.1054327f, -1.4360935f, -0.2371062f, 1.5404239f,  0.2799007f,
    -0.0713191f, 0.6542709f,  -0.4966927f, 0.4376887f,  1.6379745f,  0.4414065f,  0.9257789f,
    0.4662800f,  0.6722425f,  0.1633646f,  -0.6439034f, -0.4267269f, -0.3312928f, -1.9577704f,
    -0.2830084f, -0.7657539f, -0.9972334f, 0.6424707f,  0.8890829f,  1.5378592f,  1.3280318f,
    -1.8542354f, -1.5838553f, 1.5331373f,  -1.5313030f, -0.6965111f, -0.1454432f, -1.7230870f,
    -0.0713108f, -1.4993901f, -0.0197755f, 0.2198005f,  1.0600897f,  -1.3513355f, -0.8572148f,
    0.4703906f,  0.4451883f,  1.3435201f,  -1.1717579f, -0.7850591f, -0.0815477f, 0.0530483f,
    0.6079641f,  -0.1394246f, -0.6420376f, 0.1496295f,  -0.7737578f, -0.9691491f, 1.1552886f,
    1.1163066f,  -0.2065429f, 0.5770487f,  -0.0116245f, 1.4862899f,  -2.2586410f, -0.1798169f,
    0.3565099f,  -1.7654452f, -0.3232238f, -0.2358196f, -1.1170721f, 0.0233131f,  0.2900678f,
    -0.6337651f, 1.4708011f,  2.1977947f,  1.1779313f,  -0.0447994f, 0.5494977f,  0.5030771f,
    0.5613442f,  -0.0666332f, -0.7302074f, 2.3307587f,  -0.9418271f, -0.0472295f, -0.4373489f,
    -0.7378856f, -0.5121913f, -0.9103457f, 1.7224976f,  0.4913750f,  -1.2314823f, -0.5861758f,
    0.0001985f,  -0.4996339f, -1.5356251f, 0.0630056f,  0.8783309f,  2.1128923f,  -0.4935674f,
    -0.9559909f, -0.2816595f, 0.4429758f,  -0.2018709f, 0.4290755f,  -1.0446688f, 0.0791163f,
    -0.2841246f, -0.6930190f, -0.5709791f, 1.2104734f,  1.5829500f,  -1.0402858f, -0.5348784f,
    1.2183134f,  -1.7143873f, -0.3386600f, 0.2580049f,  -0.0592509f, 1.0042656f,  1.5052486f,
    1.3069979f,  1.0609113f,  0.4278876f,  -1.0285458f, -0.3180014f, -0.1020194f, -0.7920172f,
    0.6059458f,  -0.3671490f, 0.7930898f,  1.0198818f,  1.1151652f,  -0.1967808f, -1.1662826f,
    -2.2376082f, -0.1917742f, 0.8075389f,  -0.9082393f, 1.9000069f,  0.4971369f,  1.2163498f,
    -1.2303506f, 0.8295729f,  0.4381262f,  -1.0484844f, -1.4498534f, -1.8836842f, 1.4894347f,
    -1.3535099f, -1.2511163f, -2.3142079f, 0.6801113f,  -1.3164052f, -1.1600578f, -0.2151150f,
    0.8762623f,  -0.7918394f, -0.0777811f, 0.9861894f,  -0.1954715f, -0.0028799f, 0.7289308f,
    0.1559151f,  -0.1749915f, 0.0496964f,  -0.0739060f, 0.0140523f,  1.0533068f,  -1.7155976f,
    0.0351389f,  0.1204244f,  0.4753135f,  -0.0974051f, -1.0446922f, -1.4312118f, 1.7609478f,
    -0.3076941f, 0.7521202f,  -0.0415199f, 0.0441614f,  0.3970032f,  -0.4794889f, -1.2926346f,
    0.3669929f,  0.0329451f,  -0.7347868f, -0.0202075f, -0.1920861f, 0.0688655f,  -1.4959634f,
    0.4502271f,  1.0669765f,  -1.5867217f, 0.0299017f,  1.4564270f,  -1.7764257f, -0.5571571f,
    -0.4301348f, 1.2422033f,  -1.7125960f, 0.3621699f,  -1.0955197f, 1.5946154f,  -1.2636295f,
    -0.0040757f, 0.4019673f,  0.2469071f,  1.7355079f,  0.9141158f,  -0.7447092f, 0.4778279f,
    -0.2498195f, 0.8127235f,  2.1666008f,  0.5641035f,  -1.2031338f, -0.1061251f, -1.9053579f,
    0.6201052f,  -1.6506532f, 1.0147938f,  -0.0035356f, 1.3657897f,  0.1167575f,  -0.3362839f,
    2.2877774f,  -0.1565169f, 1.9083856f,  1.3797825f,  -1.1293597f, -0.5887058f, 1.2396132f,
    -1.4353904f, 1.0201330f,  0.8403119f,  -1.5928830f, 1.5041182f,  0.3909354f,  -0.0552484f,
    1.4409077f,  0.7476847f,  -0.6678851f, 0.8364404f,  -0.1008165f, -0.8664053f, 0.0594809f,
    1.6361673f,  0.2186680f,  -1.9980765f, -0.4174986f, 0.5585656f,  -0.4237489f, 0.3580579f,
    0.2886017f,  -1.3468620f, 0.0504121f,  0.9682270f,  1.2299414f,  -0.9815109f, 1.2768465f,
    1.2728497f,  1.4884705f,  -0.2473642f, 0.4809286f,  -0.1988994f, -0.6525839f, -0.2168961f,
    1.2173214f,  1.4707793f,  -0.8363995f, -1.7343046f, -1.6062525f, 1.6867860f,  0.1607181f,
    0.2365270f,  0.7042742f,  0.4604206f,  1.3465086f,  -1.6407027f, 1.1676158f,  -1.7744002f,
    -1.4107872f, -0.4071583f, -0.2437707f, -0.6733940f, -1.7382705f, -0.2804075f, -1.3653900f,
    1.5241556f,  -0.4499122f, 0.8159777f,  -1.7105469f, 0.1693304f,  -0.4162051f, 0.1126793f,
    -0.0910363f, -2.1555570f, 0.7394550f,  -0.7965115f, -0.8751984f, 1.6759010f,  0.6716344f,
    -0.8915246f, 1.7197758f,  0.0108791f,  0.4636065f,  0.5613217f,  0.5554788f,  -0.3369959f,
    -0.4158476f, 0.0114362f,  0.8493438f,  -1.2451460f, -2.0515474f, -1.5381925f, -1.1865036f,
    0.0492763f,  0.3912927f,  0.5456508f,  -1.2873985f, -0.0286736f, 1.4073706f,  -0.1583939f,
    -0.6055421f, 1.4215086f,  0.4744648f,  0.4729253f,  -0.6605952f, 0.1144239f,  0.8502389f,
    -0.3002115f, 1.4574123f,  -0.9485871f, 1.1973764f,  0.0020559f,  -1.6593337f, -2.1236675f,
    0.6994040f,  0.5050571f,  -1.7004732f, -1.5263147f, 0.4247378f,  -0.0564823f, -1.6960380f,
    0.2552326f,  0.0961522f,  2.0843521f,  0.5687443f,  0.1012336f,  -1.2121561f, 1.2964396f,
    0.4136192f,  -1.6017696f, 0.7403042f,  0.0794310f,  0.0167107f,  -0.3625698f, 0.7633348f,
    -1.6050740f, -0.7065131f, 0.8890037f,  -0.1582331f, 1.8703160f,  -0.2536941f, -0.0799285f,
    2.0423330f,  0.2714882f,  1.9253305f,  -0.0900171f, -0.3555061f, -0.9199272f, 0.0132275f,
    -0.1166145f, 0.0828405f,  -0.2591119f, 1.1840286f,  -0.9203555f, -1.1944685f, 0.0032998f,
    0.7503887f,  -0.0031032f, -1.8110718f, -1.0308115f, -0.0666274f, -1.4827344f, -0.3484512f,
    -0.2532261f, 1.7019105f,  0.0545211f,  -0.6087463f, -0.4817056f, -0.6012136f, -0.5663823f,
    1.0277201f,  -1.3476057f, -0.6942795f, 1.3408371f,  -0.6439408f, -0.0050561f, -0.0084795f,
    -0.2085082f, 0.3202356f,  1.3309111f,  -1.8150245f, 0.9519238f,  -1.3537041f, 1.1863255f,
    -0.1762650f, -1.6006618f, -0.7125280f, 0.2387108f,  -0.1532145f, 2.0724863f,  -1.4971507f,
    0.2964794f,  -0.9241369f, 1.1118281f,  0.7726113f,  0.4172207f,  -0.9267642f, 1.4263017f,
    0.9775371f,  -1.4530261f, 0.1496502f,  -0.9808214f, -0.6889606f, 0.3900464f,  -0.5062112f,
    -1.4432681f, 1.2005794f,  0.4348559f,  1.8421725f,  -0.6714429f, 0.5112305f,  0.0627239f,
    1.1157849f,  -2.1439820f, 1.2868215f,  -1.5695582f, 0.2496218f,  -0.1441081f, 1.6161727f,
    -1.0112689f, -0.9337366f, 0.3236314f,  0.9689196f,  0.1647952f,  -0.4941310f, 0.1421072f,
    -0.0716740f, 2.0433447f,  -0.5850698f, -0.7179072f, 0.1544961f,  -0.0579043f, -0.0089550f,
    0.5487948f,  0.2608787f,  -0.4724266f, -0.1939417f, -0.0019945f, -1.1496221f, -1.2013232f,
    -0.2848358f, 0.3916924f,  -0.3197397f, 1.3891088f,  1.5117900f,  -1.0659285f, 0.3114971f,
    1.1302628f,  0.5782879f,  0.0672181f,  1.0573672f,  1.5500847f,  1.0388818f,  0.2257093f,
    0.4076747f,  1.6310445f,  -0.6286616f, 0.0055780f,  -0.5641728f, -0.2579554f, 0.4712437f,
    -1.4173170f, -0.3641795f, 1.3730557f,  -1.5837439f, 1.3946681f,  0.8626399f,  -0.4034159f,
    -0.0207904f, 1.7413193f,  -0.1564117f, -0.8304812f, 0.0123568f,  0.7760731f,  0.9278298f,
    -1.0413179f, -1.2718406f, -0.9255381f, 0.6188744f,  1.5442930f,  -1.8378395f, 0.5874940f,
    1.6745892f,  -0.4805835f, -1.6128131f, 1.0429956f,  1.0351273f,  -1.5507187f, 0.8389610f,
    -0.1321497f, 0.7798326f,  -2.0256337f, 2.0556319f,  -0.4207092f, -1.0515781f, 0.2429601f,
    0.6360041f,  0.0654150f,  -2.1324005f, -0.1696206f, -1.2884188f, 0.8987784f,  0.6480649f,
    0.0069022f,  -0.2260193f, -0.7296926f, -0.4422064f, -0.2183263f, 0.7755903f,  0.7354119f,
    -0.6114572f, -1.3267915f, -0.0026586f, -0.1007927f, -0.7900304f, -1.4076523f, -0.2540056f,
    0.0077004f,  1.3040126f,  -0.1400718f, 0.5404251f,  -0.8412498f, -0.0005200f, 0.7713765f,
    1.9670963f,  -0.1977840f, 1.4038393f,  1.6328802f,  1.0751571f,  0.3054909f,  0.9823461f,
    -0.5953202f, 1.9654114f,  -0.1366297f, 0.9831070f,  1.2198710f,  -0.2170037f, -0.4597639f,
    0.1387553f,  -1.6086660f, 0.1892536f,  -0.3403867f, 1.8021259f,  -0.1380995f, 0.3064208f,
    0.9373052f,  1.9305498f,  -0.2021800f, 0.8607689f,  0.4532219f,  0.9494961f,  -0.3430608f,
    -0.6914334f, -1.0047294f, 1.6962744f,  0.6018323f,  -1.1718168f, -1.2418819f, -0.3940916f,
    0.0499836f,  -0.1652452f, -1.4559734f, -0.1337856f, 0.7346091f,  0.1738210f,  1.8608823f,
    -1.3768512f, -0.2784271f, -0.3811312f, -0.1117360f, -0.7449324f, 0.0000000f,  -0.6204964f,
    0.3802847f,  0.8017288f,  1.8004706f,  -0.3306081f, 1.3701672f,  -1.5155615f, 0.0309851f,
    -1.9708004f, -0.1434582f, 0.0642907f,  2.0702120f,  -0.3942138f, -0.1302680f, 1.9215327f,
    -0.9478589f, 0.1849647f,  -0.0274558f, -0.1151472f, 1.7166868f,  1.0982287f,  -1.6882157f,
    -2.0740225f, -1.5899172f, 0.6409837f,  -1.3667540f, 1.3821409f,  -1.4634455f, 1.5485798f,
    1.1258046f,  0.1446581f,  0.4087908f,  1.3287211f,  -0.9989610f, -0.0279038f, 0.5799898f,
    -0.0533615f, 1.2888296f,  -0.1792319f, 0.0036181f,  -0.0781127f, -1.4318040f, 0.1859009f,
    0.0589353f,  -0.3196485f, 0.7386129f,  0.4385816f,  1.5337551f,  0.9950573f,  0.0013124f,
    -0.3468676f, 0.0770310f,  -0.9185259f, -0.4303168f, -1.6522660f, -0.6195685f, -2.0667462f,
    -1.3469478f, -0.2934881f, -1.1937835f, -0.1930734f, -0.6077617f, -0.0729060f, 0.0153759f,
    -1.9973994f, 1.2268125f,  1.6726692f,  -0.3747279f, 1.1991399f,  0.8479312f,  -1.7607707f,
    -0.7097665f, -0.8217546f, -1.5629262f, 1.0248098f,  -1.0319124f, 0.9843292f,  0.4753992f,
    0.2646674f,  0.3107475f,  -1.2065310f, 0.2193614f,  -0.1195444f, -1.7917085f, 2.0586691f,
    1.8165159f,  0.5767084f,  -1.0583317f, 0.0893154f,  0.2794807f,  -1.8513653f, -1.3391960f,
    1.3594648f,  0.2754983f,  -1.2325531f, -0.2564459f, 1.5376396f,  1.2145377f,  1.1679235f,
    1.8228508f,  -1.0614161f, 1.8736215f,  0.0111662f,  -1.3633415f, 1.9598204f,  -0.4217011f,
    -0.9058775f, -1.0428850f, 0.4014099f,  -0.3319184f, -0.3186508f, -1.3258070f, -0.0076710f,
    1.8794921f,  -0.0117372f, 0.3611190f,  1.7491435f,  -0.0247307f, -0.0866593f, -0.9753202f,
    -0.0127358f, -0.4080291f, 0.2059627f,  -1.5547452f, 1.2614469f,  0.4529949f,  -0.6492222f,
    0.0240980f,  -0.0002931f, 1.0641211f,  -1.4845971f, -0.5706079f, 0.6040096f,  0.6426043f,
    0.4573390f,  -0.2460849f, -0.0406215f, -1.0689013f, -1.5779509f, -1.9782550f, -0.4280624f,
    1.1433621f,  -0.3549474f, 1.4064576f,  1.0029061f,  1.8482203f,  0.0809041f,  1.9354823f,
    0.8852373f,  0.3745183f,  -0.4578973f, -0.8278436f, -0.8467894f, -0.3565912f, 0.1649797f,
    0.1496093f,  1.8328381f,  0.8164415f,  -0.7871565f, 1.7233545f,  -0.7075702f, 1.4251536f,
    1.3227083f,  -1.5771914f, 0.7052676f,  -0.6398790f, -1.1121129f, 0.1793790f,  0.1037411f,
    -0.0482354f, 0.0023806f,  -1.2004001f, -1.4437920f, 1.1490361f,  0.3650112f,  0.5509335f,
    0.1232876f,  -0.3738953f, -0.8800944f, -0.6973520f, 1.7697186f,  1.1785541f,  0.0192388f,
    -0.4948671f, -0.2242092f, -1.3468877f, 0.3701148f,  0.6815999f,  -1.7590132f, 1.0395990f,
    0.5747704f,  0.3391654f,  0.4251340f,  -0.0249641f, -0.0522180f, -0.9219656f, -1.7089701f,
    -0.1696850f, 0.0317010f,  0.1420579f,  -1.1304501f, -2.0864401f, 0.9808021f,  -0.5815716f,
    -0.6766631f, 0.3993740f,  0.0152458f,  0.3283287f,  -0.1381830f, -1.0640043f, 1.5731652f,
    -0.5925432f, -0.4187429f, -1.8458764f, -0.7589805f, -0.6590615f, 0.3805713f,  -1.5446258f,
    0.0142863f,  0.1184738f,  0.4232911f,  -0.8005272f, -1.1023663f, -0.0199218f, 0.4363555f,
    -2.0305227f, -0.5339631f, 1.3435748f,  0.3845078f,  0.6493847f,  -0.0652010f, 0.5804579f,
    1.5272718f,  -1.7751340f, 0.4178535f,  -0.3752005f, -0.1849384f, 0.6631373f,  -0.7815937f,
    -1.6665784f, -0.1375598f, 0.0767769f,  -0.0248874f, 1.0649315f,  0.3201345f,  1.3890409f,
    0.3300500f,  1.3305609f,  -0.1410505f, -0.0021722f, -0.7780536f, -1.4193009f, -0.3974475f,
    -0.6801282f, -1.1454777f, 2.0299794f,  -0.4447854f, 2.1057221f,  0.2785066f,  0.6823982f,
    -0.9928052f, -0.8495265f, 0.9778632f,  0.3817154f,  0.0016700f,  -0.0173314f, -0.5876175f,
    -0.3972573f, 0.0388515f,  -1.9263601f, 0.4141246f,  0.9725281f,  1.6676863f,  -1.2760170f,
    0.0000193f,  -2.0588026f, 1.2558324f,  -1.3545404f, 0.4855916f,  0.2912704f,  0.2625946f,
    0.0071238f,  1.8541639f,  0.1293317f,  0.1695054f,  0.8105393f,  0.4460462f,  0.4162874f,
    -1.4735177f, 0.0878339f,  1.6154082f,  0.1480426f,  1.2277294f,  -0.2979453f, 0.3621091f,
    -0.5384704f, -0.0698716f, 0.4765912f,  0.7958492f,  -1.9981065f, 0.1545672f,  0.2015479f,
    -0.1866680f, -0.4740895f, 0.4585590f,  -1.1438533f, -0.4300565f, -0.8160396f, 0.0272334f,
    -0.7080634f, 0.1286658f,  0.0307253f,  -0.0818538f, 0.2145008f,  1.3427040f,  1.9566306f,
    1.6342042f,  -1.6495370f, 0.4604700f,  -0.0497661f, -0.2706033f, 1.1982205f,  0.7385463f,
    2.3268138f,  -0.1345301f, -0.3481637f, 0.4157573f,  1.4790563f,  -0.0681440f, -1.9339956f,
    0.4501249f,  0.8501956f,  0.4327311f,  0.1619474f,  -1.9851477f, -1.1835821f, -1.8249836f,
    -0.0108381f, -0.9049295f, -0.4875995f, 1.0302539f,  2.2172506f,  0.0219131f,  0.8367690f,
    -0.1532621f, -0.4130943f, -1.1647698f, 1.0956510f,  0.3970771f,  -0.4472788f, -0.4710479f,
    -0.7225482f, -0.6778439f, 0.1734986f,  0.0170728f,  -2.1214905f, 0.2312461f,  -1.2672185f,
    0.7636736f,  0.1609745f,  -0.0217819f, -1.3679457f, 0.0251693f,  0.0002614f,  -0.2309295f,
    0.2811037f,  0.3280269f,  -1.9875017f, -0.0114047f, -0.1817427f, 0.1205730f,  -0.5728370f,
    0.4692079f,  -0.0000079f, 1.4505575f,  2.1671358f,  -1.6555129f, -1.5112282f, 1.0671265f,
    0.1965712f,  -1.0938366f, 0.3843462f,  0.0244478f,  0.9293121f,  -1.4058223f, 1.9683089f,
    -1.0844556f, -0.0022764f, -0.9912221f, -0.3735678f, -0.6692977f, -0.2232651f, -0.3705344f,
    -0.1766369f, -0.2827626f, 1.9273838f,  -0.0632062f, -1.8548920f, -0.0223630f, -0.2213706f,
    -0.8032859f, -0.2491093f, -2.2626423f, -0.0161880f, -1.0421658f, 0.0909918f,  -0.0031176f,
    -0.9062232f, -0.0884652f, -1.3146836f, -0.0484149f, -0.1682782f, 0.0367923f,  -0.1820713f,
    0.8312783f,  -0.1499130f, -0.9987968f, 0.8696655f,  0.3790430f,  1.2883167f,  0.5742152f,
    -1.1129306f, -1.0877404f, -1.0546026f, -1.6542626f, 1.1045820f,  0.0003938f,  -0.2416225f,
    0.4121276f,  -1.9448164f, 0.9241275f,  1.3712086f,  1.5132611f,  -0.1276894f, 0.4320486f,
    0.7873887f,  0.0006951f,  -0.4444020f, 0.0189769f,  0.0232632f,  0.7680229f,  0.0028078f,
    0.0021539f,  2.1606405f,  -1.0005727f, 1.4588947f,  -1.9867281f, 0.1346720f,  0.5253528f,
    0.0375835f,  0.1013210f,  0.6860679f,  0.0000015f,  2.0406490f,  -0.0553000f, 0.9912068f,
    0.6188115f,  -0.9556234f, -0.0878339f, -0.0183978f, -0.3930273f, -0.2949937f, 0.8690221f,
    -0.2505694f, -1.4135147f, 0.3337818f,  -1.3062623f, -0.1099665f, -0.4437378f, 0.7306104f,
    0.4952310f,  1.4308884f,  1.8107722f,  -0.0181919f, -0.1308623f, -0.1607129f, 0.3773712f,
    -0.0298479f, -0.0053401f, 0.0178254f,  0.4907468f,  0.4680467f,  -1.2081731f, -0.2697940f,
    -0.0109165f, 0.3475332f,  -1.2597763f, 1.1952180f,  -1.1642549f, 0.3304180f,  -2.1781948f,
    0.2014921f,  0.0132730f,  -0.0049917f, 2.1115060f,  0.3869570f,  2.0592539f,  0.9611688f,
    2.1500323f,  -2.1142060f, -0.5743386f, -2.1248393f, 0.7551448f,  -0.0949286f, 0.6455351f,
    -0.4794826f, 0.0014160f,  1.2952060f,  1.4859839f,  -1.8778682f, -0.2556691f, 0.0748425f,
    1.6278649f,  -1.5118051f, 1.0248698f,  -0.0319285f, -0.6499982f, -0.0105395f, -0.0049832f,
    -0.5242337f, 0.7729318f,  0.0226543f,  -0.0238168f, -0.0932519f, -1.0863039f, -0.1965153f,
    -1.5057133f, 0.1219843f,  -0.9083215f, 0.2020959f,  -0.0101965f, 0.5202060f,  -0.4988452f,
    1.4767537f,  1.2316980f,  -1.2705708f, -2.2945733f, -0.5357198f, -0.3065044f, -0.6686594f,
    -0.0642247f, 0.4446521f,  0.4123954f,  -0.0100885f, -1.1016372f, 0.1837821f,  -0.7586813f,
    -0.4881965f, -1.9590266f, 1.0216021f,  2.1230853f,  2.0753394f,  -0.0344629f, -0.1359763f,
    0.6680604f,  -0.8279081f, -0.0340979f, 0.1448800f,  -2.3062369f, -1.9256861f, -1.5708261f,
    -1.7764268f, -1.1672159f, -0.4195489f, 1.7412157f,  2.1449912f,  -0.0848853f, -0.0133434f,
    -0.2457730f, 1.3195206f,  1.9226153f,  0.8416950f,  0.0182265f,  -0.0002696f, 0.3046037f,
    0.0628951f,  -0.0350664f, 0.1528632f,  -1.2779670f, -0.0551916f, 1.6214263f,  -0.9230379f,
    0.5663284f,  0.7301847f,  -0.1960687f, 0.1609243f,  -0.7461991f, 1.0493483f,  0.0000114f,
    0.0015840f,  0.1190609f,  1.4327515f,  0.0066848f,  1.3999422f,  -0.1954823f, 1.9844499f,
    -1.8732769f, -0.5271573f, -0.0000002f, 1.3836281f,  -0.1561432f, -1.0919047f, 0.0934460f,
    0.2626180f,  0.0146033f,  -0.0083719f, 1.0641356f,  0.3521850f,  -0.2451082f, 0.3063355f,
    2.1655714f,  -0.0235925f, -1.0942169f, -0.0098009f, -1.8157850f, 0.2080305f,  -1.4774169f,
    -0.0679380f, -0.5864982f, 0.3196129f,  0.0042311f,  1.4179684f,  -0.4725314f, -1.6565363f,
    1.7798863f,  -0.0297432f, -0.1702443f, 0.3960561f,  -0.0916140f, 0.2945253f,  -0.7278739f,
    1.9336731f,  -2.1982765f, 1.4342269f,  -1.8069493f, -0.0010016f, 0.0308831f,  0.0636504f,
    1.4257410f,  0.4379063f,  1.4900698f,  0.6630091f,  1.4197245f,  -0.0017324f, -0.3512172f,
    1.5262227f,  -0.0705187f, 0.0000000f,  -0.0000000f, -0.2374830f, 0.0502416f,  1.0015161f,
    -0.0410687f, 1.8128991f,  0.4159024f,  0.5546574f,  0.9265243f,  -0.0625377f, 1.4425514f,
    1.3978553f,  1.6362455f,  -0.0186055f, 0.2395857f,  0.1012443f,  0.7608818f,  -1.8962827f,
    0.0100281f,  -0.5760840f, -0.2157228f, -1.4029863f, 1.3999355f,  1.2667649f,  0.0305933f,
    -0.0329562f, 1.6195014f,  1.1696682f,  -0.4353676f, 0.2270379f,  0.0104056f,  2.0669562f,
    -0.3146813f, 0.0492127f,  -1.6011578f, -0.0608026f, 0.0085657f,  -1.5893516f, -0.0128181f,
    0.0000174f,  0.4311087f,  0.3730571f,  0.1524483f,  -1.4054963f, -0.1544480f, -1.7035011f,
    0.0342496f,  -1.6385233f, 0.3982641f,  0.0000284f,  -0.5101295f, -0.4415130f, 1.9175366f,
    -2.0299147f, 0.5594349f,  0.0625085f,  -1.1392211f, -0.4690829f, 0.0227066f,  1.7726418f,
    2.1541241f,  -2.2606425f, 0.7295615f,  -0.0000133f, -0.0781445f, 0.0122629f,  0.6779975f,
    -1.0728066f, -0.5247177f, 0.4882052f,  -0.2818965f, -0.2170164f, -0.1228587f, -1.5946428f,
    -0.0183059f, 0.1091327f,  0.0630114f,  0.0206888f,  -2.3177317f, 0.0170328f,  -1.7818850f,
    -0.0197982f, 0.0398451f,  1.0293582f,  -0.1017884f, 0.9977175f,  0.9871806f,  0.2025873f,
    -0.0163918f, -0.6323685f, -0.9344467f, -0.2790405f, 0.2871030f,  -0.8640166f, -0.2018715f,
    -1.0066411f, -0.3747092f, -0.1582395f, 1.3059297f,  -0.8768820f, 0.2246325f,  -1.7497140f,
    -0.0001459f, 0.8218997f,  -0.9111143f, -2.2269361f, 2.0879884f,  -0.0236962f, -0.7838423f,
    0.0003296f,  -0.2939478f, -0.7499824f, 0.0001589f,  0.7198992f,  -0.0136648f, 0.0141709f,
    0.4840023f,  0.0003567f,  0.0238230f,  1.5665756f,  1.5907111f,  -1.2361950f, 2.3153398f,
    -0.4829262f, -0.2564679f, -0.2360939f, -0.0730613f, 1.1760275f,  0.0000004f,  0.9152139f,
    1.1386989f,  -0.1501560f, -0.2272094f, -0.3948186f, -0.0056420f, -0.0098456f, 0.4898449f,
    0.5552742f,  0.8841265f,  0.2642970f,  0.7020732f,  0.0814176f,  -0.2659460f, 0.0999344f,
    -0.7565383f, 0.6837920f,  1.9926746f,  0.7297620f,  -2.2683800f, -0.0239833f, 0.0869030f,
    -0.5432427f, 0.4669766f,  0.0309630f,  0.0084574f,  -0.0077836f, -0.5068536f, -0.3791261f,
    -2.2519038f, -0.2663569f, 0.0818818f,  0.4654443f,  -1.2852710f, -1.3622376f, -2.1314227f,
    0.0610573f,  0.1589381f,  0.1163780f,  0.0041719f,  -0.0012719f, 1.6271271f,  0.3417888f,
    0.1737225f,  -1.1622583f, 2.0849173f,  -0.5182038f, -1.7344220f, 0.4188863f,  0.0624955f,
    -0.0542843f, 0.6677611f,  0.2282121f,  -0.0000870f, 0.6552274f,  -0.9744681f, 1.9525283f,
    -1.2771968f, -0.0545150f, -1.7401195f, 0.0867281f,  2.2324442f,  0.1155940f,  -0.8055274f,
    -0.0034740f, 0.0008199f,  0.4402650f,  -0.6461611f, -0.0021204f, -0.0130627f, -0.0482228f,
    1.8557898f,  -0.2218637f, 1.7963832f,  -0.0307064f, -0.3516309f, 1.7014567f,  -0.0031478f,
    0.8306007f,  1.8797801f,  0.0937634f,  1.9976537f,  0.5244562f,  -1.3130083f, 0.6722797f,
    -0.0761683f, 1.9622412f,  1.3396926f,  -0.4338783f, -2.0911485f, -0.0054991f, 0.7565611f,
    0.1994771f,  -0.1123841f, -2.0393294f, 0.0387767f,  -1.0027175f, 2.2428302f,  0.4057105f,
    -0.1569683f, 0.0838102f,  1.7910334f,  -0.6668200f, -0.4205195f, -0.9598505f, -0.1071123f,
    -1.7517013f, 0.6515276f,  -2.3406374f, 1.0403171f,  -0.5167496f, -2.0557699f, 0.3688737f,
    -0.1174434f, 0.1849758f,  0.0834765f,  -1.5687627f, 2.3413065f,  1.0148114f,  0.0017815f,
    0.0002252f,  -0.0101936f, -0.0572600f, 0.1704387f,  -0.0899050f, -1.2554452f, 0.0639997f,
    1.4238543f,  -1.2229160f, 0.5159612f,  -0.2260570f, -0.1607404f, 1.1525691f,  0.3092221f,
    -0.8283236f, 0.0000017f,  -0.0004433f, 0.0838662f,  2.0985430f,  0.0023235f,  1.6650912f,
    0.1293987f,  -0.6320847f, -0.5589721f, -1.1689061f, 0.0000000f,  0.3834327f,  0.2290517f,
    0.2876367f,  -0.0388795f, -1.1336771f, 0.0937954f,  -0.0078266f, -0.8155607f, -0.7908134f,
    -0.1054854f, 1.7792363f,  -2.2106236f, 0.3867668f,  -1.2855718f, 0.0013606f,  -1.4099496f,
    -1.6229185f, 1.5392664f,  -0.0188585f, 0.4217400f,  0.0372733f,  -0.0024067f, 0.5774053f,
    0.0818048f,  -0.0427004f, 2.0933976f,  0.0156300f,  -0.4447053f, -0.1394408f, -0.0456239f,
    -1.5442969f, -0.5512419f, -2.0717143f, 2.4125085f,  -1.9922036f, -1.4746133f, 0.0003211f,
    0.0068804f,  0.0088074f,  -1.5211093f, 1.1141890f,  -0.7659093f, 0.4029857f,  -2.0912819f,
    0.0013682f,  -1.7533699f, 1.5964463f,  1.0945942f,  0.0000000f,  -0.0000000f, 0.0177893f,
    -0.4388649f, 0.2785659f,  -0.1586111f, -0.5566819f, -0.7421190f, 0.7440556f,  -1.9090101f,
    0.3262856f,  -0.4423588f, -1.3156812f, -0.2398056f, -0.1251989f, -0.4612401f, -0.3751698f,
    -0.5502793f, -0.1102516f, -0.0382805f, -0.4049423f, 0.7695158f,  -1.9709572f, 1.3476181f,
    -1.5938639f, 0.6615885f,  -0.0918645f, -1.6483474f, 1.8138682f,  0.3195436f,  0.7597912f,
    0.0708873f,  -0.0097272f, -0.9380444f, 1.1394564f,  -1.3042595f, -0.0152196f, 0.0020836f,
    1.2659735f,  0.0754173f,  -0.0001823f, -1.4706374f, 2.0328051f,  0.5501610f,  0.3281338f,
    -0.6712134f, 2.0501183f,  -0.0349711f, 1.7465282f,  0.6209273f,  -0.0006647f, 0.8130168f,
    0.0528477f,  0.8640025f,  -0.4736158f, -0.0017868f, 0.0499475f,  -1.1140611f, 1.4951829f,
    -0.1382148f, -1.6938066f, 0.2360401f,  0.3577385f,  0.8811950f,  0.0047447f,  -0.1436623f,
    -0.0367574f, -1.4388732f, 2.1153801f,  1.3002360f,  -1.3607566f, -1.5785403f, -0.6092525f,
    -0.6155922f, -0.5200530f, 0.7652791f,  -1.3902271f, -1.8381874f, -0.4646392f, 0.0826083f,
    0.2523385f,  -1.5864946f, -0.3014874f, -0.2486689f, 1.7814588f,  2.1615716f,  -1.2047411f,
    2.0637175f,  0.6724963f,  -0.0099027f, -1.7559739f, 1.8267986f,  1.7077231f,  0.4990034f,
    -1.8103997f, 0.5779996f,  1.1299838f,  -0.8758733f, -0.8225947f, -1.2363440f, 1.3091486f,
    -0.8203567f, -1.6027142f, -0.0021636f, -1.9784602f, -1.9186878f, -0.3665567f, -0.9705892f,
    -1.0553305f, -1.1393820f, -0.2157740f, -0.1018655f, 0.9523636f,  -0.0012630f, -1.5568633f,
    0.1275740f,  0.1980157f,  0.9688311f,  0.0011944f,  0.1665308f,  -0.1563187f, 0.3043720f,
    -0.3172153f, -0.1238142f, -2.0362983f, 2.0253959f,  -0.8902894f, 0.4067507f,  1.9153287f,
    0.0000385f,  -0.2363015f, 1.9656592f,  -1.0670044f, -1.2841878f, 1.5136873f,  0.0267898f,
    0.2012528f,  0.0460735f,  1.4045032f,  -1.3024760f, 1.8920958f,  1.1889883f,  0.2524083f,
    -0.7570863f, -1.1601162f, -1.5677226f, 0.8834519f,  -0.6444334f, 0.8829455f,  -0.5925845f,
    -0.3145452f, 0.2284948f,  -1.4683538f, -0.9536163f, 0.1825286f,  -0.0837187f, -0.0329935f,
    -1.6739263f, -0.4202101f, -0.7649545f, 1.5299162f,  -0.6457120f, -2.1092436f, 0.9586330f,
    1.5000206f,  0.9819386f,  -1.0538245f, 0.0740504f,  -0.0684207f, 0.0122232f,  -0.0044854f,
    0.0352994f,  -0.8796428f, -0.1111319f, -1.2367947f, -0.0166869f, -0.3284790f, -1.4030077f,
    -0.2600295f, -1.0208356f, 0.7912333f,  1.5826778f,  -0.0481252f, -0.0010739f, -1.3713495f,
    1.0676984f,  0.6768854f,  -2.1367827f, -0.4423382f, 0.9452880f,  0.9713406f,  0.9021092f,
    -0.5249935f, 0.4766420f,  0.0018066f,  0.0076852f,  0.5181197f,  1.2256473f,  -0.1482780f,
    0.1301921f,  -0.0043110f, 1.4884001f,  -2.1458413f, -0.9765065f, 0.1318427f,  -1.5367055f,
    -1.9182311f, -0.0063839f, -0.5281338f, -1.1619120f, 0.9732070f,  1.3773870f,  1.4372475f,
    0.0225380f,  1.2653402f,  0.1905650f,  0.7723699f,  0.5439469f,  0.8119846f,  0.0938897f,
    0.0353559f,  -1.6082162f, -0.6844867f, 0.6525992f,  0.1537730f,  0.4728701f,  1.0066908f,
    -0.2913922f, 0.2391221f,  0.6614963f,  -0.1937875f, 0.9941813f,  0.0020013f,  1.6942884f,
    2.1607233f,  0.0177135f,  0.2084340f,  0.4609468f,  0.4730671f,  0.1825464f,  -1.1179502f,
    0.1332699f,  -0.0576584f, 0.6293078f,  -1.0388999f, -0.6022076f, -1.3735349f, 0.2119096f,
    1.4356016f,  -0.0125294f, -0.0040629f, 1.1855920f,  1.1773861f,  0.7031775f,  0.1817196f,
    -0.6900535f, -2.1485779f, 0.2444309f,  1.5279461f,  1.6771611f,  -1.2996935f, -0.7058451f,
    -2.1051161f, 1.6913033f,  0.3113315f,  0.0002334f,  0.0037744f,  -0.3464260f, -0.4686326f,
    0.0087121f,  -1.2242024f, -0.1512678f, 0.4295951f,  0.4513184f,  -1.9446203f, -0.0000004f,
    -0.5175332f, 1.5964736f,  -0.5795954f, -0.1774999f, 0.4380443f,  0.4594852f,  -0.0773815f,
    -1.2366436f, 1.9463285f,  0.4470525f,  1.9898078f,  -0.1529913f, 1.2836939f,  -1.5128214f,
    -0.0110052f, 0.3955409f,  -0.1979481f, -0.8800098f, 0.0103004f,  0.1468824f,  -0.6002559f,
    0.0210503f,  1.1647199f,  -1.3897161f, -0.0470150f, 0.1477803f,  -0.0873260f, 1.4686132f,
    0.9507499f,  0.0961447f,  1.4574667f,  0.1387042f,  0.5458238f,  -0.0185236f, 0.7998363f,
    -0.5700825f, -0.0088499f, -0.1026937f, 0.2552804f,  -1.0683638f, 2.0557477f,  0.1065962f,
    -0.8816191f, -0.5455207f, 0.0168128f,  1.7095766f,  0.8553378f,  -2.1012263f, -0.0000000f,
    -0.0000000f, 1.7976208f,  -1.6787630f, -0.4983071f, 0.6055094f,  0.2628234f,  -0.3120490f,
    -2.0438895f, 0.5439796f,  1.4463782f,  1.4787154f,  -0.1075285f, 0.0154960f,  -0.4698263f,
    0.4052403f,  -1.6319690f, -1.8516248f, -1.7337174f, -0.2959716f, 0.9061684f,  -0.4388923f,
    -0.0422569f, -0.0932380f, 0.0165369f,  1.8734371f,  -0.1350413f, -0.2787115f, 0.9689771f,
    0.9753221f,  0.3597344f,  0.2759266f,  0.9479381f,  -0.3756458f, 0.8776120f,  1.0713325f,
    0.7444087f,  -0.3339842f, -0.3363133f, 0.2992288f,  -0.0086153f, 2.1850248f,  1.1893132f,
    -1.9589132f, -1.6328828f, -1.5226219f, -0.2083831f, -0.7225000f, 0.1553187f,  -1.6186866f,
    0.0086698f,  -1.2899431f, -1.4226756f, 0.7250624f,  1.0421006f,  -1.0959011f, -0.9436962f,
    0.2759862f,  -0.1343608f, 0.1354391f,  -0.0854779f, -1.1807980f, -0.3258146f, -1.6478142f,
    -0.0639296f, -0.1175313f, 0.0590575f,  -1.0802503f, -1.3630284f, -1.5736650f, 1.8634950f,
    0.6201841f,  -0.8579930f, -0.6208501f, -0.1269208f, 0.1105918f,  1.7243948f,  -0.8269214f,
    1.6124377f,  -1.4610543f, 0.6244879f,  0.1902988f,  1.1190470f,  0.8291728f,  -0.2580954f,
    0.0389979f,  0.3397625f,  1.6384738f,  0.2743056f,  0.4769765f,  -2.0725209f, 0.3671637f,
    -1.4903324f, -1.4191025f, -0.6207243f, -0.8701658f, 1.0249519f,  -1.0096229f, 1.3215359f,
    0.4249679f,  -0.6895484f, -0.0596482f, -0.0132648f, -0.0045769f, 0.0053770f,  -0.5697215f,
    -1.1809947f, -0.3918288f, 0.6724537f,  -0.5641299f, -1.0797795f, 1.9862843f,  1.5055308f,
    -0.0218404f, 0.4265033f,  -0.5789506f, -0.2147808f, 0.8921393f,  -0.0510989f, 0.6263265f,
    0.6096006f,  -1.7491983f, 1.0159337f,  0.3394777f,  -1.1533006f, -0.8566463f, -1.7298778f,
    0.6556727f,  0.3293516f,  0.0006519f,  0.5323520f,  -0.0433605f, 1.0788562f,  1.9831923f,
    1.2813514f,  -0.0723660f, -0.5764471f, 0.2420379f,  1.7218335f,  -1.1427124f, -0.3798866f,
    -0.7088997f, 0.4213358f,  -1.3440809f, -0.3837063f, 0.5716188f,  -0.4360518f, -1.6256819f,
    0.2616288f,  -0.1808188f, -0.7101027f, -0.9372146f, -1.9133307f, 0.1973456f,  0.1856811f,
    0.1790875f,  0.0742571f,  0.7895725f,  1.7528868f,  0.2638123f,  0.6263668f,  0.9808868f,
    0.7731862f,  0.9375807f,  -0.2339705f, 0.9544628f,  -1.9620788f, -0.0579088f, -1.4518448f,
    -0.1021075f, 0.0501283f,  1.7853674f,  -1.3000081f, -0.0435882f, -0.3944807f, 1.0542290f,
    -1.1268122f, 0.9931536f,  1.2960802f,  1.8395676f,  -1.3952926f, -0.9302039f, -1.1780846f,
    -0.0077829f, -0.3685148f, 0.3225287f,  0.2294330f,  -0.8710071f, 0.4832111f,  -0.0165365f,
    -0.3398403f, -1.0983482f, 1.2751470f,  -0.3866150f, 0.2005920f,  0.0420411f,  -1.7497071f,
    -1.0244775f, -0.5412982f, -0.6035402f, 0.9067606f,  -0.3580330f, 0.1318730f,  -0.6553907f,
    -0.3185486f, 1.3540040f,  -0.1697951f, 0.2027445f,  -1.2249568f, -1.2711841f, -0.4483387f,
    -0.0544290f, -0.0138299f, -1.0197100f, 0.0908268f,  1.3235840f,  -0.5941435f, -1.0232893f,
    0.2244257f,  1.7594110f,  -0.0044457f, 0.2025225f,  1.2561067f,  1.7241900f,  1.7617956f,
    1.2591436f,  0.3732632f,  1.0781296f,  -0.1171883f, -1.4704399f, -0.3347155f, -1.4061968f,
    2.0268096f,  -1.2042907f, -0.5254249f, 0.0510174f,  -0.3376155f, 1.5598648f,  -0.1389427f,
    -1.5701722f, -0.1340028f, -1.1131180f, 1.4438646f,  -1.6217888f, 1.1356911f,  -1.7971311f,
    0.1422744f,  0.2701121f,  0.2771836f,  0.0511524f,  0.0389968f,  1.9002564f,  0.2196801f,
    1.5238411f,  0.4169359f,  1.1205924f,  -0.0188942f, -0.5973531f, -0.0096555f, 1.8603960f,
    -1.8526348f, 0.9061053f,  1.3825752f,  -0.3242360f, 1.8401201f,  -0.0005627f, 0.0400575f,
    -0.7912177f, -1.0967767f, -0.1281659f, -0.0414127f, -1.2848569f, -0.5711364f, 0.0622960f,
    -1.1676838f, -0.0000121f, 0.2221346f,  1.5532078f,  -1.3255736f, -0.4566749f, 1.1359455f,
    1.2013084f,  -0.3891120f, -0.6788069f, -1.7493187f, 1.7559265f,  0.0715576f,  -1.1218399f,
    2.0633141f,  -0.1883364f, 0.0518416f,  -0.0291883f, 0.9380298f,  -0.5138333f, 0.4800403f,
    -2.1190607f, 1.8006801f,  -0.0235187f, 0.7580040f,  -1.9368649f, -0.0095593f, 1.1390321f,
    -0.3367986f, -2.1766508f, -2.0611417f, 0.3461062f,  0.4838568f,  2.1150940f,  -0.6157818f,
    1.4942143f,  0.9044345f,  -0.1913532f, -0.0221783f, 0.5574634f,  -0.9339295f, 0.4229115f,
    0.4454815f,  0.6143551f,  0.9276847f,  1.0719037f,  0.0424986f,  0.5724820f,  -0.4077261f,
    1.4812256f,  -0.0000000f, -0.0000000f, -1.2992344f, -1.9353054f, 1.1265339f,  1.6577139f,
    -1.4202588f, 1.3008344f,  0.1490153f,  -0.1723201f, 0.5891405f,  0.3476338f,  -0.9226841f,
    0.9019453f,  -1.0501695f, -0.0569650f, -1.7583542f, 0.0317570f,  0.1956599f,  0.9684184f,
    0.5694508f,  -1.2603365f, -0.7380771f, 0.9100551f,  -1.5891431f, 1.8638145f,  -0.0955826f,
    -0.7377175f, -0.4908100f, -1.0846207f, -1.3138083f, 0.6558726f,  -0.9045131f, 1.1898766f,
    -1.2128472f, 1.3606498f,  2.1250412f,  -0.6907118f, 1.5255140f,  -1.2299773f, -0.1051563f,
    -1.0706582f, 0.0830990f,  0.5804259f,  -0.2360867f, -1.8232942f, -1.2736472f, -2.0664898f,
    0.8151521f,  -1.3644712f, -0.0692405f, -0.1333154f, -0.1695057f, 1.2500239f,  0.3538771f,
    -0.0536724f, 2.2176214f,  -0.5636642f, 1.5670793f,  0.9467772f,  1.0151412f,  -0.1810510f,
    0.6502490f,  -0.1634417f, 0.3932050f,  -0.0081221f, -0.0482833f, 0.1389447f,  -0.7106850f,
    0.6854474f,  -1.0137919f, 0.8418281f,  1.5073214f,  1.0690769f,  -1.5311258f, -2.2708034f,
    0.1411539f,  0.0275564f,  -2.2455302f, 0.5616595f,  -0.3780700f, 0.9729035f,  -0.2713989f,
    -1.5746815f, 1.4133898f,  1.3289107f,  0.4889076f,  -0.2988493f, -1.3981403f, 0.9053763f,
    -0.5080168f, 1.2621043f,  -0.1508311f, 0.0535856f,  1.4137850f,  0.6308693f,  -1.4572248f,
    -0.4185452f, 0.4953272f,  -1.4386614f, -0.3189980f, 1.6893214f,  -1.0971383f, 0.1166995f,
    -0.3966958f, -0.1610038f, -0.6548775f, -0.6411706f, 1.3790056f,  0.3344806f,  -2.2184748f,
    -1.0753929f, -0.3513585f, 0.1574853f,  0.3294582f,  1.4489153f,  -1.7681798f, 0.1569282f,
    0.3954311f,  1.3622921f,  -1.2757287f, -0.3671270f, 0.6082960f,  -0.2234341f, -0.0713379f,
    0.1068890f,  -1.6838898f, -2.1113902f, -1.4987185f, -0.0036849f, 1.5939305f,  0.5600930f,
    -0.0435234f, -0.0848226f, -0.1385953f, 0.1165781f,  -0.2631458f, 0.0542993f,  0.7483880f,
    -0.2172929f, -0.0873887f, -1.6272207f, 0.3638435f,  0.0599091f,  1.8349514f,  -0.2988742f,
    -0.5511427f, 0.6657173f,  -0.3428565f, -0.8701068f, 0.4301344f,  -1.8144027f, -0.9119497f,
    -1.0804236f, -1.0097041f, 0.5272840f,  0.9071639f,  0.1720390f,  1.3474885f,  -0.6214929f,
    -0.9664284f, 0.6496429f,  -0.1974516f, 0.8018979f,  -0.7302084f, -0.7276841f, -0.1175056f,
    -0.0482992f, -1.2153802f, -0.8224375f, 0.5016588f,  -0.0353746f, 1.5117831f,  0.0677095f,
    -1.4162575f, 0.8492405f,  1.1104567f,  1.3691834f,  0.8084186f,  -0.4651606f, -0.2843136f,
    0.0463413f,  1.7575139f,  -0.0358509f, 0.3185304f,  -0.4871621f, 1.3365322f,  1.1271387f,
    2.1795459f,  1.4032929f,  -1.5869206f, -0.6925973f, -1.6990539f, 0.5661533f,  0.4568307f,
    0.1447756f,  -1.2203230f, 0.0643183f,  0.0695248f,  1.5143792f,  -1.1613840f, -0.9591375f,
    -1.0394803f, 0.6704791f,  0.4486921f,  0.1125350f,  1.4600002f,  -0.3988280f, -0.1104444f,
    1.1526427f,  -1.5267533f, 1.1121042f,  -0.2490211f, -0.6637014f, -0.5691683f, 2.1969366f,
    0.4353607f,  0.1840727f,  -1.2349527f, -0.0965692f, -0.6636659f, 1.6158057f,  -1.2017132f,
    0.7662895f,  -0.1609075f, -1.0878422f, 0.3054835f,  -0.9442499f, -0.1493864f, 1.7389381f,
    1.8575236f,  -1.0479001f, -0.4355131f, -0.2824509f, 0.4403153f,  -0.0123041f, -0.9193086f,
    -0.1005355f, 0.6484037f,  0.2405893f,  0.9151387f,  0.2050131f,  0.1738726f,  2.1086350f,
    0.6722814f,  -0.3945992f, 0.8043389f,  0.3467734f,  1.5592341f,  -0.1298969f, -0.2220395f,
    0.0167025f,  -1.8522417f, 1.7393628f,  -1.9276505f, -0.6465330f, -1.4393660f, -0.7874921f,
    0.5596238f,  -0.0298141f, -0.1887581f, 2.0486567f,  0.5021262f,  0.1361995f,  -0.0211285f,
    -0.0472958f, -0.2744557f, 2.0158021f,  0.3539183f,  -0.4990282f, -1.2464438f, 1.6288906f,
    -1.6233549f, -0.2524306f, 0.4560277f,  0.0014449f,  0.1539733f,  -0.1881144f, 0.2777644f,
    -0.6898512f, 0.1243518f,  1.7378424f,  -1.1119247f, 0.2758044f,  -0.2530288f, 0.6068207f,
    -1.2597140f, -0.8793967f, 1.4059821f,  -1.6155724f, -0.1529637f, 1.5566213f,  -0.0833567f,
    -1.1300861f, 1.7422643f,  0.8207772f,  -2.0724891f, -0.4259443f, -0.2257124f, -0.0484017f,
    0.0201640f,  0.2321409f,  1.3113394f,  1.1235430f,  1.5961129f,  -1.7620307f, 0.5973835f,
    0.5836485f,  1.2210611f,  -0.0486721f, -0.5816556f, 0.7481915f,  0.3894654f,  -1.5331468f,
    0.1544876f,  -1.2195530f, 0.4872674f,  -1.1706217f, -0.2951944f, 0.4101480f,  -0.2791778f,
    -1.4703234f, 1.1817891f,  0.4396275f,  0.0000000f,  -0.0000000f, -0.3408960f, 0.0162179f,
    1.3951972f,  -0.8734320f, -0.3312017f, 0.4876728f,  -1.1394275f, 1.7391850f,  -1.2523641f,
    0.9029949f,  1.4489571f,  -0.3274691f, -1.2491958f, -0.1606341f, 0.2941810f,  -1.1735860f,
    -1.0622422f, 1.0112655f,  -1.4451341f, 0.7144962f,  -0.6271976f, 1.4537305f,  -0.1268095f,
    -0.1397575f, 0.0001569f,  -0.1914087f, -0.6482187f, -1.0234365f, -0.6658100f, 0.8603131f,
    0.3599101f,  0.0497608f,  -1.2468849f, -0.4932516f, 1.8230972f,  1.3670831f,  -0.0380776f,
    -0.8090636f, -0.5903361f, -0.7412455f, 1.6102897f,  0.2424251f,  -1.0666806f, -0.7528365f,
    0.4280207f,  -2.0600944f, -0.0881519f, -0.1815557f, 0.3214690f,  -0.9124063f, 1.4528999f,
    0.2649188f,  -0.4861622f, 1.6529734f,  -1.5401390f, -1.7066685f, -0.0376884f, -2.5146530f,
    -0.1699811f, 0.5731909f,  1.4028700f,  -1.2638342f, -1.2136116f, 0.0502218f,  0.0064622f,
    -0.4869256f, 1.0752519f,  0.4057928f,  -0.3750748f, 0.1939982f,  0.5795505f,  1.3808927f,
    -0.1813548f, -0.0326077f, 0.8091339f,  -1.2066438f, 0.7495210f,  -0.7542075f, -2.2422512f,
    0.0968920f,  -1.7164852f, 1.4654339f,  -0.2551633f, 0.0306464f,  -0.2938846f, -1.0589783f,
    -0.8942364f, -1.4046779f, 0.9876126f,  0.2981631f,  -1.3109524f, 1.5682792f,  0.8673751f,
    -0.0051660f, -0.5230455f, 0.2518562f,  -1.5584151f, 0.1368517f,  0.4338745f,  0.5459565f,
    -0.6826771f, 0.9124848f,  0.5117286f,  -1.7370884f, -0.5601261f, -1.0986462f, -1.1132931f,
    -0.0900847f, -1.7426796f, -0.0471913f, 0.6341642f,  0.3983786f,  1.5147861f,  -1.8237074f,
    0.3513996f,  -0.3459455f, -1.3412472f, 1.5195856f,  -0.8445357f, 1.1427364f,  0.9352115f,
    -1.6000495f, -1.6476399f, -1.3438719f, -0.3558340f, -0.4505329f, -0.6225629f, -0.1754435f,
    -0.3285444f, 0.4375372f,  0.8490674f,  1.2348584f,  1.3400044f,  -0.0947286f, 2.2739639f,
    0.1107091f,  -0.4631122f, -0.6056225f, -0.1687942f, 0.2411370f,  0.0661480f,  -1.0495453f,
    -0.0172105f, 0.3374113f,  1.4448587f,  0.9432683f,  -0.2162366f, 1.1646586f,  2.1334706f,
    0.7937927f,  0.4938963f,  0.0814533f,  -2.4824025f, -2.3572488f, 2.3251087f,  0.3446377f,
    0.1227655f,  1.2555959f,  0.1801073f,  -1.3155214f, 1.3662104f,  0.6818424f,  0.2930615f,
    -0.4003720f, -0.4298268f, 0.0212429f,  0.9995609f,  -2.1302132f, 1.6734362f,  1.1707968f,
    -0.1352253f, 0.0099017f,  -0.1337251f, 0.4422126f,  1.0611771f,  -0.4127932f, -1.2582740f,
    -1.3377512f, 0.7577061f,  -0.4472123f, 0.1607244f,  -0.0984293f, -0.7319546f, 0.6500938f,
    -0.4450240f, 0.8740259f,  -0.3353247f, -0.4584997f, 0.8253331f,  0.4924893f,  0.9171391f,
    -0.1737016f, -1.2412803f, 0.2916371f,  -0.2639285f, 0.4582665f,  2.2246209f,  -1.8838356f,
    -1.4058963f, 0.0073666f,  0.0875807f,  0.2330484f,  -0.2959202f, 1.3787053f,  -0.2187859f,
    -1.3206327f, -1.3802436f, 0.6404357f,  0.9317342f,  -0.0852921f, -0.4514363f, 1.3921391f,
    1.3547795f,  0.7394940f,  -1.3130287f, -1.4222401f, -0.5506570f, -1.0488070f, 2.2021696f,
    -0.5897951f, 0.2970195f,  -1.2467237f, -1.0608181f, -1.0466285f, -1.7505044f, 0.4608627f,
    0.0332837f,  -0.7162430f, -1.9645177f, 0.7737459f,  0.8320217f,  -1.2852221f, -1.3981679f,
    -0.0228188f, 0.0998169f,  1.1866220f,  1.3747286f,  -0.9841836f, -0.8852632f, -0.5368264f,
    -1.4450606f, -0.9169730f, -0.2198126f, 0.5376514f,  0.0896094f,  -1.5638997f, 0.0711714f,
    0.1871987f,  0.7141165f,  0.5843558f,  0.0093098f,  0.6519192f,  1.8554202f,  0.7897422f,
    -0.0165425f, -0.7104604f, -1.6866331f, -1.3067315f, 1.3740433f,  -0.1762628f, -0.9419014f,
    0.0872215f,  1.1061876f,  0.0263271f,  -0.4814165f, 0.5727337f,  0.5170549f,  0.8676747f,
    0.8717019f,  0.7982379f,  0.3010719f,  0.0183857f,  0.7590144f,  -0.0425360f, -0.1497456f,
    1.1282289f,  1.6013917f,  -0.5040590f, 1.4475640f,  1.0781480f,  -1.6688708f, 0.4145495f,
    1.2056571f,  -0.7103497f, -0.3311557f, -0.4915080f, -0.2603052f, 0.0200145f,  0.2606912f,
    -0.4578314f, 1.5532081f,  -0.5177503f, 2.3552171f,  -0.4190484f, 0.2479403f,  1.8848257f,
    0.3067265f,  -1.1610137f, 0.0094905f,  0.5507821f,  0.8234204f,  0.6583097f,  0.4543485f,
    2.3124557f,  0.5715814f,  0.7188459f,  -0.1408935f, 0.7747772f,  -0.3871419f, 0.2263257f,
    0.2123271f,  2.0337086f,  1.9310585f,  0.4470261f,  1.5646212f,  -1.3641718f, -0.2868345f,
    -0.4989838f, -1.6866196f, -0.0713087f, -0.4669185f, -0.9930888f, 0.0000000f,  0.0000000f,
    -1.5888291f, 0.9656571f,  -0.4580842f, -0.6724700f, 1.0314464f,  -1.2641331f, 0.9725308f,
    -0.2420088f, 0.7613714f,  1.0034866f,  0.5110680f,  1.4318081f,  -0.4602721f, 0.0518366f,
    1.0042749f,  -0.5555137f, 0.4369990f,  -2.2472694f, -0.7842795f, 1.1980705f,  1.1456435f,
    -0.5084010f, -1.5127345f, -0.9107970f, 0.0302846f,  1.2663450f,  0.0602196f,  1.0318170f,
    1.2055774f,  0.3954838f,  -1.4531692f, -1.3604740f, 0.3689312f,  -0.5621796f, -0.2756898f,
    2.2957133f,  1.6083535f,  1.9547575f,  -1.3042578f, 0.6137580f,  0.1258243f,  1.6120994f,
    -0.7242419f, 0.3520984f,  0.4048561f,  -0.0349669f, -1.2519594f, -1.8200534f, -0.6698473f,
    -1.0827419f, 0.0943862f,  1.4346023f,  -0.1282745f, -0.3593987f, -0.4772924f, 0.0719856f,
    1.5611703f,  1.1314290f,  -0.3241333f, 0.0664725f,  -0.5645265f, 0.1663875f,  1.4719341f,
    0.0126803f,  0.0131479f,  0.8128764f,  0.0844130f,  -0.3325721f, 0.4534234f,  1.4333527f,
    -0.7768456f, -0.8395964f, 1.0172131f,  -1.4085517f, -1.4761807f, 0.7066169f,  0.7315482f,
    0.8769536f,  -0.6053143f, -0.3156699f, -0.1387928f, -0.2493834f, 1.1503612f,  0.9046043f,
    -0.1194230f, -0.0901688f, 1.0985819f,  -1.8121953f, 0.4222539f,  0.9111507f,  1.1154526f,
    -0.3946817f, -0.4614026f, -0.2011134f, 0.6452804f,  0.1981454f,  0.0702537f,  -1.5076215f,
    0.0339584f,  -0.7662871f, 1.0477483f,  1.9667252f,  1.2430154f,  -0.2564126f, -0.8171925f,
    0.9216065f,  -0.4892586f, 1.4598063f,  0.1494084f,  -1.7355071f, -1.0585595f, -2.6263867f,
    -0.8858203f, 0.6602486f,  1.0721255f,  -0.1250243f, 1.6850016f,  0.4589733f,  0.8495646f,
    0.1620074f,  0.6634217f,  0.1972484f,  -0.2942965f, -0.5606451f, 0.4720086f,  -0.5921040f,
    0.5152556f,  -1.1282256f, -0.9026181f, -1.2413069f, 1.1493056f,  -1.0617507f, -0.2719783f,
    0.0123624f,  -0.9146350f, 0.0574991f,  -0.3722031f, 0.3998112f,  -0.7566857f, 0.7237947f,
    -0.0931695f, 0.9486966f,  1.8665475f,  1.3326598f,  0.8680154f,  -0.2772062f, 0.0810680f,
    0.7966113f,  0.2644797f,  -0.3531696f, 0.4476421f,  -1.1214869f, -0.8405227f, 1.7713662f,
    1.6406123f,  0.8435041f,  1.8152414f,  0.7812863f,  -1.5248265f, -0.8967129f, 0.5679459f,
    0.4824776f,  0.2048065f,  0.2622847f,  -1.6265705f, 0.0163604f,  -0.8315661f, -1.7070552f,
    1.8719510f,  -0.0953017f, 1.8391897f,  -0.0221107f, -1.4743547f, 1.3962988f,  -0.6137271f,
    -0.5509995f, -0.4450000f, 0.5432622f,  1.2952038f,  -0.6125683f, -1.1099023f, -0.1213842f,
    1.1688805f,  -1.2221241f, -1.0395329f, -0.2963998f, 0.5581047f,  -1.0252892f, 0.6540085f,
    0.2539675f,  0.1986371f,  0.6017645f,  -2.6793912f, 0.2503380f,  -1.7904164f, -0.1135829f,
    1.2575813f,  0.6495876f,  0.5042753f,  0.3204564f,  -0.5228295f, -0.2327371f, -0.0045279f,
    0.1606400f,  -0.5180901f, 2.6608008f,  0.5476788f,  -0.4697176f, 0.6065977f,  -1.1786633f,
    -1.3387474f, 0.4218791f,  1.0104286f,  -0.8549440f, -0.7383301f, -0.5346994f, 1.2715251f,
    0.0402244f,  -1.9018548f, -0.6115659f, 0.2930383f,  -0.7147290f, 0.0674652f,  0.5646989f,
    0.1807629f,  -1.3301541f, 0.0494497f,  -0.3275821f, -0.2285807f, 0.4379239f,  -1.2775157f,
    1.1463290f,  -0.5902278f, 0.0043045f,  -1.5214233f, -0.6755392f, -0.6214017f, -0.2519561f,
    -1.2542348f, 0.2436477f,  -0.0958976f, -0.4420779f, -1.4493951f, -1.4549172f, -0.2551190f,
    -0.3154134f, 1.5792453f,  -0.1027331f, -0.9882466f, 1.5788092f,  -1.8673547f, -0.3602473f,
    0.3310820f,  -0.3095978f, -1.0614815f, -1.0628579f, -0.1524535f, -0.2639115f, 0.3957885f,
    1.5985022f,  -0.0150076f, -1.3807100f, 0.5895697f,  1.8838707f,  2.8557792f,  0.5405017f,
    -0.1289482f, 2.8512736f,  0.9153094f,  0.8486649f,  0.8727433f,  0.0784589f,  -0.0275585f,
    0.4398214f,  -0.0267699f, 1.2817788f,  0.2024055f,  -0.0258987f, -0.4412082f, -0.1238659f,
    -0.8578769f, -0.0215981f, -0.1383013f, 1.3379516f,  0.4080831f,  -1.3263578f, -0.5913040f,
    -1.6093632f, -0.1810801f, -0.9528446f, 0.1948679f,  -1.0682855f, 0.6129044f,  1.7187304f,
    0.8573327f,  -2.1445390f, -1.4182083f, -1.2207506f, -0.0052319f, 0.2780264f,  -1.7696635f,
    -0.6067619f, -0.8355963f, -0.2971664f, -1.2169462f, 1.4969292f,  1.5618002f,  -0.0674973f,
    0.2079200f,  1.4687203f,  -2.9548351f, -0.7524455f, -0.2754440f, -1.1364191f, -0.3671675f,
    0.4373585f,  0.1624827f,  -0.1490948f, -2.2852429f, 0.5569781f,  1.1761538f,  0.0194368f,
    -1.1267347f, -1.4924527f, -0.7929196f, -0.3766172f, 1.0694816f,  -1.4193012f, -0.1536989f,
    -0.0214542f, 0.9498852f,  1.1763828f,  -1.3642705f, -0.8210819f, 1.0730700f,  0.4649819f,
    -0.9480612f, 0.9591443f,  -0.1483782f, 1.1225493f,  -1.0768475f, -0.5214794f, 0.8305943f,
    -0.8779649f, 0.5486095f,  1.0754781f,  0.4514958f,  -0.2693411f, -0.3863678f, -0.0509290f,
    1.1780205f,  0.4391517f,  -0.8459649f, -0.6172982f, -0.3594432f, -0.4259023f, 1.0722235f,
    -0.4271013f, -1.4575802f, -0.4004846f, -0.0019819f, -0.8114101f, 2.6605362f,  0.4575237f,
    1.1927068f,  -0.6154834f, -0.9780296f, -1.2186640f, 0.6380247f,  -1.4947821f, 0.1568231f,
    -0.0608526f, 2.7792124f,  -0.7259375f, -1.1195754f, -0.4766126f, -0.9918806f, 1.1185309f,
    -1.3669175f, 1.1950262f,  -0.2834492f, -1.1111355f, 0.3902727f,  -1.0970541f, -0.9572712f,
    1.1906245f,  1.4495354f,  1.0419020f,  -0.6876649f, 1.0520921f,  1.1844608f,  0.4286268f,
    0.2003751f,  0.6898125f,  -0.3909519f, -1.2652144f, 0.2253175f,  -1.0627294f, 0.3108905f,
    1.0466221f,  -0.9780804f, -0.9230527f, -1.4092525f, 0.2717664f,  -1.4912494f, -1.3944566f,
    0.8591343f,  1.0065312f,  0.9529505f,  1.1805661f,  -0.9865537f, -0.8765330f, 0.8600490f,
    1.0006805f,  0.7670007f,  1.0858356f,  0.8893673f,  -0.4070888f, -0.4039790f, 0.4468373f,
    1.1936332f,  -0.3801712f, 1.1831433f,  0.5299659f,  0.5766513f,  2.2353826f,  0.4827051f,
    1.1739334f,  -0.9605700f, -0.7302380f, 0.9720685f,  0.0092711f,  -1.4801100f, -0.4448630f,
    0.9357771f,  2.1995989f,  0.8715250f,  -1.0188367f, -1.3071045f, 0.9129164f,  1.4026737f,
    -1.1479912f, -0.5537483f, -1.0883281f, 1.0863775f,  -1.1074714f, 1.1707350f,  1.1008706f,
    -0.8310297f, -1.4319437f, 0.7074722f,  3.3311571f,  -0.1658542f, 0.4195916f,  -0.6236503f,
    0.8718398f,  1.1776423f,  -1.4315736f, -1.3023642f, -1.1260001f, 0.4450873f,  1.1629864f,
    1.0747119f,  -0.1272203f, -0.7967909f, -0.8285117f, -0.2516116f, -0.1758976f, 0.8024675f,
    -0.9783837f, 0.9773407f,  -0.7732550f, -1.4786939f, -1.4728976f, 0.3736603f,  -0.8029906f,
    -1.2902296f, -0.5645132f, -0.3382349f, 1.0421277f,  -0.1959099f, -0.8438963f, 0.6010078f,
    -1.2567497f, 1.0946906f,  1.1443806f,  0.7492564f,  -0.6579841f, -0.0042806f, -0.5711944f,
    -1.3499801f, 0.0376653f,  0.9281912f,  -1.1243554f, -0.0729951f, -0.1699083f, -0.4406761f,
    -0.4582727f, -0.7811985f, -0.3586770f, -0.9551364f, 0.9189754f,  -0.9504498f, 1.1168054f,
    -0.2663448f, 1.8539782f,  0.7409463f,  0.7043972f,  -0.2368381f, 1.0223552f,  -1.4397265f,
    0.4218217f,  0.7535979f,  -0.7691823f, -1.4012221f, -1.0431723f, 0.2887046f,  0.8800564f,
    0.0523575f,  1.0495884f,  -1.1401412f, -1.0714380f, -1.4494812f, 0.0780354f,  1.1379074f,
    -0.4569105f, -1.4946899f, 1.1905570f,  0.3442621f,  0.3051803f,  -1.0270720f, -0.6259526f,
    0.8333060f,  0.0298605f,  0.4875652f,  -1.0036226f, 0.7100363f,  -0.9307772f, -0.9028120f,
    -1.0263284f, 0.0276264f,  -1.1236742f, -0.0173127f, 0.6254898f,  -0.9293852f, 0.7500860f,
    -1.1184127f, -0.8017197f, 1.1821263f,  -0.5765140f, -0.2927877f, -1.2240408f, -1.4745998f,
    -0.7492180f, 0.7677241f,  0.6998209f,  1.0740674f,  -1.0501098f, 0.2073557f,  -0.9905417f,
    -0.9314348f, 1.1829747f,  0.2988305f,  -1.1130989f, -1.1192203f, -1.2183077f, -0.5533900f,
    -0.8480655f, 0.2952424f,  -1.0778506f, -0.2221194f, -0.2507051f, 1.9732047f,  0.1283100f,
    -0.2590952f, -1.1592897f, -1.4495384f, 1.1757104f,  0.9227785f,  0.8813728f,  1.1876472f,
    1.1115178f,  1.0384693f,  -0.8663245f, 1.1968433f,  0.1626015f,  1.1144318f,  3.0497121f,
    1.6752048f,  -1.4424188f, -1.0045715f, 0.6447134f,  0.7064111f,  -1.3510477f, -0.1490081f,
    0.2278267f,  1.1943530f,  3.5433339f,  1.1299762f,  0.5904573f,  1.1681529f,  -1.4865681f,
    -1.0610157f, -1.4639216f, -0.5256262f, 1.1909380f,  1.1679865f,  -1.0078310f, 0.5349123f,
    -0.5707289f, -0.0655031f, 0.1534171f,  0.3092457f,  0.4282284f,  -1.1134405f, 0.9005852f,
    -1.3134227f, 0.1254302f,  -0.5974946f, 0.6059396f,  -0.1828529f, 0.7272443f,  0.8399268f,
    -1.1089156f, -0.9469888f, 0.3837141f,  0.0364574f,  -1.4601885f, -0.3420799f, 0.5407882f,
    -0.1254260f, -1.1256589f, -0.7472988f, 0.3305619f,  1.4282256f,  -1.0269695f, -1.4792517f,
    0.8566009f,  1.1482394f,  1.0689737f,  0.6621777f,  -0.9614869f, 0.9250077f,  0.0113212f,
    0.8216760f,  1.1965385f,  0.0000000f,  -0.1321723f, 0.5094271f,  -1.5805565f, 0.5975378f,
    0.1258295f,  -1.2285677f, 1.3595160f,  0.4073546f,  0.2059555f,  -0.3557421f, 0.4386145f,
    -0.5392987f, 0.5038196f,  1.7328250f,  1.0348454f,  -1.5771858f, -0.2154886f, -0.1706727f,
    -0.4949237f, -0.9812004f, 1.0629320f,  0.9161755f,  0.5325022f,  -0.1935378f, -1.6299869f,
    -1.8499867f, -1.0141147f, 0.2961373f,  1.3026412f,  -1.0943519f, 2.1700668f,  -0.4700187f,
    -1.2406189f, 0.6476371f,  1.3790290f,  -0.3743363f, 0.7313080f,  -0.2425587f, -0.3262053f,
    1.9495884f,  1.5301698f,  -0.0826617f, 0.7386509f,  0.3217621f,  -1.1195442f, -1.3396005f,
    0.0501306f,  -1.0285858f, -0.3945806f, -2.1227100f, 0.5722845f,  0.1525127f,  0.2538923f,
    0.7461001f,  0.4944833f,  0.6820738f,  0.0790874f,  -0.0575249f, -1.0149872f, -1.5202560f,
    0.3573119f,  -0.6247643f, 0.0706274f,  -2.5678970f, -0.8485115f, 1.7358167f,  0.1197101f,
    -0.2327111f, 1.6356137f,  1.7345180f,  -0.1048390f, -1.2953139f, -0.6850568f, 1.2455933f,
    0.0223652f,  0.9227127f,  0.4011402f,  1.3166624f,  -0.2642783f, 0.4045334f,  1.5651023f,
    0.0726378f,  -0.7476974f, 0.1347879f,  -0.0103613f, -1.0024224f, -0.2698592f, -1.0172649f,
    0.5558196f,  -1.1353055f, -0.1035819f, 0.7499104f,  0.6065501f,  1.0142542f,  1.8347228f,
    -1.3574298f, -1.6444605f, 0.1152217f,  -0.1624333f, -0.2574725f, 1.2653009f,  0.9984385f,
    1.8052901f,  -0.8537709f, -0.2166818f, 0.1687033f,  -0.7985287f, -0.8423329f, -0.7186129f,
    -0.2584111f, 0.5998968f,  0.2209282f,  -0.5848728f, 0.7991491f,  -1.5469530f, 0.0758716f,
    -1.1160940f, -2.4419746f, 1.3739618f,  -1.1106933f, 0.3795260f,  -0.2372806f, -0.2172670f,
    -0.2033806f, -0.3473472f, -1.5706125f, 0.0744461f,  1.2331054f,  0.7712187f,  1.3224510f,
    0.9132087f,  0.6806438f,  0.5429475f,  0.1382324f,  -0.6261969f, -0.5893658f, 0.0019527f,
    -1.6152696f, 0.0709678f,  -0.0375052f, 1.4382110f,  -1.6631028f, -0.5238516f, 0.0856672f,
    0.8827212f,  -0.9629553f, -0.7414976f, 0.9605688f,  0.8486171f,  0.1784370f,  -0.0741382f,
    -1.6449746f, -0.0379043f, 0.7421255f,  -1.4026012f, 1.8334442f,  -0.0874021f, -0.4515138f,
    0.7153747f,  0.1117229f,  0.6386261f,  -0.3724677f, -0.1091278f, -1.2770954f, -1.2745266f,
    -0.8883566f, 1.3835304f,  -0.2922007f, 2.1035129f,  2.3180026f,  -0.0403791f, 0.3020923f,
    -1.5999239f, 0.1373930f,  0.4574573f,  -0.9761557f, 1.4248570f,  0.7205752f,  0.9705487f,
    0.8229724f,  -0.0802209f, 1.5018134f,  2.8506080f,  0.5741933f,  0.5481747f,  1.1895802f,
    0.8178946f,  -0.0511346f, -1.1490356f, -1.1104195f, 1.1415196f,  0.6920336f,  -0.0344261f,
    0.9006109f,  2.9643017f,  -0.4287783f, 0.8205442f,  0.7498483f,  -1.4538184f, -0.1655309f,
    1.5953199f,  0.0145816f,  -1.4516890f, 0.0650393f,  -0.0825113f, -1.4852672f, -0.9732559f,
    -0.3609628f, -1.2480329f, -1.0275651f, 1.1225928f,  -0.6880051f, 0.5899083f,  -0.9892912f,
    -1.2973828f, 0.6070206f,  0.3839409f,  1.3394020f,  -0.1102617f, -1.8859302f, -1.2702259f,
    1.5272175f,  -1.1637283f, -0.1811719f, -0.9718223f, 0.2019908f,  -0.3638508f, 1.5575795f,
    1.1167405f,  0.2613644f,  1.1125396f,  0.4147645f,  0.8479518f,  -0.4466817f, -0.5780468f,
    0.5324903f,  -0.3494412f, -0.6491159f, -0.0769728f, -1.2163957f, -0.0416816f, 0.1567266f,
    1.0878578f,  1.0676464f,  -0.7271426f, 1.5691286f,  0.3409976f,  0.1318689f,  -2.5248010f,
    -2.6252878f, -0.9038894f, 0.0489055f,  -1.2214050f, 0.3884793f,  0.0786919f,  -0.0072986f,
    -0.3724515f, -0.1519313f, -0.5800604f, -0.7606451f, -0.2042165f, -0.0505336f, 0.8464258f,
    -0.2122872f, 0.0654926f,  -0.5627989f, 0.0855608f,  -0.7109945f, 0.7019699f,  -0.9752059f,
    0.2267409f,  1.3472772f,  -1.6057040f, 0.1178010f,  -0.4994997f, -0.5549303f, -0.8515271f,
    -0.3151528f, 0.2300773f,  -0.3054470f, -0.4067507f, 2.1309840f,  0.1742034f,  0.3492208f,
    -0.6183027f, 1.4185039f,  0.3953574f,  -1.7665941f, 0.1918572f,  -2.8290066f, -1.2058281f,
    0.1469893f,  -0.2496816f, 0.8609612f,  0.5991971f,  1.5616950f,  -1.9928354f, -0.7333526f,
    -0.6725300f, 1.1844725f,  0.0490544f,  -0.2976280f, 1.5864878f,  1.6447487f,  -0.3568275f,
    -0.9371704f, -0.5152022f, -0.3928148f, -0.0170507f, -1.1799010f, -0.5770709f, -0.2222754f,
    -1.4892372f, -0.1499982f, 0.2413487f,  0.3042625f,  0.6145801f,  1.4583314f,  0.8188297f,
    1.9113807f,  -1.5288852f, 0.2769462f,  0.0622386f,  1.6327938f,  2.1018073f,  -0.4769518f,
    -0.0083182f, -0.3751743f, -2.2522226f, 0.0582185f,  -0.0355056f, 1.1215213f,  0.2817729f,
    -1.0475999f, -0.8356156f, -0.0779433f, 0.4077038f,  2.1855704f,  -1.5993920f, -0.1373414f,
    1.2850864f,  -1.1524758f, -2.1845381f, -0.3264405f, -0.0857160f, 0.1413575f,  -0.0673557f,
    0.4874738f,  -0.0860103f, -0.0047925f, -0.0428659f, -1.5279392f, -0.2407004f, -0.0645486f,
    2.2819260f,  -0.4981665f, -0.0045955f, -0.7392680f, 0.5044338f,  0.5663820f,  -1.9280206f,
    -0.1233710f, -2.3566147f, 0.2437486f,  -0.7753470f, 0.6966095f,  -0.2090067f, -0.9635256f,
    1.0784882f,  -0.6434456f, 0.7582608f,  0.0174357f,  0.3990441f,  0.4586373f,  -0.6219935f,
    0.7242439f,  -0.7250111f, 1.3720722f,  -0.5364277f, 0.5615975f,  -0.1608138f, -0.5107186f,
    -0.2736420f, -0.3805035f, 1.4872297f,  0.1424767f,  1.2204675f,  0.7107924f,  -1.6799385f,
    0.4265534f,  1.6173495f,  -1.2871182f, -0.9566040f, -0.6683777f, 1.3190706f,  0.3093833f,
    -0.2828419f, -0.0369842f, -1.0265515f, 0.3943554f,  0.7202634f,  0.4662852f,  -1.1376977f,
    -0.9283190f, -0.2304258f, -1.1907243f, 1.9524330f,  1.0739101f,  1.3376289f,  -1.2159100f,
    -1.4077472f, -0.0688369f, -2.0744924f, -1.1440255f, 1.2944365f,  0.5343149f,  -0.6948332f,
    -0.7560386f, 0.0232814f,  0.4258266f,  -1.0299369f, -0.8028602f, -0.6277209f, -1.6162061f,
    -0.2854242f, 0.0329219f,  -0.0782485f, 0.1967743f,  0.2938365f,  -1.2987981f, -0.1580280f,
    -0.6350301f, -0.0693273f, 1.0032434f,  -0.0601063f, 1.4530957f,  -0.8501072f, 0.1562482f,
    1.7472756f,  -2.4703397f, -1.5247533f, 0.5091546f,  2.0206716f,  0.2290685f,  1.0946144f,
    1.1401513f,  0.1549066f,  0.6227661f,  0.6682588f,  0.5385518f,  -1.7633225f, -0.6148865f,
    -0.0683654f, 0.1285584f,  0.1364235f,  -0.4654310f, 0.8916672f,  0.9777318f,  2.3982198f,
    -1.0318386f, -1.6280708f, -0.9515394f, 1.6521962f,  1.6985677f,  0.1788974f,  0.5885278f,
    -0.6605953f, 0.1870993f,  -0.1429514f, -0.1502421f, 1.0852531f,  -1.2719603f, 0.0737035f,
    -0.8614209f, -1.8073618f, -0.8402725f, -1.2036137f, -0.3098721f, -0.5552455f, 0.2589138f,
    1.6451657f,  0.2315118f,  -0.1108054f, 1.2224797f,  -0.4551326f, 0.5936210f,  1.4301751f,
    -0.8902111f, 0.9315726f,  0.2761283f,  0.8980870f,  -1.2466954f, 0.4481123f,  0.3603837f,
    -1.1336103f, 0.4005320f,  0.3581725f,  -0.7112665f, -0.6024444f, 0.5103300f,  0.4539165f,
    0.6302116f,  -0.8205580f, -0.3555203f, 1.6781776f,  -0.0493474f, 1.1536697f,  0.5652365f,
    0.5788761f,  0.0601841f,  -1.0475358f, -1.8145755f, -0.0523583f, -0.4576029f, 1.0520220f,
    1.4659895f,  -1.5131716f, -1.6378424f, 1.7143518f,  0.5194295f,  -1.6235831f, -1.2022429f,
    1.6872091f,  -1.9107227f, 0.0175966f,  1.5688917f,  0.7081341f,  2.1150181f,  0.9880089f,
    -0.2754507f, -1.5637225f, -0.5922586f, 0.7302949f,  -0.5141570f, -0.0041587f, 0.3232109f,
    0.4755037f,  0.0286436f,  0.3174390f,  -0.2587748f, -0.4797291f, -0.0286504f, 1.2461665f,
    -0.0185171f, -0.4705218f, 0.7454875f,  -0.6321121f, 1.2268513f,  0.5965178f,  -0.1947682f,
    -0.7793714f, 0.5236621f,  1.1157996f,  0.2640859f,  0.8305624f,  1.1462903f,  0.3933867f,
    0.3946786f,  1.5320547f,  0.1251299f,  -0.8400816f, 0.0600033f,  1.4604362f,  0.0271229f,
    -1.5230755f, 0.7387390f,  0.9419185f,  -0.0682458f, -0.4035305f, -0.2682902f, 0.1220940f,
    -0.4231982f, 2.2965194f,  0.8141203f,  0.3430667f,  0.1776163f,  1.0090135f,  0.2978982f,
    1.4531761f,  1.2028689f,  0.8892322f,  0.0057877f,  -1.1387921f, -0.9628711f, -0.6785883f,
    -1.4459154f, 0.0444039f,  1.3369137f,  -0.3781881f, -1.1739753f, -1.7636952f, 1.3785803f,
    -1.6553594f, -0.0552912f, -1.3872215f, 0.1348717f,  -0.1876877f, -1.5334491f, 0.0054268f,
    -1.5484729f, 0.4743854f,  -0.7324698f, 2.2105875f,  -0.5444075f, 1.6060485f,  1.7368333f,
    -1.6461067f, -1.2834487f, -0.6044308f, -0.5279169f, -0.7512096f, -0.3452831f, 0.0827514f,
    2.0280404f,  -0.1088045f, -0.4437719f, 1.0471159f,  0.8158939f,  0.5279509f,  0.1577642f,
    -0.1384065f, -0.2172806f, 0.7339036f,  -1.0742683f, -1.5122460f, -2.3787405f, -0.7347470f,
    -0.3317458f, 0.4254515f,  -0.1510210f, 0.9206060f,  -0.2623723f, -1.4356640f, 1.0643621f,
    0.2435516f,  -1.4033077f, 1.4987826f,  -1.2472189f, 1.0049689f,  0.2957688f,  -0.4730749f,
    -1.2712337f, 1.3247833f,  -0.3029138f, 0.0848809f,  0.9364983f,  -1.4349138f, -0.0000000f,
    2.1830417f,  1.7451093f,  -0.1444909f, 0.4648631f,  -1.0276301f, -0.8214950f, 1.0441712f,
    0.3722001f,  -0.2845809f, -2.2190442f, 0.9999005f,  -0.7847468f, 1.4522722f,  1.0639635f,
    -0.3765367f, -0.2302736f, 0.0639886f,  -0.4011687f, 0.7366830f,  -0.2765925f, 1.8175380f,
    1.5167491f,  0.7916795f,  -0.6379385f, 0.0785669f,  1.9448858f,  -1.5081762f, -0.7145824f,
    0.5091778f,  -1.7629987f, 1.0921791f,  -1.2345240f, -1.5741413f, -0.0210652f, -0.5905894f,
    -0.7363725f, -0.9168858f, -0.7351234f, 0.6656637f,  -0.0211011f, -0.4863971f, 0.4756401f,
    2.0044463f,  0.7207341f,  1.4053762f,  1.0518624f,  -0.5417175f, -1.5191314f, -1.0169208f,
    -0.0530511f, 1.1840982f,  0.0155959f,  0.7248594f,  -0.6314814f, -0.0174711f, 0.5920997f,
    0.4236057f,  -0.1738578f, 1.3183397f,  1.3917284f,  -0.2941145f, -0.4776783f, -0.4257825f,
    -0.0036731f, 0.1810590f,  -2.1244917f, 0.0651832f,  0.4134158f,  -0.9980747f, -1.0516519f,
    -0.1873986f, -0.0752452f, -2.0417681f, 0.8042112f,  0.1082415f,  1.3374872f,  1.2624884f,
    -0.1109754f, -0.6768118f, -1.8981265f, -1.4310738f, 2.1716524f,  -1.0888945f, 0.5157910f,
    -0.0456800f, 1.3159238f,  -0.2059430f, -1.7641904f, -1.1242117f, 0.2792268f,  -0.4458705f,
    0.7259156f,  0.0086368f,  -0.4218719f, -1.8567208f, 0.3559084f,  1.1128257f,  -0.0356380f,
    -0.4799244f, 0.7685980f,  0.1062644f,  1.2684223f,  -0.1512748f, -1.6587041f, 0.2722582f,
    0.4584355f,  -0.9978763f, -0.0108042f, -1.6630861f, -0.0041462f, 1.6689898f,  0.2493869f,
    0.1215570f,  0.4507041f,  -0.5463663f, -0.3804789f, 0.4512751f,  0.0972654f,  0.9392262f,
    -0.5215677f, -0.1383727f, -1.0140008f, -0.1665749f, 0.2873595f,  -1.1433850f, 1.4039334f,
    0.8316499f,  -0.6045135f, -0.0158779f, 0.3663655f,  1.6244282f,  1.3086729f,  0.5511993f,
    0.8581388f,  -1.9663062f, 1.7842009f,  0.0055492f,  0.9265561f,  -0.1264475f, -0.0130800f,
    -0.2827397f, 2.1467665f,  -1.0453173f, 0.2540795f,  1.6034344f,  -0.4018300f, 0.3615417f,
    -1.3283781f, 0.7190079f,  -2.0202776f, -1.2973855f, 0.8908884f,  -0.1098844f, -1.4786696f,
    1.1246835f,  -0.6463324f, -0.0550611f, -1.2092021f, 0.8118468f,  0.2155194f,  2.2110329f,
    -1.1464101f, -0.6318142f, 1.4127757f,  1.0436674f,  -1.6489319f, -1.3609809f, -1.9512463f,
    -0.4223248f, -0.2530762f, -0.0916124f, 0.8032587f,  1.6323091f,  0.4053515f,  1.1870690f,
    -0.1260296f, -0.6848821f, 0.0720602f,  -0.0185735f, 2.2207627f,  0.0190841f,  0.6188427f,
    0.2792851f,  1.5635964f,  1.5427139f,  0.8828628f,  -0.6570486f, -0.6128399f, -0.9909415f,
    -0.0413046f, -0.8984157f, -1.5273763f, -0.0980231f, -0.6706032f, 0.5605452f,  -1.0387060f,
    -0.1469177f, -1.6463887f, -0.4854152f, 1.6292863f,  -1.4180239f, 0.0871539f,  1.2976550f,
    -2.1205467f, -0.7584896f, 0.9233556f,  0.6984791f,  -0.6160478f, 0.6161275f,  -0.0443339f,
    1.2878048f,  -1.6860035f, 0.1992786f,  -0.6064590f, -0.3933819f, 0.8093530f,  0.6005481f,
    1.0559579f,  0.0554685f,  0.6806217f,  0.3692620f,  -1.8801345f, -0.0626128f, 0.0881916f,
    -0.0090954f, -0.2177120f, -0.9742341f, -1.5642535f, -1.5092279f, 1.2301966f,  -0.5007753f,
    0.5985617f,  0.7988490f,  -1.1261658f, 0.5506826f,  1.4637637f,  -0.7203200f, -0.5686580f,
    0.2967203f,  -1.0033418f, -0.1142187f, 0.0133320f,  -0.9235749f, 1.9383937f,  -2.1638872f,
    -1.5317715f, 0.2739038f,  0.3980115f,  -1.0594287f, -0.1186373f, -1.5314758f, 0.1457959f,
    1.4961152f,  1.1728606f,  0.5983488f,  -0.0296947f, -1.2570826f, -0.5654147f, -0.0088921f,
    0.0249567f,  -0.8211111f, 0.4270155f,  1.7192733f,  0.0357371f,  -0.0049486f, 0.1812857f,
    1.0264665f,  0.5927895f,  -0.4413888f, -1.0295356f, 1.6218332f,  0.2514087f,  1.7110701f,
    -0.5531824f, 0.0009780f,  1.0573284f,  -0.9868674f, 0.0396863f,  1.9734948f,  -0.4956443f,
    1.4168206f,  0.5000645f,  -0.7109616f, 0.1189860f,  -2.1746648f, -1.1283217f, 1.0404194f,
    0.9656412f,  0.6006649f,  -0.7878671f, -0.7241222f, 0.2162262f,  -0.9304253f, -0.5107728f,
    1.2963326f,  -0.1341251f, 0.5316599f,  -1.6121892f, -0.8035849f, -1.5215828f, 0.1341268f,
    0.7161704f,  -0.5776960f, -0.2585989f, 0.9913440f,  -1.4211458f, -0.8979233f, -1.1131697f,
    -0.0446487f, 1.0081937f,  -1.5581522f, 0.0892409f,  -0.2588626f, 2.0613550f,  0.8850944f,
    0.8811171f,  0.3425642f,  -0.8537959f, -0.6837204f, -0.4889057f, 0.8471622f,  0.9828776f,
    0.3431034f,  -1.7886360f, 1.1855524f,  0.6151217f,  -1.2060062f, -0.8595532f, 0.6632692f,
    0.7244932f,  -2.1316499f, -0.0323763f, -1.6347341f, -0.2595977f, 0.1147866f,  -0.9965794f,
    -0.0034231f, 0.2767316f,  1.9970865f,  -1.3668613f, 0.1682879f,  -0.1415075f, 0.2511737f,
    -1.9034316f, -1.8028929f, -0.0889843f, -1.0040131f, -0.0296342f, -0.9455857f, 2.0595442f,
    0.5910548f,  0.9364637f,  -1.9587982f, -1.8378676f, 0.3139251f,  -0.3136118f, -2.0163908f,
    -0.4799467f, -0.0240183f, -1.0824361f, 0.1171043f,  -0.4929245f, 0.3844270f,  -0.0086541f,
    0.0983129f,  -1.1173665f, -0.2916250f, 0.1663633f,  0.5591966f,  0.0873233f,  -0.8485029f,
    0.3772702f,  1.4106359f,  0.0031461f,  0.5064316f,  1.0724201f,  -0.8596808f, -1.2859128f,
    -1.5106578f, -1.1219529f, -1.4514762f, -0.9054091f, -0.6149446f, -0.0765786f, -1.3043337f,
    1.5874910f,  -0.0575469f, -0.0358556f, 1.9639766f,  1.9486617f,  1.6314425f,  0.2464655f,
    1.5210798f,  1.1374895f,  2.0628324f,  0.5746025f,  -1.4519764f, 0.2982411f,  1.7390581f,
    -1.3488290f, -0.4458621f, -0.7943832f, -0.6176924f, -0.6249177f, -0.1862720f, -0.4184384f,
    0.2411881f,  0.5124632f,  0.8506271f,  0.6618019f,  0.4727770f,  -1.7711460f, 0.1907254f,
    0.3057966f,  0.7547100f,  -1.5245670f, -1.2871287f, -0.0855430f, 1.8642039f,  0.2122558f,
    1.9409235f,  -0.9421899f, -0.9283114f, 1.1917472f,  -0.0414553f, -0.1372114f, -0.0264903f,
    -0.0059578f, -1.6358406f, -1.1145608f, 1.3338609f,  -0.3976646f, 0.1494478f,  -0.6270038f,
    0.4851935f,  1.3963289f,  0.0181854f,  -2.0454233f, -0.0247945f, 0.7396789f,  1.8648428f,
    -0.0576051f, 0.1809243f,  1.0410730f,  0.0752799f,  0.2026205f,  1.7368206f,  -1.3076728f,
    -0.6483704f, 0.7375919f,  1.1993425f,  -0.0040863f, -0.0007095f, 0.5760867f,  0.0627729f,
    0.6883603f,  -0.6572364f, -0.4105932f, 0.9146069f,  -0.5044016f, -1.7714554f, 1.3498871f,
    1.3492802f,  1.8925149f,  0.2148021f,  1.8506619f,  0.6447394f,  2.0680309f,  0.5535130f,
    -2.0740550f, -0.2286969f, 0.7472459f,  1.4229225f,  -0.7359940f, 0.8611452f,  1.0652777f,
    -1.4513841f, -0.7321619f, -0.3590587f, -0.3292890f, 1.8018531f,  1.1880433f,  1.4830589f,
    2.0795934f,  -1.2479049f, -0.7217633f, 0.7597971f,  0.3168453f,  -0.9053018f, -0.8968685f,
    -1.2234207f, 0.3233800f,  -0.2319569f, -0.1109873f, 0.0576363f,  1.7058343f,  -0.7877523f,
    -1.0120124f, -0.3311916f, 0.9005960f,  -0.0944583f, 0.9692968f,  -0.9353359f, -1.1595256f,
    1.6213652f,  -1.7376541f, 0.0452790f,  -0.0963157f, -0.0375064f, 0.8327431f,  0.1585904f,
    1.2627762f,  0.0714606f,  -0.2122565f, -0.9160201f, 0.6202484f,  -1.6617745f, 0.0563265f,
    0.1199907f,  1.2772477f,  1.6702173f,  -0.3545411f, -0.0666655f, 0.2825851f,  -0.3526737f,
    1.1774837f,  -0.8878802f, 1.1160900f,  -0.4595607f, -0.0394530f, 0.0344185f,  1.1645527f,
    -0.1673862f, -0.2825276f, 0.5568134f,  -0.0047074f, 1.3185619f,  -2.1469931f, -1.2576016f,
    1.4488007f,  1.3442786f,  -2.1508718f, -0.3048606f, -0.2643365f, -0.0461467f, 1.3261163f,
    -1.2632238f, -0.2570874f, 0.7458043f,  -1.6566098f, -0.5928568f, -0.9181524f, 0.6734177f,
    -1.2224658f, -0.0997257f, 0.6606165f,  -1.7829440f, -0.8565123f, -1.7122712f, -0.0769576f,
    0.5494994f,  1.5886159f,  0.6359268f,  -2.1847964f, -1.3828944f, 1.0431209f,  0.0435351f,
    -1.6526692f, -0.5228084f, -0.1892245f, 1.7193860f,  -0.8007846f, 0.3116794f,  0.0051256f,
    -1.0605755f, 2.0898090f,  0.6869956f,  -1.2649450f, 0.7264826f,  0.6868058f,  0.1352015f,
    -1.4068668f, -0.2567255f, -0.6727562f, 1.6265120f,  0.6108773f,  0.2359111f,  0.3506890f,
    0.0040225f,  0.0406285f,  1.0897829f,  -1.2564417f, 0.0886684f,  -0.3251360f, 0.7467798f,
    0.5095427f,  -0.3149182f, 0.8905597f,  -0.0000470f, 1.1377718f,  -1.5204560f, -1.1458886f,
    0.9493249f,  1.2966172f,  0.4915342f,  0.0155360f,  1.2622400f,  0.1094492f,  -0.2847635f,
    0.0345937f,  -0.4902937f, 0.5906914f,  -0.3665683f, 0.1983183f,  0.0579415f,  1.5075552f,
    0.3925636f,  -0.6097114f, 0.4939047f,  -0.8420778f, -0.1592761f, 0.2665424f,  -0.9198629f,
    0.5409878f,  -1.3562565f, 0.4281880f,  0.2395880f,  -0.6589584f, -0.9087566f, 0.8517243f,
    0.5285963f,  -0.4080183f, -0.9812038f, -1.0787869f, -0.0140490f, 0.0716125f,  -0.1727960f,
    -0.4213975f, 0.3813193f,  -1.1361958f, -0.7792607f, 1.9510628f,  -1.2210639f, -0.1144995f,
    -0.1002495f, 0.3072462f,  0.5575409f,  0.0000000f,  0.4000576f,  -0.9158004f, -1.0397665f,
    -2.1529560f, 0.2104217f,  1.5231801f,  1.0761790f,  -1.7002927f, 0.7710211f,  0.4622143f,
    0.8302625f,  1.7269419f,  1.9733109f,  0.0350104f,  -1.8045030f, -1.1851945f, 1.9179707f,
    -0.3682521f, -0.0723020f, -1.7294946f, 0.4073982f,  -0.4640007f, -1.7022213f, -1.1774095f,
    -0.9799961f, 1.1199329f,  0.3939767f,  1.1568098f,  1.5146348f,  -0.4593588f, 0.0560988f,
    -1.4567427f, -0.5818103f, -1.8479369f, -0.4979078f, -0.4702229f, 0.0722194f,  -1.1756435f,
    -0.0819308f, -0.0009302f, 0.5144254f,  0.4874006f,  -0.8444493f, 0.5736093f,  0.0317448f,
    -0.2125919f, -0.3619988f, 0.5349454f,  1.1276463f,  -0.0000282f, 0.6994601f,  -0.1359784f,
    1.0362989f,  0.4149621f,  1.9913995f,  0.5613332f,  -1.8149422f, -0.2784983f, 0.0781151f,
    -0.9708766f, 0.1798618f,  0.6072665f,  -1.8897138f, 0.0079304f,  1.9192170f,  -0.9701113f,
    -1.2904779f, 0.3611332f,  -0.8294004f, -0.4095465f, 0.6033084f,  1.2925628f,  -0.1772298f,
    -1.7919153f, -0.0608790f, -0.5048793f, 1.1523776f,  0.6706371f,  -0.7670829f, 0.0500804f,
    1.0296587f,  -0.2702483f, 0.0096694f,  1.1752980f,  -0.1239233f, -1.7881619f, -0.0858031f,
    -0.4535251f, 0.1193444f,  -0.3735109f, -1.1605942f, -0.3145592f, 1.8967072f,  -1.1448522f,
    -0.9514820f, 0.8553722f,  1.2814346f,  1.9247051f,  -0.7354614f, -1.7019756f, -1.8424605f,
    -1.2565825f, -0.0013915f, -0.2633842f, -0.7364229f, 0.5940185f,  0.4430792f,  1.8842859f,
    -1.3085279f, -0.3764346f, -1.0895333f, -1.5814896f, -0.0024546f, 0.9089232f,  0.0610284f,
    0.0730113f,  1.5529848f,  0.0097723f,  -0.0068625f, 1.2619868f,  -0.1457025f, -2.1479260f,
    0.2046386f,  0.2414913f,  -0.7814838f, 0.0993234f,  -0.2936971f, -0.8283828f, 0.0000055f,
    -1.5952927f, -0.0585617f, 0.5395740f,  -1.2655323f, 1.5291275f,  -0.2705516f, -0.0577724f,
    0.0078964f,  0.6585086f,  -1.5703338f, 0.4783437f,  -1.1311319f, 0.8783876f,  -0.5393649f,
    -0.2708010f, 0.3447554f,  -1.5204404f, 0.1427541f,  1.9719579f,  -0.8171994f, 0.0552807f,
    0.3844876f,  0.3629586f,  -0.1626419f, -0.0938544f, 0.0175877f,  -0.0592414f, 0.9501036f,
    1.1445628f,  -0.4853029f, -0.5858300f, -0.0305681f, -0.5146692f, -1.9417117f, -1.4712665f,
    -0.6101867f, 0.7881751f,  1.2510249f,  0.5734671f,  -0.0446772f, -0.0171995f, -0.0763554f,
    -0.9314511f, -1.6058307f, 0.6198724f,  1.3667294f,  0.9428214f,  -0.3945979f, -0.6597702f,
    1.5242767f,  -0.2546563f, 1.2058740f,  1.1829337f,  0.0049706f,  1.5882134f,  1.7916976f,
    -1.4036159f, -0.3614477f, 0.2174146f,  1.7256507f,  1.8647318f,  0.4653151f,  -0.0918491f,
    -0.1400234f, 0.0357387f,  0.0171514f,  1.2409906f,  -1.4918548f, 0.0722234f,  0.0763191f,
    -0.2860537f, 0.9743504f,  0.3011127f,  -0.9582304f, -0.3639749f, -1.4873743f, 0.2066533f,
    -0.0345916f, -0.1225127f, 0.2708824f,  1.8913941f,  -1.0769567f, -1.3880783f, -0.6015358f,
    -1.1381978f, -0.8201750f, -0.2380140f, 0.0151825f,  1.0561359f,  0.0169139f,  0.0338998f,
    1.2813110f,  -0.4916958f, -1.5979779f, 0.0330285f,  0.8460458f,  1.8065976f,  -1.2130221f,
    1.4942219f,  -0.0960063f, 0.3998109f,  -0.3121161f, -1.7368957f, 0.0726008f,  0.2115318f,
    -0.4755279f, 1.8440158f,  -0.4335013f, 0.5893888f,  2.0615594f,  -0.9586310f, -0.1508413f,
    -0.1378898f, 0.2362644f,  0.0340939f,  0.6508835f,  1.3183903f,  -0.3160704f, 0.6351516f,
    -0.0607678f, 0.0009484f,  0.7135426f,  -0.1550287f, 0.0967508f,  0.4453635f,  2.0393446f,
    -0.0738955f, -2.1260133f, 1.5019527f,  -1.0611237f, -1.4157428f, 0.5204301f,  -0.2695675f,
    0.6988626f,  1.9628994f,  0.0000409f,  -0.0055421f, -0.3461369f, -0.3741304f, 0.0228801f,
    1.6895163f,  -0.5564773f, -1.5673705f, -1.8118920f, 0.8725068f,  0.0000008f,  -2.1055767f,
    0.3397232f,  -1.9632366f, 0.2828222f,  -0.0501129f, 0.0427535f,  -0.0276182f, 1.7441158f,
    0.6333326f,  0.6624202f,  0.3419532f,  1.2443405f,  -0.0567345f, 1.0200896f,  -0.0332532f,
    1.9305450f,  -0.0177940f, -1.9558878f, -0.2130660f, -1.3744435f, 0.8210051f,  0.0144677f,
    -1.0969255f, 1.0002615f,  2.1284391f,  0.1763108f,  -0.0960855f, 0.3838671f,  0.9395887f,
    0.2802109f,  0.2048170f,  1.5981366f,  -1.5490293f, -0.0534491f, -0.6718614f, -1.8358389f,
    -0.0034878f, 0.0992645f,  -0.1933707f, 1.8467845f,  -0.6774247f, -2.1682646f, -1.4225995f,
    0.4324115f,  -0.0059688f, 0.3040380f,  1.9438768f,  -0.1205393f, 2.4218245f,  0.0791794f,
    0.0710884f,  -0.3345920f, -1.0068832f, -0.0203954f, -1.0428328f, -0.0921457f, 0.5816600f,
    0.4845467f,  0.1094750f,  1.8238435f,  -0.2273391f, 0.8092032f,  0.0002427f,  0.7737033f,
    -0.3799180f, 0.5777557f,  1.4815767f,  -0.0027770f, -0.4531160f, 0.0807531f,  1.1002100f,
    -0.1957109f, -1.3235313f, -0.3622324f, 0.3344815f,  1.2593538f,  0.4497818f,  -0.3615050f,
    0.0677353f,  0.0055395f,  0.6533314f,  0.0892209f,  -1.4162999f, -1.4969505f, -0.0771981f,
    0.0024589f,  -1.2661530f, -0.0083737f, -0.0000416f, -0.3765528f, 1.0350590f,  0.2411607f,
    1.9151799f,  -0.0406647f, -0.3279095f, -0.0608368f, 1.0871815f,  -0.1187786f, -0.0000076f,
    2.2367503f,  -2.3790021f, -1.0974339f, 1.2423823f,  -0.7682552f, -0.1087133f, -0.3298687f,
    -2.0880339f, 0.0076554f,  0.5686278f,  1.0866516f,  -0.7083287f, 0.8102660f,  -0.0007118f,
    0.8692445f,  0.2696480f,  -0.5635752f, -0.6100737f, 0.2018386f,  0.0179037f,  -0.6017884f,
    -2.1682317f, 0.0851558f,  -1.0992218f, -0.1915841f, 0.5112786f,  1.4427355f,  -0.2088023f,
    0.4347609f,  0.0410610f,  0.7048150f,  0.0779726f,  -0.0150341f, -1.2225201f, -1.4788509f,
    1.1573659f,  -0.3761185f, 0.0475372f,  0.0035763f,  -0.4014682f, -1.1574881f, 0.6424893f,
    -0.8675031f, -1.3188434f, 0.2627700f,  -1.9378565f, 0.4276714f,  -1.0939816f, -1.7395584f,
    0.8744153f,  -1.7784646f, 0.2547196f,  0.0000382f,  1.6200218f,  0.5009490f,  -0.8111312f,
    0.9540015f,  -1.5121432f, 1.8698656f,  -0.0881943f, 0.1333999f,  -0.2621599f, -0.0000416f,
    0.2292989f,  -0.0155425f, -0.0314032f, 0.6117632f,  -0.0006812f, -0.0090645f, -1.5956445f,
    -1.8104429f, 0.6595445f,  -0.6897635f, 0.9127039f,  1.3597225f,  -0.0431655f, -0.0783549f,
    -1.2206346f, 0.0000008f,  -1.8857095f, 1.4549661f,  2.2549642f,  0.7207500f,  1.1904138f,
    0.0474146f,  0.0326521f,  -2.3715382f, 0.1194838f,  -0.5024138f, -0.8631127f, -1.9592871f,
    0.2332926f,  2.3125417f,  -0.3539423f, 1.9588736f,  -0.2196669f, -1.2934883f, 1.3195341f,
    -0.4353072f, 0.0537699f,  -0.0296973f, -0.0126943f, -2.2719948f, 0.0121005f,  0.0070372f,
    -0.0026895f, -0.7107250f, -0.0411327f, 0.6088643f,  -0.5674970f, 0.1273116f,  1.3111087f,
    -0.3093006f, 0.9657556f,  0.7854228f,  0.4262266f,  2.2364657f,  0.0571758f,  -0.0029910f,
    -0.0009398f, 1.7928057f,  -0.2308323f, 2.0904081f,  -1.8640804f, 0.7113646f,  -2.2535596f,
    -1.2998971f, -2.3310015f, -0.7813314f, 0.2085314f,  -0.6732518f, -0.2838832f, 0.0003333f,
    1.5414437f,  1.3890818f,  -0.8330456f, -0.7232268f, -0.0892763f, -0.6177131f, -1.6649141f,
    0.5874224f,  -0.0123363f, -2.2565133f, 0.0013665f,  0.0014814f,  -0.0712516f, 0.5965493f,
    0.0250619f,  -0.0182827f, 0.0166384f,  0.7442145f,  -1.3137770f, 1.2742906f,  0.0693115f,
    1.1589159f,  -0.8071321f, 0.0018577f,  2.2420495f,  -1.2559290f, -1.6131329f, 0.2940781f,
    1.7366908f,  -1.9893824f, 0.0426922f,  -0.2058709f, 1.2961858f,  1.9801001f,  -0.0682165f,
    -1.2197458f, 0.0001387f,  -1.5688200f, 0.0922962f,  -0.6831167f, -1.3015337f, -2.3187503f,
    -0.3461748f, 0.0701239f,  2.1047622f,  -0.0223131f, -0.0355213f, -1.4459648f, 0.2156440f,
    0.5203305f,  1.0398293f,  2.3957479f,  0.8444948f,  2.2885750f,  -0.3080544f, 0.2197553f,
    0.0476162f,  -1.2723041f, -2.3912316f, -0.1083489f, 0.2345940f,  0.2212714f,  1.0818831f,
    -0.5574377f, -1.8582713f, 0.0071558f,  -0.0001506f, 0.4672764f,  -0.3614720f, -0.0257733f,
    -0.0465306f, -0.0973319f, -1.5504375f, 0.6904746f,  0.0125897f,  -0.7880322f, -0.8399366f,
    -0.1683094f, -0.1875703f, 1.9394370f,  0.4556571f,  -0.0000083f, -0.0001891f, -0.0609965f,
    1.1310037f,  -0.0002859f, -0.3202861f, -0.0005618f, -1.9917512f, 1.8532299f,  0.2271620f,
    -0.0000000f, 1.2885894f,  0.5789837f,  -0.9860342f, 0.0488170f,  2.1171037f,  -0.0192891f,
    -0.0069415f, 0.8929750f,  -0.6549103f, 0.1742967f,  -0.1963855f, 0.3734551f,  -0.1487505f,
    -1.4898769f, 0.0033719f,  -1.1875146f, 1.7920914f,  -0.3011331f, -0.0293992f, 0.1995343f,
    -0.2867657f, 0.0005379f,  2.0216877f,  0.6766151f,  1.6108105f,  -1.2068174f, -0.0100415f,
    -0.3181189f, -0.4190294f, -0.0277120f, 1.5123277f,  0.2448803f,  -0.1919250f, -0.2084149f,
    1.1518807f,  1.1814448f,  -0.0006639f, -0.0197944f, 0.0584293f,  -0.4959774f, 0.6993049f,
    -1.1965794f, 0.5131164f,  1.1158372f,  0.0008074f,  -1.0164394f, -0.2958937f, -0.2741330f};

const FLOAT32 ia_cos_search_grid_inclinations_256[256] = {
    1.0000000f,  0.6802613f,  -0.9422258f, -0.1264519f, 0.1722664f,  -0.6756062f, 0.2979737f,
    0.9129441f,  0.0143406f,  -0.7837349f, -0.8144728f, -0.9515144f, 0.5575737f,  -0.8483394f,
    -0.1590900f, -0.8577781f, 0.4967648f,  0.0173885f,  0.4780325f,  0.0801831f,  0.8152759f,
    0.3006113f,  0.0689461f,  0.6087192f,  -0.7005821f, 0.2437579f,  0.2621809f,  0.2316271f,
    0.5032744f,  0.2209957f,  -0.8136749f, 0.4376863f,  0.3586592f,  -0.8536108f, 0.9710757f,
    0.6207819f,  0.0534795f,  0.8124873f,  -0.8340043f, 0.3482311f,  -0.1995748f, -0.4808154f,
    -0.6441494f, -0.1626030f, -0.4191006f, 0.6470769f,  -0.2309572f, 0.6293013f,  -0.6583271f,
    -0.0965769f, 0.4446661f,  0.1573351f,  0.6002032f,  -0.9909652f, 0.7899796f,  0.2151974f,
    -0.5504494f, -0.2934657f, -0.1338297f, 0.3432762f,  -0.7335008f, 0.0660800f,  -0.4570152f,
    0.9193743f,  0.4865108f,  -0.8448329f, -0.2590212f, 0.0903546f,  0.2736960f,  -0.5795750f,
    -0.7130655f, -0.9834680f, -0.1613878f, -0.0195890f, -0.9236917f, 0.7317499f,  -0.9479665f,
    -0.0678237f, -0.8373719f, -0.3714960f, -0.9791305f, 0.9739989f,  0.1035773f,  -0.9121608f,
    -0.0429833f, -0.5906734f, -0.5534889f, 0.4649260f,  0.6430897f,  0.2720009f,  0.6541611f,
    -0.7110747f, 0.8008465f,  -0.1410198f, -0.3349098f, 0.2164480f,  -0.5731771f, 0.2530061f,
    0.8151277f,  0.0541055f,  0.7774104f,  0.6652096f,  0.9701638f,  -0.0666558f, -0.9276218f,
    -0.0931925f, 0.1184022f,  0.8003050f,  -0.5810572f, 0.6258951f,  -0.2286867f, -0.8339315f,
    -0.6846525f, -0.3446397f, -0.9924084f, -0.6506655f, -0.1435412f, -0.6794951f, -0.8590602f,
    0.3472458f,  -0.4558324f, -0.0913697f, -0.5498515f, -0.2711152f, 0.4592404f,  0.8674120f,
    -0.4489555f, -0.5304970f, 0.5271135f,  0.4282958f,  0.3941185f,  -0.0918220f, -0.5567499f,
    0.4721614f,  -0.3486613f, -0.1594087f, -0.7245641f, 0.4439592f,  0.8839249f,  0.5348926f,
    0.6587806f,  -0.5396779f, -0.2625502f, 0.1047887f,  0.2949171f,  -0.3244121f, 0.0839262f,
    -0.7075911f, -0.7029402f, 0.4208172f,  -0.3430246f, 0.8030866f,  -0.3401692f, -0.1716606f,
    -0.3153929f, 0.0196370f,  0.9672991f,  -0.3887850f, 0.0660368f,  0.5568070f,  -0.3287726f,
    -0.3807382f, -0.8079821f, -0.5011662f, 0.6654626f,  0.7717881f,  -0.3997790f, 0.6300624f,
    -0.1131690f, 0.8897247f,  0.1857713f,  -0.9189170f, 0.1288311f,  0.1349844f,  -0.8655587f,
    0.8021981f,  0.0623757f,  0.0681609f,  0.7511664f,  0.5454569f,  0.2765250f,  -0.0562066f,
    -0.3881238f, -0.7895729f, 0.6522427f,  0.1265487f,  -0.3401851f, 0.2699926f,  -0.5175521f,
    -0.4765796f, -0.9141909f, -0.1911480f, 0.4797266f,  0.9192777f,  -0.5465025f, 0.8998504f,
    0.8884025f,  -0.2887036f, -0.4976815f, -0.6923959f, 0.3070812f,  0.7417521f,  0.7215123f,
    0.7886087f,  -0.6368887f, -0.2548336f, -0.3668708f, -0.9515165f, -0.2094411f, 0.6445660f,
    0.8048122f,  0.9077360f,  0.6687726f,  0.4881868f,  -0.3781354f, 0.3130776f,  0.4710368f,
    0.1624544f,  0.7977197f,  -0.0009804f, -0.2976954f, -0.5124146f, 0.0064473f,  0.3534433f,
    -0.5281485f, 0.6702078f,  -0.5002917f, -0.1231264f, 0.7429083f,  -0.7647254f, -0.4504333f,
    0.3388629f,  -0.0913320f, 0.3009068f,  -0.7337021f, 0.1524909f,  0.8978566f,  0.9735239f,
    0.3805292f,  -0.6396200f, 0.4836878f,  -0.1238422f, 0.3145207f,  -0.5924934f, 0.9078809f,
    -0.7407359f, 0.9087063f,  -0.9265420f, -0.7239038f, -0.2498689f, 0.1166816f,  -0.8419806f,
    0.4924769f,  0.5710540f,  0.9734360f,  -0.0296012f};
const FLOAT32 ia_cos_search_grid_inclinations_484[484] = {
    1.0000000f,  0.4848808f,  0.5819320f,  -0.9341225f, 0.0146132f,  0.8938430f,  -0.2272566f,
    0.1843402f,  -0.4989210f, 0.6394413f,  0.7013464f,  0.2756244f,  0.8196722f,  -0.8888281f,
    0.9394121f,  -0.7770920f, 0.8709997f,  0.9563759f,  -0.4198482f, 0.0946396f,  -0.3454748f,
    -0.4080739f, -0.0965516f, -0.4814207f, 0.4702954f,  0.6829672f,  -0.5594766f, 0.9846633f,
    -0.4728375f, 0.8859145f,  0.6092152f,  -0.1637156f, 0.6356760f,  -0.4398183f, -0.3357703f,
    0.3469153f,  0.2927073f,  0.4414223f,  0.2171383f,  -0.6230994f, -0.2395741f, 0.1244036f,
    0.5541318f,  -0.4787866f, -0.9817085f, -0.0791686f, 0.2714730f,  -0.0135211f, 0.1171018f,
    -0.6866989f, 0.8568514f,  0.3977591f,  -0.8013491f, -0.9855303f, 0.5908169f,  0.3636379f,
    0.5780527f,  0.9419059f,  0.8243936f,  -0.6568054f, -0.4756497f, 0.1545003f,  -0.8203252f,
    0.2653681f,  -0.2873356f, 0.0201730f,  0.5878571f,  -0.8742410f, -0.1716857f, -0.9301399f,
    0.4723538f,  0.2014198f,  0.3266968f,  -0.9869503f, 0.7756596f,  0.5278454f,  0.7982313f,
    0.1790030f,  -0.9590222f, 0.6744544f,  -0.1551356f, -0.8174980f, 0.4583701f,  -0.3983661f,
    0.1636868f,  0.1796572f,  0.4380525f,  0.5177930f,  0.1603756f,  0.2897525f,  0.7183967f,
    0.4947293f,  0.4610683f,  -0.4967415f, -0.6080729f, -0.6959697f, 0.9550106f,  0.1217869f,
    -0.1826943f, -0.7224356f, 0.4816753f,  -0.8142178f, -0.7625144f, 0.0428495f,  -0.1823100f,
    -0.1000223f, -0.6799638f, -0.6162154f, -0.9402175f, 0.4895603f,  -0.3111330f, 0.6765771f,
    -0.4899507f, 0.3723897f,  -0.3324941f, -0.8913170f, -0.2000446f, -0.3284016f, -0.7179169f,
    -0.8980892f, -0.4117386f, 0.7151386f,  -0.9468673f, -0.0592455f, 0.1634065f,  0.8101550f,
    -0.7310933f, 0.4512980f,  -0.9531703f, -0.8328389f, -0.7982443f, -0.8133218f, -0.8913907f,
    -0.6950530f, -0.1141014f, -0.5653969f, 0.7608120f,  -0.4786638f, -0.7055456f, 0.2734211f,
    0.1229428f,  0.2460871f,  0.7228139f,  0.5869662f,  0.4618559f,  -0.9439065f, -0.0543206f,
    0.2813034f,  0.8312150f,  0.1449923f,  0.1556622f,  0.3600362f,  0.5401210f,  0.0306786f,
    0.0186020f,  -0.3367263f, 0.8949435f,  -0.5649937f, 0.9535497f,  -0.9870196f, -0.8201168f,
    -0.5453153f, -0.8848661f, -0.2887641f, 0.6258905f,  -0.3982023f, -0.4938892f, 0.5322857f,
    0.2651609f,  -0.0192890f, -0.4864340f, 0.0317293f,  0.9382991f,  0.1355480f,  -0.3609053f,
    -0.1203359f, -0.9546975f, 0.1385307f,  -0.1246878f, 0.5944646f,  0.6837328f,  -0.3272396f,
    -0.2722551f, -0.9580750f, -0.3274554f, -0.0284366f, 0.4529508f,  -0.6063071f, -0.1302733f,
    -0.9035793f, -0.2075600f, -0.7959878f, 0.4190264f,  0.9011761f,  0.2666275f,  0.0125995f,
    -0.1089218f, -0.1520068f, -0.7190708f, -0.8753850f, -0.8969055f, -0.8719998f, 0.7549908f,
    0.4350744f,  -0.6329888f, 0.1138075f,  0.0853727f,  -0.7067208f, -0.5836979f, -0.2530496f,
    0.2241148f,  -0.9998654f, 0.5491764f,  -0.2633211f, -0.2478718f, 0.8911416f,  -0.5926814f,
    0.7937900f,  -0.9440655f, -0.3637108f, -0.1889869f, 0.4337934f,  0.7241537f,  0.3386330f,
    -0.7374886f, 0.2433805f,  0.7110457f,  0.1501063f,  -0.9009701f, 0.5516211f,  -0.5725242f,
    -0.4631672f, -0.3140564f, 0.6304462f,  -0.0105036f, 0.9849648f,  0.8993607f,  0.5981283f,
    -0.2332327f, -0.1910846f, 0.8885930f,  -0.8589743f, -0.8137697f, 0.4348154f,  0.9564420f,
    -0.7721654f, 0.6294777f,  -0.3034289f, -0.7020696f, -0.3316950f, 0.0348501f,  -0.0500208f,
    -0.0070000f, -0.0433105f, 0.8002524f,  -0.4695132f, -0.7047769f, 0.5673323f,  0.1105357f,
    -0.9573018f, 0.4260169f,  -0.5493930f, 0.3135401f,  0.7057579f,  0.7312800f,  0.1474221f,
    0.6265909f,  0.8956283f,  0.5602730f,  -0.6492623f, 0.9401206f,  0.8296776f,  0.0508212f,
    -0.8588972f, 0.6114402f,  0.3045835f,  -0.7967794f, -0.8268358f, 0.9855244f,  -0.7256541f,
    -0.3058158f, -0.2556829f, -0.5951571f, -0.4581902f, -0.1630303f, -0.6172897f, 0.8015455f,
    0.4574579f,  0.3687571f,  0.3226349f,  -0.0221456f, -0.0649413f, -0.6058975f, -0.5570990f,
    0.9407063f,  -0.8168093f, 0.5894674f,  0.0802825f,  -0.8997254f, 0.8997029f,  0.0097707f,
    -0.1858829f, 0.8046422f,  0.1991683f,  -0.8169647f, -0.5226858f, -0.6485576f, -0.4608059f,
    -0.7091622f, 0.1911713f,  -0.3100752f, 0.8568400f,  -0.8053694f, 0.3951068f,  -0.8470178f,
    -0.1326155f, -0.4063569f, -0.3214305f, 0.5099768f,  0.3269897f,  -0.0249141f, -0.3321916f,
    -0.6850139f, 0.7064169f,  0.1717438f,  -0.4749009f, -0.4195886f, 0.2950913f,  -0.9000933f,
    0.0499185f,  -0.6040718f, -0.6168721f, 0.3375095f,  -0.1950926f, -0.2888950f, 0.9377903f,
    -0.3249048f, -0.1451632f, -0.0827287f, 0.5293890f,  -0.2038873f, 0.8123657f,  -0.4405720f,
    0.7239883f,  -0.5469803f, -0.0461805f, 0.7412364f,  0.7117357f,  0.4938340f,  0.8038199f,
    -0.3484835f, 0.0283211f,  0.5245979f,  -0.2629379f, 0.4284520f,  -0.6634431f, -0.9023594f,
    -0.2702528f, 0.0188394f,  0.2385048f,  0.3963938f,  -0.4525311f, 0.8626189f,  -0.4851553f,
    -0.0517587f, -0.4624064f, -0.7280682f, 0.3219977f,  0.9847478f,  -0.3012898f, -0.8766999f,
    0.5833956f,  0.7647027f,  0.8908708f,  0.4561171f,  0.0490298f,  -0.5640178f, -0.2237369f,
    0.8004766f,  -0.9856682f, -0.5529887f, 0.9846697f,  0.8985456f,  0.6097327f,  0.2155154f,
    0.2377635f,  -0.6023113f, -0.8208774f, 0.3092390f,  0.0835855f,  -0.1628815f, 0.5510365f,
    0.1187591f,  0.0920568f,  -0.7816597f, -0.0352382f, -0.7418253f, -0.3289710f, 0.7418172f,
    -0.3959431f, 0.6922529f,  -0.0247148f, -0.5969378f, 0.2807648f,  0.7762878f,  0.7196659f,
    -0.6844999f, 0.8170906f,  -0.4371472f, -0.0187517f, -0.9440314f, 0.4043647f,  0.4282452f,
    0.1814010f,  0.9563874f,  0.4863747f,  0.8981316f,  0.6742061f,  -0.9818536f, 0.3792723f,
    0.1071758f,  0.3955242f,  -0.1728345f, 0.3679473f,  0.7496358f,  0.3263156f,  -0.2783623f,
    -0.6934632f, -0.1294761f, -0.1708725f, 0.1892613f,  -0.6167199f, -0.5757143f, -0.6008744f,
    -0.0801220f, 0.8651251f,  0.4520198f,  -0.0140777f, 0.0817778f,  -0.1882644f, 0.2067920f,
    0.5909265f,  -0.0909279f, 0.8721557f,  0.3373836f,  0.0457096f,  0.3224154f,  0.6808805f,
    0.3137897f,  0.9851097f,  -0.3466584f, 0.3178404f,  0.1790792f,  0.5439234f,  -0.7569278f,
    -0.1221902f, -0.1482041f, 0.8138837f,  -0.4602715f, -0.4516976f, -0.6822823f, 0.9520397f,
    0.8073518f,  0.1981749f,  0.2934406f,  0.6688182f,  -0.3909298f, -0.3187348f, -0.5136033f,
    -0.4139548f, 0.0254677f,  0.6836040f,  0.6965097f,  0.8250226f,  -0.7754489f, -0.1131823f,
    -0.1818054f, 0.5926512f,  0.6495030f,  -0.5758913f, -0.4545245f, 0.0163501f,  -0.7176514f,
    -0.7347699f};
const FLOAT32 ia_cos_search_grid_inclinations_900[900] = {
    1.0000000f,  -0.0777499f, 0.0526218f,  -0.0005820f, 0.3274232f,  0.6234937f,  0.0032787f,
    0.2579126f,  -0.6283513f, -0.1041381f, -0.5093316f, -0.9164637f, -0.8959890f, 0.8355633f,
    0.9043055f,  -0.2225278f, 0.4153333f,  0.9069012f,  -0.2149266f, -0.9540132f, -0.1473018f,
    0.0457951f,  -0.0474980f, 0.5272308f,  0.1600711f,  0.8057473f,  -0.7242209f, -0.2764046f,
    0.6735003f,  0.9768018f,  0.9481589f,  0.4275387f,  0.0004832f,  -0.4571271f, 0.1188740f,
    -0.3662427f, -0.1641082f, 0.9060378f,  0.7832049f,  0.2434424f,  -0.0095136f, 0.3730259f,
    0.5834712f,  -0.5564085f, -0.4178347f, -0.3866363f, -0.4502065f, -0.2621043f, 0.3781751f,
    0.6430992f,  0.1608957f,  -0.6114100f, -0.3811756f, 0.0009168f,  0.4028594f,  0.8507839f,
    -0.9191628f, 0.1501443f,  -0.8122661f, 0.0182914f,  0.0890328f,  -0.0068597f, 0.9286828f,
    0.5429809f,  0.7893766f,  0.0222936f,  -0.3324458f, 0.2718389f,  0.5363509f,  -0.2802142f,
    -0.4766687f, -0.1539245f, 0.0527724f,  -0.8209462f, 0.9757022f,  0.6385289f,  0.3505329f,
    0.3409642f,  0.9903757f,  -0.7981202f, -0.8625727f, 0.5276745f,  -0.3855969f, -0.3746098f,
    0.0899796f,  0.3740821f,  -0.9655187f, -0.2666128f, 0.8858188f,  -0.6405224f, -0.6212088f,
    -0.8997699f, 0.7806767f,  -0.7674550f, 0.6892554f,  0.4696938f,  0.9453426f,  -0.0970502f,
    -0.4192532f, -0.7424411f, 0.5663989f,  -0.3658695f, 0.5956691f,  -0.0290755f, -0.0412376f,
    -0.4616191f, -0.2571053f, -0.1090795f, 0.5336942f,  -0.9770053f, -0.9196326f, 0.8427714f,
    -0.0677976f, 0.9647269f,  0.9467974f,  0.5997275f,  0.4162672f,  -0.4766353f, -0.6067549f,
    -0.7399056f, 0.6328409f,  -0.1093421f, 0.8526393f,  -0.7422653f, -0.5898714f, 0.1765384f,
    -0.1930928f, -0.9422115f, 0.1403854f,  0.7559534f,  0.5406580f,  0.3755248f,  -0.0577179f,
    0.9247192f,  -0.9241536f, 0.4446802f,  -0.1795017f, -0.1679585f, 0.4586700f,  0.5809346f,
    0.8499265f,  0.1096152f,  -0.5247467f, -0.8606247f, 0.0028431f,  -0.5217094f, -0.3246587f,
    -0.2346380f, 0.4515201f,  0.4861353f,  0.8964383f,  0.1120220f,  -0.7791607f, 0.1852020f,
    0.1912567f,  -0.4835226f, 0.2184920f,  -0.6479756f, 0.1871851f,  -0.3231339f, -0.5108221f,
    -0.9723513f, -0.9516203f, 0.0067531f,  0.0083474f,  0.4987541f,  0.0312523f,  -0.1858266f,
    -0.4044266f, -0.8882107f, 0.5858802f,  0.8627580f,  -0.5166730f, -0.4226462f, 0.8730482f,
    0.8456843f,  0.3387246f,  -0.6622969f, 0.4158355f,  0.9059394f,  0.0398471f,  -0.4291609f,
    0.3436227f,  -0.7815978f, 0.0080012f,  -0.9181364f, 0.8008943f,  -0.5597447f, 0.2285343f,
    0.9677438f,  -0.5453831f, 0.1889837f,  0.9430364f,  -0.3084915f, -0.6057247f, -0.7068375f,
    0.9421961f,  0.7618268f,  -0.7260129f, 0.2165497f,  0.3350772f,  0.7034994f,  -0.5562814f,
    -0.3170778f, -0.8886972f, 0.9334294f,  0.3938585f,  -0.5361769f, -0.2618084f, 0.6772522f,
    -0.7227091f, 0.8730976f,  0.8961873f,  0.4162853f,  0.4578583f,  -0.3410910f, -0.3649473f,
    0.6145447f,  -0.5246175f, 0.7496868f,  -0.2000381f, -0.7279188f, 0.6680093f,  -0.1341849f,
    -0.4087244f, 0.3628029f,  -0.3602380f, 0.7823458f,  -0.0795715f, 0.5237962f,  0.4202059f,
    0.5152342f,  0.1052535f,  0.4304791f,  -0.1104692f, 0.1141047f,  0.7897943f,  0.5792526f,
    0.6340093f,  -0.1332536f, -0.2883848f, -0.0440398f, -0.5214990f, -0.7038020f, 0.4087374f,
    -0.8382534f, 0.2414913f,  -0.6346081f, -0.2188131f, 0.0726189f,  0.8239922f,  0.3272305f,
    0.9044986f,  -0.2682281f, 0.8494378f,  0.2625487f,  0.0943380f,  -0.0356066f, 0.2993574f,
    -0.6424244f, -0.7896339f, -0.8493324f, 0.4415484f,  0.3863243f,  0.4829515f,  0.4413675f,
    0.6307472f,  0.7847643f,  -0.7590157f, 0.3327786f,  -0.1225086f, 0.3406187f,  -0.5897520f,
    -0.3252738f, 0.6225837f,  0.2029839f,  0.0402104f,  0.3052424f,  -0.6013329f, -0.2861520f,
    -0.5005676f, -0.7146085f, -0.2431446f, -0.6791549f, 0.1090327f,  -0.5830910f, 0.7171725f,
    0.0362886f,  0.5415482f,  0.2606876f,  -0.2483818f, 0.6939966f,  -0.0428531f, 0.3286537f,
    -0.2927079f, -0.1597235f, 0.7174830f,  0.1052048f,  0.5254177f,  0.1771515f,  0.9442464f,
    0.1092885f,  0.6441202f,  -0.2344886f, -0.8003887f, 0.6813135f,  0.6007514f,  0.8493028f,
    -0.4094681f, -0.1082668f, -0.3731345f, -0.2083879f, -0.2941873f, -0.2088726f, 0.1179949f,
    -0.4274894f, -0.6845252f, 0.4077984f,  0.7275305f,  -0.3919045f, -0.4257484f, -0.9575345f,
    0.6181763f,  0.0877566f,  -0.8710857f, 0.1495838f,  -0.1431799f, 0.2281938f,  0.8125567f,
    0.6709302f,  -0.9959880f, -0.4576103f, 0.6986711f,  -0.9143297f, -0.8625691f, 0.0644711f,
    -0.3914013f, -0.8184276f, -0.1012788f, -0.7756911f, 0.0414393f,  -0.9367719f, -0.7952658f,
    -0.0203947f, 0.5410322f,  0.7903763f,  0.4364943f,  0.8942632f,  -0.4399055f, 0.8271174f,
    -0.2867737f, 0.4426414f,  0.4183023f,  -0.5551606f, 0.3070794f,  -0.0963263f, 0.5224993f,
    -0.3196696f, -0.5481960f, 0.7148334f,  0.2260739f,  0.9657742f,  0.9915745f,  -0.1806641f,
    0.1061997f,  -0.6618188f, 0.1159001f,  0.9742646f,  -0.6750256f, -0.5673399f, -0.8052204f,
    0.5466251f,  0.3369288f,  0.2039282f,  0.3276558f,  0.4046432f,  -0.3521921f, -0.6161259f,
    0.7150356f,  0.6230042f,  0.1274188f,  -0.2176519f, -0.3574783f, -0.4481235f, 0.6941589f,
    -0.9456144f, -0.7316688f, 0.6667475f,  -0.6991041f, -0.1429060f, -0.3256732f, -0.5077284f,
    -0.6498552f, 0.1771970f,  0.8548623f,  -0.2939305f, 0.8077892f,  -0.8346724f, -0.0996678f,
    0.2711695f,  0.7052296f,  -0.2540649f, -0.9110013f, 0.5975711f,  0.6384084f,  -0.7946794f,
    -0.9687653f, -0.8853073f, 0.5691619f,  -0.2811101f, -0.0807373f, 0.3003974f,  -0.4254951f,
    0.2225318f,  0.8903312f,  -0.6963999f, 0.5728492f,  0.1709601f,  0.0022649f,  -0.1175499f,
    -0.5560211f, 0.4402084f,  -0.3058790f, -0.4122818f, 0.4379012f,  0.4524336f,  -0.7041390f,
    -0.4523439f, -0.7876665f, -0.8157158f, 0.2782781f,  0.0401664f,  -0.4126766f, 0.1882829f,
    0.4183234f,  -0.8746837f, 0.2192220f,  -0.9825320f, 0.1176326f,  0.9278168f,  -0.5806517f,
    -0.6569863f, 0.7202570f,  0.2126205f,  -0.8083436f, -0.9273765f, 0.7042204f,  -0.2951300f,
    -0.4371477f, -0.8502112f, -0.6470805f, 0.2951897f,  -0.4900170f, 0.9360140f,  0.7242071f,
    -0.8102910f, 0.6230488f,  -0.6651421f, -0.2083122f, -0.6944994f, 0.0207222f,  -0.0512378f,
    -0.8065047f, -0.8271702f, -0.1786430f, -0.4490833f, -0.5216699f, -0.0653493f, -0.9070170f,
    0.3350928f,  0.8691878f,  0.6312941f,  0.5608956f,  -0.1762249f, -0.3406817f, -0.7011101f,
    0.1163226f,  0.5287328f,  -0.0337958f, 0.1045943f,  0.5334095f,  -0.5645471f, 0.8570426f,
    0.5243326f,  0.9689426f,  0.5922982f,  -0.7383156f, -0.2853849f, 0.2250369f,  -0.1191972f,
    0.3624972f,  -0.1056201f, -0.7393124f, -0.4828188f, 0.4641177f,  -0.7842215f, -0.4814048f,
    0.8285651f,  0.2215055f,  -0.1261253f, -0.7888321f, 0.8415657f,  -0.7286132f, -0.3018688f,
    -0.4022866f, 0.3843097f,  0.5549538f,  0.2237549f,  -0.6619427f, -0.7490551f, 0.5003346f,
    -0.0154612f, 0.5992974f,  -0.4817254f, 0.7587240f,  -0.1787426f, -0.6051638f, -0.1760842f,
    0.7236995f,  0.1333379f,  0.6292802f,  -0.0122218f, -0.4654783f, -0.3287298f, -0.9564257f,
    0.6983258f,  0.6963080f,  0.4914059f,  -0.0834920f, 0.9701086f,  0.5329659f,  0.7845861f,
    0.2511586f,  -0.0717745f, -0.3270343f, -0.7233149f, 0.2319548f,  -0.9103115f, 0.2190215f,
    0.0899796f,  -0.7658308f, 0.2447729f,  0.3295580f,  -0.2339102f, 0.7286886f,  0.0062552f,
    0.9271313f,  -0.9992258f, 0.3003746f,  -0.1031534f, -0.5467982f, 0.7322259f,  0.9255216f,
    -0.9937724f, -0.6547491f, -0.6722643f, 0.8757993f,  -0.6579756f, -0.7903328f, -0.6894084f,
    0.7118562f,  -0.1930895f, 0.1355974f,  0.9735284f,  -0.1972568f, -0.5794895f, -0.4974331f,
    0.6372694f,  0.4976300f,  0.0482632f,  0.2566606f,  -0.5937115f, 0.0126552f,  -0.1178216f,
    0.5464150f,  -0.2454237f, 0.4518791f,  0.3386226f,  -0.3695196f, 0.8957500f,  -0.5830717f,
    0.8886458f,  -0.0658111f, 0.3560943f,  -0.1363405f, 0.3563972f,  0.7130400f,  0.4564589f,
    0.9061245f,  -0.4831279f, 0.1774392f,  0.7760812f,  0.3387734f,  0.0070104f,  0.1116499f,
    -0.9118537f, -0.3976082f, 0.0164876f,  -0.2043556f, -0.8944009f, -0.4426561f, -0.1582873f,
    -0.3734503f, 0.0462314f,  -0.4447661f, -0.4854163f, 0.4965456f,  -0.8586320f, -0.5030691f,
    0.9318465f,  0.3497221f,  -0.0798935f, 0.7193045f,  0.2306917f,  0.6127510f,  -0.3111227f,
    -0.8881250f, -0.9416693f, 0.4764702f,  0.2936227f,  -0.7405463f, 0.0932644f,  0.8806610f,
    -0.5358300f, 0.9437139f,  0.3932937f,  -0.1726805f, 0.5228253f,  -0.3219420f, -0.9894177f,
    0.3262911f,  0.1326352f,  0.3069439f,  0.7671372f,  0.6209540f,  -0.1014472f, -0.2699681f,
    0.8407183f,  0.2156258f,  -0.3146535f, 0.0644032f,  -0.2009026f, -0.7443838f, -0.9731111f,
    -0.5727769f, 0.8725765f,  -0.3942953f, 0.6776807f,  -0.3333680f, -0.9339868f, -0.6166225f,
    -0.5177509f, -0.4792549f, 0.1230156f,  0.5701596f,  -0.9168890f, 0.2337467f,  -0.7570523f,
    -0.8749652f, 0.7605962f,  -0.9772862f, 0.6332554f,  -0.7304487f, -0.1068326f, 0.7033206f,
    0.8341078f,  0.1868839f,  -0.9435414f, 0.9539649f,  0.7500166f,  0.7553765f,  0.0117101f,
    0.5716676f,  -0.7470117f, 0.5451140f,  0.2304796f,  0.7409662f,  0.4770387f,  -0.2491298f,
    -0.4073506f, -0.2094071f, 0.5121657f,  0.4289262f,  -0.1562188f, -0.3451831f, -0.7790613f,
    0.4191292f,  0.5070187f,  0.8318729f,  0.1529771f,  0.7881391f,  0.0043668f,  0.4427272f,
    0.6291263f,  -0.6666798f, -0.0779425f, -0.5210630f, 0.1353097f,  0.8349291f,  -0.2147580f,
    -0.1560578f, -0.3059501f, 0.2494303f,  -0.3210435f, 0.6635527f,  -0.4954937f, 0.7563723f,
    0.7694240f,  -0.0937000f, 0.7722290f,  0.1071836f,  0.3124124f,  -0.2463009f, 0.3048692f,
    0.1347324f,  -0.0338375f, -0.1363702f, 0.4360015f,  -0.5406618f, -0.6403487f, -0.5811583f,
    -0.4640277f, -0.3898194f, -0.8457037f, 0.7153734f,  -0.6143622f, -0.2133764f, 0.2317179f,
    -0.9946970f, -0.5833543f, -0.9563865f, -0.2549641f, 0.6365689f,  -0.3701648f, 0.7718535f,
    -0.8111564f, -0.8617567f, -0.4344559f, 0.9919107f,  0.7780643f,  -0.5231377f, -0.1120306f,
    -0.8008784f, 0.0009382f,  -0.8966445f, -0.6168817f, 0.8195923f,  0.8947587f,  -0.7657550f,
    0.8985985f,  0.5262204f,  -0.7777332f, -0.1922826f, -0.9882806f, 0.4137217f,  -0.9597411f,
    0.8056801f,  -0.4096301f, -0.5906700f, -0.6073749f, 0.9931713f,  -0.2958238f, -0.6664574f,
    0.7624463f,  -0.4736319f, 0.5528936f,  0.8394714f,  -0.6159867f, 0.2105046f,  0.3872059f,
    -0.6975757f, -0.5630180f, 0.2610011f,  0.2773649f,  -0.8606922f, -0.5897336f, -0.7141907f,
    -0.0850809f, 0.9650125f,  0.2184632f,  -0.4089183f, 0.9828887f,  -0.8327926f, -0.9829061f,
    0.3377618f,  0.7094152f,  -0.2567697f, 0.6281400f,  0.6766760f,  0.4971440f,  -0.8567303f,
    0.4618347f,  -0.8286906f, -0.8606839f, -0.2207464f, 0.6018557f,  -0.6544228f, 0.0181901f,
    -0.8691337f, 0.9425833f,  -0.7431019f, -0.9380312f, 0.2344366f,  -0.0604507f, -0.6535503f,
    0.9411815f,  0.4579342f,  -0.6274192f, 0.9005080f,  -0.3687817f, 0.4395936f,  -0.6774347f,
    -0.0360311f, 0.8062625f,  -0.9493252f, 0.3104179f,  -0.2098199f, 0.0314736f,  -0.8398030f,
    0.1040294f,  -0.0752869f, 0.6679837f,  -0.6057011f, -0.9146346f, 0.7839176f,  -0.6887975f,
    0.3161980f,  -0.8405364f, -0.8675118f, 0.2967343f,  0.1078905f,  0.6363528f,  -0.3881839f,
    0.6017493f,  0.5479173f,  0.2449809f,  -0.5082836f, 0.3030228f,  0.3609684f,  -0.9573744f,
    -0.4199204f, -0.0873371f, 0.8307529f,  0.8051036f,  -0.1984785f, -0.2278194f, -0.9836125f,
    -0.4968476f, 0.4961405f,  -0.7445105f, -0.8251084f, 0.9749507f,  -0.6895711f, 0.8484788f,
    0.3556636f,  0.3419950f,  0.0490949f,  -0.8562630f, 0.2123621f,  0.6748844f,  0.1091486f,
    0.9011806f,  0.9898351f,  0.0018331f,  -0.5234078f, -0.1455214f, 0.7681821f,  0.1523383f,
    -0.0375694f, 0.1352523f,  0.5409392f,  -0.7038135f, 0.9931890f,  -0.3392095f, 0.2576679f,
    0.0901537f,  -0.2780497f, -0.7883309f, -0.3449496f, 0.6911601f,  -0.0174251f, 0.4444459f,
    -0.9755575f, 0.2141301f,  -0.5671831f, -0.6478622f, 0.1228781f,  0.0628866f,  0.6337511f,
    0.3305977f,  -0.4984813f, -0.5606665f, 0.4688706f,  -0.0063893f, -0.2027054f, -0.1226269f,
    0.5406220f,  -0.8764905f, -0.8985789f, 0.1349167f};
const FLOAT32 *ia_hoa_cos_search_grid_inclinations[3] = {
    &ia_cos_search_grid_inclinations_256[0], &ia_cos_search_grid_inclinations_484[0],
    &ia_cos_search_grid_inclinations_900[0],
};

const FLOAT32 ia_sin_search_grid_inclinations_256[256] = {
    0.0000000f, 0.7329696f, 0.3349783f, 0.9919727f, 0.9850503f, 0.7372626f, 0.9545740f,
    0.4080845f, 0.9998971f, 0.6210954f, 0.5802015f, 0.3076041f, 0.8301274f, 0.5294527f,
    0.9872640f, 0.5140200f, 0.8678851f, 0.9998488f, 0.8783421f, 0.9967801f, 0.5790725f,
    0.9537467f, 0.9976203f, 0.7933856f, 0.7135717f, 0.9698360f, 0.9650187f, 0.9728046f,
    0.8641266f, 0.9752747f, 0.5813201f, 0.8991277f, 0.9334685f, 0.5209113f, 0.2387717f,
    0.7839832f, 0.9985689f, 0.5829787f, 0.5517578f, 0.9374086f, 0.9798825f, 0.8768218f,
    0.7648996f, 0.9866915f, 0.9079397f, 0.7624247f, 0.9729639f, 0.7771614f, 0.7527318f,
    0.9953255f, 0.8956963f, 0.9875452f, 0.7998475f, 0.1341190f, 0.6131331f, 0.9765705f,
    0.8348684f, 0.9559695f, 0.9910043f, 0.9392345f, 0.6796884f, 0.9978143f, 0.8894588f,
    0.3933838f, 0.8736745f, 0.5350301f, 0.9658716f, 0.9959096f, 0.9618162f, 0.8149188f,
    0.7010974f, 0.1810817f, 0.9868910f, 0.9998081f, 0.3831365f, 0.6815731f, 0.3183698f,
    0.9976973f, 0.5466335f, 0.9284345f, 0.2032321f, 0.2265523f, 0.9946213f, 0.4098324f,
    0.9990757f, 0.8069106f, 0.8328564f, 0.8853495f, 0.7657907f, 0.9622969f, 0.7563551f,
    0.7031164f, 0.5988695f, 0.9900067f, 0.9422501f, 0.9762941f, 0.8194315f, 0.9674646f,
    0.5792812f, 0.9985352f, 0.6289936f, 0.7466566f, 0.2424502f, 0.9977760f, 0.3735206f,
    0.9956481f, 0.9929657f, 0.5995931f, 0.8138626f, 0.7799072f, 0.9735000f, 0.5518678f,
    0.7288695f, 0.9387350f, 0.1229855f, 0.7593644f, 0.9896443f, 0.7336799f, 0.5118744f,
    0.9377741f, 0.8900656f, 0.9958170f, 0.8352624f, 0.9625469f, 0.8883119f, 0.4975906f,
    0.8935540f, 0.8476867f, 0.8497948f, 0.9036385f, 0.9190595f, 0.9957754f, 0.8306801f,
    0.8815120f, 0.9372487f, 0.9872126f, 0.6892073f, 0.8960469f, 0.4676288f, 0.8449199f,
    0.7523350f, 0.8418715f, 0.9649183f, 0.9944945f, 0.9555228f, 0.9459158f, 0.9964719f,
    0.7066220f, 0.7112488f, 0.9071454f, 0.9393263f, 0.5958622f, 0.9403642f, 0.9851561f,
    0.9489611f, 0.9998071f, 0.2536381f, 0.9213284f, 0.9978171f, 0.8306418f, 0.9444090f,
    0.9246828f, 0.5892069f, 0.8653510f, 0.7464311f, 0.6358797f, 0.9166115f, 0.7765444f,
    0.9935757f, 0.4564973f, 0.9825929f, 0.3944507f, 0.9916665f, 0.9908477f, 0.5008073f,
    0.5970578f, 0.9980527f, 0.9976743f, 0.6601128f, 0.8381388f, 0.9610067f, 0.9984191f,
    0.9216072f, 0.6136567f, 0.7580101f, 0.9919603f, 0.9403584f, 0.9628623f, 0.8556516f,
    0.8791312f, 0.4052837f, 0.9815612f, 0.8774180f, 0.3936095f, 0.8374574f, 0.4361984f,
    0.4590651f, 0.9574185f, 0.8673598f, 0.7215177f, 0.9516833f, 0.6706740f, 0.6924016f,
    0.6148953f, 0.7709557f, 0.9669849f, 0.9302718f, 0.3075974f, 0.9778212f, 0.7645486f,
    0.5935295f, 0.4195417f, 0.7434669f, 0.8727391f, 0.9257502f, 0.9497275f, 0.8821135f,
    0.9867160f, 0.6030284f, 0.9999995f, 0.9546608f, 0.8587381f, 0.9999792f, 0.9354559f,
    0.8491519f, 0.7421734f, 0.8658569f, 0.9923909f, 0.6693930f, 0.6443562f, 0.8928100f,
    0.9408357f, 0.9958204f, 0.9536535f, 0.6794712f, 0.9883048f, 0.4402879f, 0.2285850f,
    0.9247688f, 0.7686912f, 0.8752405f, 0.9923019f, 0.9492505f, 0.8055752f, 0.4192279f,
    0.6717962f, 0.4174360f, 0.3761912f, 0.6899009f, 0.9682796f, 0.9931693f, 0.5395077f,
    0.8703254f, 0.8209124f, 0.2289589f, 0.9995617f};
const FLOAT32 ia_sin_search_grid_inclinations_484[484] = {
    0.0000000f, 0.8745802f, 0.8132373f, 0.3569524f, 0.9998932f, 0.4483800f, 0.9738349f,
    0.9828624f, 0.8666474f, 0.7688398f, 0.7128205f, 0.9612653f, 0.5728327f, 0.4582406f,
    0.3427897f, 0.6293869f, 0.4912835f, 0.2921386f, 0.9075943f, 0.9955115f, 0.9384280f,
    0.9129488f, 0.9953279f, 0.8764896f, 0.8825090f, 0.7304490f, 0.8288460f, 0.1744651f,
    0.8811496f, 0.4638483f, 0.7930049f, 0.9865075f, 0.7719559f, 0.8980867f, 0.9419438f,
    0.9378964f, 0.9562020f, 0.8972994f, 0.9761408f, 0.7821426f, 0.9708780f, 0.9922316f,
    0.8324289f, 0.8779312f, 0.1903901f, 0.9968612f, 0.9624460f, 0.9999085f, 0.9931199f,
    0.7269419f, 0.5155634f, 0.9174898f, 0.5981969f, 0.1694993f, 0.8068056f, 0.9315403f,
    0.8159993f, 0.3358767f, 0.5660168f, 0.7540600f, 0.8796347f, 0.9879927f, 0.5718972f,
    0.9641471f, 0.9578299f, 0.9997965f, 0.8089647f, 0.4854920f, 0.9851517f, 0.3672051f,
    0.8814089f, 0.9795050f, 0.9451291f, 0.1610246f, 0.6311513f, 0.8493404f, 0.6023510f,
    0.9838485f, 0.2833307f, 0.7383164f, 0.9878931f, 0.5759313f, 0.8887613f, 0.9172264f,
    0.9865123f, 0.9837292f, 0.8989493f, 0.8555058f, 0.9870560f, 0.9571016f, 0.6956335f,
    0.8690471f, 0.8873646f, 0.8678985f, 0.7938811f, 0.7180711f, 0.2965715f, 0.9925562f,
    0.9831697f, 0.6914381f, 0.8763497f, 0.5805594f, 0.6469711f, 0.9990815f, 0.9832410f,
    0.9949851f, 0.7332456f, 0.7875776f, 0.3405743f, 0.8719694f, 0.9503663f, 0.7363717f,
    0.8717501f, 0.9280764f, 0.9431053f, 0.4533806f, 0.9797867f, 0.9445381f, 0.6961287f,
    0.4398133f, 0.9113019f, 0.6989826f, 0.3216242f, 0.9982434f, 0.9865588f, 0.5862156f,
    0.6822774f, 0.8923732f, 0.3024337f, 0.5535154f, 0.6023336f, 0.5818140f, 0.4532357f,
    0.7189584f, 0.9934690f, 0.8248189f, 0.6489722f, 0.8779982f, 0.7086644f, 0.9618944f,
    0.9924137f, 0.9692477f, 0.6910427f, 0.8096113f, 0.8869549f, 0.3302126f, 0.9985235f,
    0.9596188f, 0.5559509f, 0.9894327f, 0.9878103f, 0.9329383f, 0.8415873f, 0.9995292f,
    0.9998269f, 0.9416025f, 0.4461794f, 0.8250951f, 0.3012356f, 0.1605996f, 0.5721961f,
    0.8382310f, 0.4658454f, 0.9574002f, 0.7799109f, 0.9172975f, 0.8695248f, 0.8465647f,
    0.9642041f, 0.9998139f, 0.8737173f, 0.9994964f, 0.3458247f, 0.9907707f, 0.9326024f,
    0.9927332f, 0.2975777f, 0.9903581f, 0.9921960f, 0.8041217f, 0.7297324f, 0.9449413f,
    0.9622250f, 0.2865173f, 0.9448666f, 0.9995955f, 0.8915354f, 0.7952305f, 0.9914781f,
    0.4284208f, 0.9782222f, 0.6053125f, 0.9079740f, 0.4334529f, 0.9637996f, 0.9999206f,
    0.9940503f, 0.9883794f, 0.6949367f, 0.4834263f, 0.4422222f, 0.4895061f, 0.6557353f,
    0.9003945f, 0.7741609f, 0.9935028f, 0.9963490f, 0.7074925f, 0.8119708f, 0.9674533f,
    0.9745627f, 0.0164019f, 0.8357064f, 0.9647082f, 0.9687928f, 0.4537252f, 0.8054369f,
    0.6081919f, 0.3297579f, 0.9315118f, 0.9819795f, 0.9010123f, 0.6896386f, 0.9409185f,
    0.6753595f, 0.9699308f, 0.7031457f, 0.9886698f, 0.4338810f, 0.8340947f, 0.8198878f,
    0.8862708f, 0.9494043f, 0.7762329f, 0.9999448f, 0.1727547f, 0.4372073f, 0.8014003f,
    0.9724209f, 0.9815735f, 0.4586964f, 0.5120185f, 0.5811873f, 0.9005195f, 0.2919223f,
    0.6354214f, 0.7770184f, 0.9528540f, 0.7121082f, 0.9433866f, 0.9993925f, 0.9987481f,
    0.9999754f, 0.9990616f, 0.5996632f, 0.8829254f, 0.7094289f, 0.8234888f, 0.9938721f,
    0.2890901f, 0.9047151f, 0.8355640f, 0.9495749f, 0.7084530f, 0.6820773f, 0.9890736f,
    0.7793483f, 0.4448032f, 0.8283079f, 0.7605644f, 0.3408419f, 0.5582427f, 0.9987077f,
    0.5121479f, 0.7912906f, 0.9524856f, 0.6042702f, 0.5624432f, 0.1695333f, 0.6880596f,
    0.9520906f, 0.9667606f, 0.8036093f, 0.8888541f, 0.9866210f, 0.7867358f, 0.5979337f,
    0.8892312f, 0.9295257f, 0.9465234f, 0.9997547f, 0.9978890f, 0.7955427f, 0.8304460f,
    0.3392218f, 0.5769076f, 0.8077921f, 0.9967721f, 0.4364563f, 0.4365027f, 0.9999522f,
    0.9825718f, 0.5937599f, 0.9799652f, 0.5766875f, 0.8525253f, 0.7611655f, 0.8875009f,
    0.7050453f, 0.9815566f, 0.9507120f, 0.5155823f, 0.5927732f, 0.9186351f, 0.5315643f,
    0.9911675f, 0.9137144f, 0.9469331f, 0.8601881f, 0.9450278f, 0.9996895f, 0.9432118f,
    0.7285299f, 0.7077959f, 0.9851416f, 0.8800392f, 0.9077143f, 0.9554690f, 0.4356971f,
    0.9987532f, 0.7969298f, 0.7870633f, 0.9413221f, 0.9807848f, 0.9573607f, 0.3472020f,
    0.9457467f, 0.9894077f, 0.9965721f, 0.8483791f, 0.9789943f, 0.5831482f, 0.8977172f,
    0.6898121f, 0.8371454f, 0.9989331f, 0.6712440f, 0.7024472f, 0.8695561f, 0.5948726f,
    0.9373148f, 0.9995988f, 0.8513500f, 0.9648127f, 0.9035645f, 0.7482266f, 0.4309842f,
    0.9627893f, 0.9998225f, 0.9711413f, 0.9180805f, 0.8917485f, 0.5058541f, 0.8744280f,
    0.9986596f, 0.8866680f, 0.6855046f, 0.9467404f, 0.1739874f, 0.9535325f, 0.4810375f,
    0.8121880f, 0.6443832f, 0.4542567f, 0.8899197f, 0.9987973f, 0.8257625f, 0.9746495f,
    0.5993638f, 0.1686953f, 0.8331887f, 0.1744292f, 0.4388799f, 0.7926070f, 0.9765004f,
    0.9713230f, 0.7982612f, 0.5711044f, 0.9509843f, 0.9965006f, 0.9866456f, 0.8344811f,
    0.9929230f, 0.9957537f, 0.6237051f, 0.9993789f, 0.6705931f, 0.9443400f, 0.6706021f,
    0.9182750f, 0.7216549f, 0.9996945f, 0.8022875f, 0.9597765f, 0.6303785f, 0.6943204f,
    0.7290129f, 0.5765092f, 0.8993899f, 0.9998241f, 0.3298553f, 0.9145978f, 0.9036625f,
    0.9834092f, 0.2921012f, 0.8737502f, 0.4397266f, 0.7385431f, 0.1896400f, 0.9252851f,
    0.9942400f, 0.9184555f, 0.9849508f, 0.9298466f, 0.6618505f, 0.9452608f, 0.9604761f,
    0.7204920f, 0.9915825f, 0.9852931f, 0.9819267f, 0.7871826f, 0.8176509f, 0.7993433f,
    0.9967850f, 0.5015560f, 0.8920078f, 0.9999009f, 0.9966505f, 0.9821183f, 0.9783849f,
    0.8067253f, 0.9958574f, 0.4892282f, 0.9413672f, 0.9989547f, 0.9465982f, 0.7323944f,
    0.9494925f, 0.1719268f, 0.9379914f, 0.9481442f, 0.9838346f, 0.8391348f, 0.6534984f,
    0.9925066f, 0.9889567f, 0.5810277f, 0.8877781f, 0.8921710f, 0.7310887f, 0.3059745f,
    0.5900703f, 0.9801666f, 0.9559772f, 0.7434259f, 0.9204204f, 0.9478439f, 0.8580277f,
    0.9102974f, 0.9996756f, 0.7298530f, 0.7175473f, 0.5650996f, 0.6314102f, 0.9935742f,
    0.9833345f, 0.8054592f, 0.7603589f, 0.8175262f, 0.8907342f, 0.9998663f, 0.6964025f,
    0.6783164f};
const FLOAT32 ia_sin_search_grid_inclinations_900[900] = {
    0.0000000f, 0.9969728f, 0.9986145f, 0.9999998f, 0.9448777f, 0.7818283f, 0.9999946f,
    0.9661682f, 0.7779296f, 0.9945628f, 0.8605703f, 0.4001176f, 0.4440761f, 0.5493941f,
    0.4268857f, 0.9749263f, 0.9096693f, 0.4213433f, 0.9766301f, 0.2997643f, 0.9890915f,
    0.9989508f, 0.9988713f, 0.8497221f, 0.9871054f, 0.5922594f, 0.6895679f, 0.9610413f,
    0.7391869f, 0.2141449f, 0.3177964f, 0.9039970f, 0.9999998f, 0.8894013f, 0.9929093f,
    0.9305193f, 0.9864423f, 0.4231966f, 0.6217636f, 0.9699153f, 0.9999547f, 0.9278209f,
    0.8121337f, 0.8309088f, 0.9085230f, 0.9222322f, 0.8929244f, 0.9650395f, 0.9257340f,
    0.7657828f, 0.9869714f, 0.7913139f, 0.9245026f, 0.9999995f, 0.9152618f, 0.5255155f,
    0.3938778f, 0.9886640f, 0.5832869f, 0.9998326f, 0.9960286f, 0.9999764f, 0.3708747f,
    0.8397450f, 0.6139092f, 0.9997514f, 0.9431223f, 0.9623427f, 0.8439950f, 0.9599374f,
    0.8790829f, 0.9880826f, 0.9986065f, 0.5710054f, 0.2191005f, 0.7695977f, 0.9365504f,
    0.9400762f, 0.1384047f, 0.6024981f, 0.5059331f, 0.8494466f, 0.9226673f, 0.9271825f,
    0.9959436f, 0.9273955f, 0.2603336f, 0.9638037f, 0.4640311f, 0.7679394f, 0.7836450f,
    0.4363644f, 0.6249350f, 0.6411028f, 0.7245183f, 0.8828293f, 0.3260787f, 0.9952794f,
    0.9078693f, 0.6699113f, 0.8241312f, 0.9306661f, 0.8032298f, 0.9995772f, 0.9991493f,
    0.8870782f, 0.9663833f, 0.9940330f, 0.8456775f, 0.2132145f, 0.3927795f, 0.5382715f,
    0.9976990f, 0.2632525f, 0.3218301f, 0.8002042f, 0.9092423f, 0.8791010f, 0.7948889f,
    0.6727106f, 0.7742818f, 0.9940041f, 0.5224999f, 0.6701060f, 0.8074971f, 0.9842937f,
    0.9811804f, 0.3350185f, 0.9900969f, 0.6546253f, 0.8412424f, 0.9268123f, 0.9983329f,
    0.3806499f, 0.3820210f, 0.8956893f, 0.9837576f, 0.9857940f, 0.8886066f, 0.8139502f,
    0.5269012f, 0.9939740f, 0.8512584f, 0.5092397f, 0.9999959f, 0.8531232f, 0.9458312f,
    0.9720828f, 0.8922609f, 0.8738835f, 0.4431684f, 0.9937057f, 0.6268242f, 0.9827004f,
    0.9815400f, 0.8753318f, 0.9758387f, 0.7616610f, 0.9823246f, 0.9463532f, 0.8596864f,
    0.2335225f, 0.3072761f, 0.9999771f, 0.9999651f, 0.8667434f, 0.9995115f, 0.9825825f,
    0.9145704f, 0.4594363f, 0.8103976f, 0.5056170f, 0.8561828f, 0.9062947f, 0.4876338f,
    0.5336833f, 0.9408855f, 0.7492414f, 0.9094398f, 0.4234072f, 0.9992057f, 0.9032280f,
    0.9391077f, 0.6237826f, 0.9999679f, 0.3962644f, 0.5988056f, 0.8286650f, 0.9735358f,
    0.2519363f, 0.8381868f, 0.9819802f, 0.3326895f, 0.9512270f, 0.7956742f, 0.7073758f,
    0.3350618f, 0.6477807f, 0.6876810f, 0.9762715f, 0.9421906f, 0.7106958f, 0.8309939f,
    0.9483995f, 0.4584945f, 0.3587610f, 0.9191710f, 0.8441055f, 0.9651198f, 0.7357508f,
    0.6911522f, 0.4875454f, 0.4436758f, 0.9092340f, 0.8890251f, 0.9400302f, 0.9310281f,
    0.7888819f, 0.8513380f, 0.6617927f, 0.9797881f, 0.6856632f, 0.7441529f, 0.9909563f,
    0.9126578f, 0.9318658f, 0.9328604f, 0.6228442f, 0.9968291f, 0.8518435f, 0.9074287f,
    0.8570494f, 0.9944454f, 0.9026004f, 0.9938795f, 0.9934687f, 0.6133717f, 0.8151480f,
    0.7733253f, 0.9910819f, 0.9575145f, 0.9990297f, 0.8532518f, 0.7103961f, 0.9126520f,
    0.5452808f, 0.9704029f, 0.7728340f, 0.9757667f, 0.9973597f, 0.5666011f, 0.9449445f,
    0.4264765f, 0.9633554f, 0.5276885f, 0.9649187f, 0.9955402f, 0.9993658f, 0.9541410f,
    0.7663490f, 0.6135782f, 0.5278582f, 0.8972374f, 0.9223629f, 0.8756471f, 0.8973264f,
    0.7759883f, 0.6197943f, 0.6510722f, 0.9430049f, 0.9924674f, 0.9402014f, 0.8075843f,
    0.9456198f, 0.7825532f, 0.9791820f, 0.9991912f, 0.9522746f, 0.7989985f, 0.9581842f,
    0.8656973f, 0.6995246f, 0.9699900f, 0.7339949f, 0.9940381f, 0.8124068f, 0.6968956f,
    0.9993413f, 0.8406696f, 0.9654232f, 0.9686622f, 0.7199782f, 0.9990813f, 0.9444504f,
    0.9562018f, 0.9871617f, 0.6965759f, 0.9944505f, 0.8508444f, 0.9841835f, 0.3292393f,
    0.9940100f, 0.7649242f, 0.9721188f, 0.5994813f, 0.7319917f, 0.7994358f, 0.5279059f,
    0.9123244f, 0.9941218f, 0.9277772f, 0.9780462f, 0.9557477f, 0.9779428f, 0.9930142f,
    0.9040203f, 0.7289891f, 0.9130719f, 0.6860753f, 0.9200058f, 0.9048415f, 0.2883186f,
    0.7860394f, 0.9961419f, 0.4911310f, 0.9887490f, 0.9896966f, 0.9736157f, 0.5828821f,
    0.7415204f, 0.0894862f, 0.8891528f, 0.7154429f, 0.4049704f, 0.5059392f, 0.9979195f,
    0.9202200f, 0.5746095f, 0.9948580f, 0.6311127f, 0.9991410f, 0.3499404f, 0.6062608f,
    0.9997920f, 0.8410018f, 0.6126215f, 0.8997070f, 0.4475413f, 0.8980440f, 0.5620291f,
    0.9579983f, 0.8966987f, 0.9083078f, 0.8317431f, 0.9516838f, 0.9953498f, 0.8526396f,
    0.9475290f, 0.8363498f, 0.6992946f, 0.9741101f, 0.2593839f, 0.1295371f, 0.9835448f,
    0.9943448f, 0.7496637f, 0.9932608f, 0.2254070f, 0.7377942f, 0.8234836f, 0.5929755f,
    0.8373774f, 0.9415301f, 0.9789858f, 0.9447971f, 0.9144746f, 0.9359277f, 0.7876476f,
    0.6990879f, 0.7822184f, 0.9918489f, 0.9760264f, 0.9339214f, 0.8939716f, 0.7198217f,
    0.3252897f, 0.6816602f, 0.7452835f, 0.7150198f, 0.9897362f, 0.9454823f, 0.8615171f,
    0.7600579f, 0.9841754f, 0.5188548f, 0.9558267f, 0.5894713f, 0.5507467f, 0.9950207f,
    0.9625316f, 0.7089789f, 0.9671871f, 0.4124033f, 0.8018158f, 0.7696977f, 0.6070292f,
    0.2479791f, 0.4650062f, 0.8222254f, 0.9596755f, 0.9967354f, 0.9538141f, 0.9049607f,
    0.9749254f, 0.4553132f, 0.7176539f, 0.8196607f, 0.9852779f, 0.9999974f, 0.9930669f,
    0.8311681f, 0.8978956f, 0.9520703f, 0.9110563f, 0.8990230f, 0.8917980f, 0.7100621f,
    0.8918435f, 0.6161017f, 0.5784528f, 0.9605005f, 0.9991930f, 0.9108775f, 0.9821148f,
    0.9082981f, 0.4846940f, 0.9756749f, 0.1860934f, 0.9930571f, 0.3730361f, 0.8141520f,
    0.7539024f, 0.6937073f, 0.9771348f, 0.5887108f, 0.3741292f, 0.7099813f, 0.9554570f,
    0.8993896f, 0.5264416f, 0.7624216f, 0.9554386f, 0.8717128f, 0.3519626f, 0.6895824f,
    0.5860276f, 0.7821829f, 0.7467167f, 0.9780623f, 0.7194932f, 0.9997852f, 0.9986864f,
    0.5912276f, 0.5619513f, 0.9839139f, 0.8934898f, 0.8531473f, 0.9978624f, 0.4210938f,
    0.9421851f, 0.4944819f, 0.7755434f, 0.8278865f, 0.9843499f, 0.9401786f, 0.7130530f,
    0.9932114f, 0.8487883f, 0.9994287f, 0.9945149f, 0.8458571f, 0.8254007f, 0.5152454f,
    0.8515135f, 0.2472854f, 0.8057187f, 0.6744553f, 0.9584129f, 0.9743502f, 0.9928705f,
    0.9319848f, 0.9944065f, 0.6733625f, 0.8757202f, 0.8857735f, 0.6204808f, 0.8764983f,
    0.5598926f, 0.9751591f, 0.9920143f, 0.6146086f, 0.5401546f, 0.6849253f, 0.9533494f,
    0.9155137f, 0.9232042f, 0.8318811f, 0.9746454f, 0.7495544f, 0.6625076f, 0.8658320f,
    0.9998804f, 0.8005264f, 0.8763222f, 0.6514122f, 0.9838958f, 0.7961009f, 0.9843751f,
    0.6901151f, 0.9910706f, 0.7771784f, 0.9999253f, 0.8850592f, 0.9444240f, 0.2919757f,
    0.7157799f, 0.7177430f, 0.8709306f, 0.9965084f, 0.2426709f, 0.8461366f, 0.6200197f,
    0.9679459f, 0.9974208f, 0.9450124f, 0.6905183f, 0.9727265f, 0.4139236f, 0.9757200f,
    0.9959436f, 0.6430421f, 0.9695804f, 0.9441353f, 0.9722581f, 0.6848451f, 0.9999804f,
    0.3747364f, 0.0393398f, 0.9538212f, 0.9946654f, 0.8372644f, 0.6810617f, 0.3786947f,
    0.1114280f, 0.7558462f, 0.7403111f, 0.4826753f, 0.7530391f, 0.6126777f, 0.7243728f,
    0.7023251f, 0.9811811f, 0.9907640f, 0.2285660f, 0.9803518f, 0.8149796f, 0.8675022f,
    0.7706410f, 0.8673893f, 0.9988346f, 0.9665015f, 0.8046779f, 0.9999199f, 0.9930347f,
    0.8375145f, 0.9694158f, 0.8920791f, 0.9409222f, 0.9292229f, 0.4445580f, 0.8124206f,
    0.4585940f, 0.9978320f, 0.9344499f, 0.9906620f, 0.9343345f, 0.7011232f, 0.8897444f,
    0.4230108f, 0.8755497f, 0.9841317f, 0.6306329f, 0.9408679f, 0.9999754f, 0.9937475f,
    0.4105151f, 0.9175552f, 0.9998640f, 0.9788967f, 0.4472660f, 0.8966914f, 0.9873930f,
    0.9276501f, 0.9989307f, 0.8956467f, 0.8742830f, 0.8680106f, 0.5125923f, 0.8642461f,
    0.3628526f, 0.9368534f, 0.9968034f, 0.6946948f, 0.9730268f, 0.7902759f, 0.9503697f,
    0.4596019f, 0.3365393f, 0.8791905f, 0.9559213f, 0.6720052f, 0.9956413f, 0.4737469f,
    0.8443258f, 0.3307628f, 0.9194128f, 0.9849778f, 0.8524398f, 0.9467593f, 0.1450950f,
    0.9452693f, 0.9911649f, 0.9517275f, 0.6414830f, 0.7838469f, 0.9948409f, 0.9628692f,
    0.5414726f, 0.9764760f, 0.9492066f, 0.9979239f, 0.9796112f, 0.6677519f, 0.2303361f,
    0.8197112f, 0.4884773f, 0.9189837f, 0.7353562f, 0.9427967f, 0.3573073f, 0.7872589f,
    0.8555313f, 0.8776757f, 0.9924047f, 0.8215339f, 0.3991421f, 0.9722975f, 0.6533542f,
    0.4841857f, 0.6492252f, 0.2119236f, 0.7739428f, 0.6829674f, 0.9942770f, 0.7108727f,
    0.5516013f, 0.9823819f, 0.3312544f, 0.2999180f, 0.6614189f, 0.6552909f, 0.9999314f,
    0.8204853f, 0.6648108f, 0.8383619f, 0.9730771f, 0.6715422f, 0.8788822f, 0.9684700f,
    0.9132718f, 0.9778285f, 0.8588866f, 0.9033395f, 0.9877224f, 0.9385353f, 0.6269477f,
    0.9079265f, 0.8619350f, 0.5549661f, 0.9882297f, 0.6154971f, 0.9999904f, 0.8966563f,
    0.7773030f, 0.7453442f, 0.9969578f, 0.8535181f, 0.9908033f, 0.5503574f, 0.9766672f,
    0.9877479f, 0.9520475f, 0.9683927f, 0.9470644f, 0.7481295f, 0.8686114f, 0.6541413f,
    0.6387382f, 0.9956004f, 0.6353442f, 0.9942392f, 0.9499465f, 0.9691933f, 0.9523942f,
    0.9908820f, 0.9994273f, 0.9906579f, 0.8999458f, 0.8412399f, 0.7680842f, 0.8137905f,
    0.8858206f, 0.9208913f, 0.5336525f, 0.6987423f, 0.7890240f, 0.9769700f, 0.9727830f,
    0.1028487f, 0.8122177f, 0.2921039f, 0.9669505f, 0.7712198f, 0.9289660f, 0.6358003f,
    0.5848291f, 0.5073216f, 0.9006930f, 0.1269372f, 0.6281846f, 0.8522481f, 0.9937047f,
    0.5988269f, 0.9999995f, 0.4427512f, 0.7870558f, 0.5729470f, 0.4465498f, 0.6431323f,
    0.4387717f, 0.8503481f, 0.6285944f, 0.9813395f, 0.1526476f, 0.9104033f, 0.2808860f,
    0.5923507f, 0.9122516f, 0.8069131f, 0.7944153f, 0.1166651f, 0.9552425f, 0.7455430f,
    0.6470514f, 0.8807228f, 0.8332517f, 0.5434038f, 0.7877565f, 0.9775928f, 0.9219932f,
    0.7165110f, 0.8264445f, 0.9653384f, 0.9607646f, 0.5091255f, 0.8075977f, 0.6999511f,
    0.9963740f, 0.2622038f, 0.9758451f, 0.9125709f, 0.1842002f, 0.5535851f, 0.1841075f,
    0.9412316f, 0.7047907f, 0.9664725f, 0.7781003f, 0.7362808f, 0.8676680f, 0.5157646f,
    0.8869659f, 0.5597069f, 0.5091396f, 0.9753312f, 0.7986048f, 0.7561287f, 0.9998345f,
    0.4945770f, 0.3339711f, 0.6691782f, 0.3465507f, 0.9721313f, 0.9981711f, 0.7568830f,
    0.3379014f, 0.8889860f, 0.7786816f, 0.4348392f, 0.9295160f, 0.8981967f, 0.7355828f,
    0.9993506f, 0.5915578f, 0.3142953f, 0.9506001f, 0.9777400f, 0.9995045f, 0.5428912f,
    0.9945742f, 0.9971619f, 0.7441758f, 0.7956922f, 0.4042813f, 0.6208648f, 0.7249537f,
    0.9486931f, 0.5417550f, 0.4974165f, 0.9549600f, 0.9941627f, 0.7713981f, 0.9215818f,
    0.7986849f, 0.8365324f, 0.9695278f, 0.8611897f, 0.9529832f, 0.9325780f, 0.2888495f,
    0.9075609f, 0.9961788f, 0.5566413f, 0.5931341f, 0.9801052f, 0.9737034f, 0.1802950f,
    0.8678377f, 0.8682421f, 0.6676107f, 0.5649744f, 0.2224208f, 0.7242179f, 0.5292293f,
    0.9346140f, 0.9397017f, 0.9987941f, 0.5165400f, 0.9771910f, 0.7379233f, 0.9940254f,
    0.4334437f, 0.1422197f, 0.9999983f, 0.8520822f, 0.9893550f, 0.6402313f, 0.9883284f,
    0.9992940f, 0.9908111f, 0.8410616f, 0.7103847f, 0.1165141f, 0.9407108f, 0.9662335f,
    0.9959278f, 0.9605666f, 0.6152514f, 0.9386212f, 0.7227016f, 0.9998481f, 0.8958056f,
    0.2197442f, 0.9768051f, 0.8235917f, 0.7617575f, 0.9924217f, 0.9980206f, 0.7735369f,
    0.9437717f, 0.8669004f, 0.8280417f, 0.8832668f, 0.9999795f, 0.9792397f, 0.9924528f,
    0.8412655f, 0.4814190f, 0.4388118f, 0.9908569f};
const FLOAT32 *ia_hoa_sin_search_grid_inclinations[3] = {
    &ia_sin_search_grid_inclinations_256[0], &ia_sin_search_grid_inclinations_484[0],
    &ia_sin_search_grid_inclinations_900[0],
};

const FLOAT32 ia_hoa_cos_inclinations_1[4] = {1.0000000f, -0.3333333f, -0.3333333f, -0.3333333f};
const FLOAT32 ia_hoa_cos_inclinations_2[9] = {1.0000000f,  -0.7105482f, 0.3552742f,
                                              0.3552741f,  -0.7475603f, 0.0097576f,
                                              -0.7475608f, 0.2426810f,  0.2426822f};
const FLOAT32 ia_hoa_cos_inclinations_3[16] = {
    1.0000000f,  0.6568987f,  -0.4449981f, -0.8595098f, 0.4725435f, -0.1650533f,
    -0.4449974f, -0.1650536f, 0.0019159f,  0.6081354f,  0.6081354f, -0.1914893f,
    -0.8815125f, 0.0019157f,  0.5784553f,  -0.7753860f};
const FLOAT32 ia_hoa_cos_inclinations_4[25] = {
    1.0000000f,  0.6798650f,  -0.1675304f, 0.7489655f,  0.2323719f,  0.6435789f,  0.3022875f,
    0.1302780f,  -0.6268599f, 0.1364165f,  -0.9680335f, -0.4197024f, -0.2297920f, 0.1733618f,
    -0.5646300f, -0.3727851f, -0.0093939f, -0.8488534f, 0.6413058f,  -0.5664064f, -0.8633751f,
    -0.5835638f, 0.0540298f,  0.7548917f,  0.7230746f};
const FLOAT32 ia_hoa_cos_inclinations_5[36] = {
    1.0000000f,  -0.4386534f, 0.3181138f,  -0.9228367f, 0.8117961f,  -0.1924889f,
    0.4796720f,  -0.6159004f, -0.5755950f, -0.5547336f, 0.8114596f,  0.3271738f,
    0.8233983f,  0.4230914f,  0.4883004f,  -0.0637673f, 0.0482475f,  -0.1478481f,
    0.8109276f,  -0.1254449f, -0.2391764f, -0.0637801f, -0.9459112f, 0.5159980f,
    0.0436331f,  -0.2869534f, -0.7453775f, -0.9369824f, -0.6492712f, -0.6994478f,
    -0.6498934f, 0.8364876f,  -0.1223565f, 0.5634986f,  0.3019046f,  0.3727157f};
const FLOAT32 ia_hoa_cos_inclinations_6[49] = {
    1.0000000f,  0.6594934f,  -0.3035005f, 0.0683782f,  -0.4756266f, -0.0187771f, 0.4132713f,
    -0.2568304f, 0.1783603f,  -0.2470334f, 0.8792015f,  -0.7041117f, 0.4420197f,  0.5003053f,
    -0.0062453f, -0.7093011f, 0.2262067f,  -0.4060337f, -0.4905210f, 0.5414324f,  -0.7627633f,
    -0.5849343f, -0.4319796f, -0.7101186f, 0.8663083f,  0.2446822f,  0.6594927f,  -0.0817270f,
    0.2241201f,  0.6511423f,  -0.2465272f, 0.5429607f,  0.8767780f,  0.1349681f,  -0.0574718f,
    -0.8279088f, -0.6178741f, -0.9115022f, -0.3495306f, 0.1992985f,  -0.8220966f, 0.6300880f,
    0.1121973f,  0.5042170f,  0.8434255f,  -0.9568536f, 0.8679712f,  -0.9674820f, -0.3209129f};
const FLOAT32 *ia_hoa_cos_inclinations[MAXIMUM_HOA_ORDER] = {
    &ia_hoa_cos_inclinations_1[0], &ia_hoa_cos_inclinations_2[0], &ia_hoa_cos_inclinations_3[0],
    &ia_hoa_cos_inclinations_4[0], &ia_hoa_cos_inclinations_5[0], &ia_hoa_cos_inclinations_6[0]};

const FLOAT32 ia_hoa_sin_inclinations_1[4] = {0.0000000f, 0.9428090f, 0.9428090f, 0.9428090f};
const FLOAT32 ia_hoa_sin_inclinations_2[9] = {0.0000000f, 0.7036485f, 0.9347621f,
                                              0.9347621f, 0.6641938f, 0.9999523f,
                                              0.6641933f, 0.9701061f, 0.9701058f};
const FLOAT32 ia_hoa_sin_inclinations_3[16] = {0.0000000f, 0.7539788f, 0.8955314f, 0.5111191f,
                                               0.8813073f, 0.9862846f, 0.8955318f, 0.9862845f,
                                               0.9999981f, 0.7938332f, 0.7938332f, 0.9814946f,
                                               0.4721606f, 0.9999981f, 0.8157140f, 0.6314875f};
const FLOAT32 ia_hoa_sin_inclinations_4[25] = {
    0.0000000f, 0.7333372f, 0.9858669f, 0.6626088f, 0.9726269f, 0.7653797f, 0.9532167f,
    0.9914774f, 0.7791319f, 0.9906515f, 0.2508206f, 0.9076617f, 0.9732397f, 0.9848581f,
    0.8253440f, 0.9279176f, 0.9999558f, 0.5286282f, 0.7672853f, 0.8241260f, 0.5045625f,
    0.8120672f, 0.9985393f, 0.6558493f, 0.6907698f};
const FLOAT32 ia_hoa_sin_inclinations_5[36] = {
    0.0000000f, 0.8986563f, 0.9480525f, 0.3851913f, 0.5839409f, 0.9812991f,
    0.8774478f, 0.7878239f, 0.8177348f, 0.8320279f, 0.5844083f, 0.9449641f,
    0.5674637f, 0.9060869f, 0.8726756f, 0.9979647f, 0.9988354f, 0.9890100f,
    0.5851463f, 0.9921005f, 0.9709761f, 0.9979639f, 0.3244254f, 0.8565897f,
    0.9990476f, 0.9579445f, 0.6666425f, 0.3493765f, 0.7605569f, 0.7146836f,
    0.7600253f, 0.5479858f, 0.9924862f, 0.8261170f, 0.9533381f, 0.9279455f};
const FLOAT32 ia_hoa_sin_inclinations_6[49] = {
    0.0000000f, 0.7517102f, 0.9528312f, 0.9976594f, 0.8796472f, 0.9998236f, 0.9106079f,
    0.9664564f, 0.9839652f, 0.9690069f, 0.4764500f, 0.7100892f, 0.8970052f, 0.8658490f,
    0.9999804f, 0.7049055f, 0.9740793f, 0.9138580f, 0.8714293f, 0.8407442f, 0.6466777f,
    0.8110806f, 0.9018833f, 0.7040820f, 0.4995095f, 0.9696033f, 0.7517109f, 0.9966547f,
    0.9745615f, 0.7589556f, 0.9691358f, 0.8397580f, 0.4808952f, 0.9908499f, 0.9983471f,
    0.5608626f, 0.7862770f, 0.4112950f, 0.9369249f, 0.9799388f, 0.5693480f, 0.7765236f,
    0.9936859f, 0.8635769f, 0.5372461f, 0.2905702f, 0.4966144f, 0.2529397f, 0.9471087f};
const FLOAT32 *ia_hoa_sin_inclinations[MAXIMUM_HOA_ORDER] = {
    &ia_hoa_sin_inclinations_1[0], &ia_hoa_sin_inclinations_2[0], &ia_hoa_sin_inclinations_3[0],
    &ia_hoa_sin_inclinations_4[0], &ia_hoa_sin_inclinations_5[0], &ia_hoa_sin_inclinations_6[0]};

const FLOAT32 ia_hoa_weighting_cdbk_256x8[256 * 8] = {
    0.1428571f, 0.1428571f, 0.1428571f, 0.1428571f, 0.1428571f, 0.1428571f, 0.1428571f,
    0.1428571f, 0.7948439f, 0.4611185f, 0.3823458f, 0.2419355f, 0.2144473f, 0.1535993f,
    0.1437419f, 0.1339358f, 0.5584221f, 0.3043923f, 0.2897277f, 0.2760445f, 0.2658079f,
    0.2570030f, 0.2235319f, 0.2179752f, 0.8010162f, 0.2825292f, 0.2596893f, 0.2447747f,
    0.2245575f, 0.2139469f, 0.2025319f, 0.1918660f, 0.3795200f, 0.3568336f, 0.3057752f,
    0.2894344f, 0.2746355f, 0.2645627f, 0.2568418f, 0.2498038f, 0.5831227f, 0.4954921f,
    0.4173358f, 0.3680861f, 0.1690325f, 0.1423690f, 0.1290482f, 0.1151822f, 0.4920554f,
    0.4453420f, 0.4299356f, 0.2575042f, 0.2442694f, 0.2300833f, 0.2123106f, 0.2062733f,
    0.5169902f, 0.4814617f, 0.3054210f, 0.2774968f, 0.2449509f, 0.2314264f, 0.2170268f,
    0.2075865f, 0.4170720f, 0.2980614f, 0.2718451f, 0.2584824f, 0.2506993f, 0.2425459f,
    0.2367955f, 0.2324580f, 0.7800045f, 0.6055744f, 0.1962582f, 0.1749729f, 0.1668589f,
    0.1573924f, 0.1503022f, 0.1312841f, 0.5283226f, 0.3515724f, 0.3195960f, 0.2834739f,
    0.2575019f, 0.2411687f, 0.2281810f, 0.2180536f, 0.6273182f, 0.4078541f, 0.3699564f,
    0.3242141f, 0.2834866f, 0.1916402f, 0.1690755f, 0.1386085f, 0.3580985f, 0.3523428f,
    0.3488658f, 0.3417110f, 0.3377532f, 0.2481085f, 0.2369551f, 0.2280504f, 0.6535197f,
    0.6098461f, 0.5759066f, 0.2520914f, 0.1356066f, 0.1068164f, 0.0910271f, 0.0767718f,
    0.4145494f, 0.3937491f, 0.3672015f, 0.3499623f, 0.2704710f, 0.2551947f, 0.2423257f,
    0.2284494f, 0.5469728f, 0.4870703f, 0.3777550f, 0.3445545f, 0.3258582f, 0.2984400f,
    0.1257406f, 0.0937743f, 0.3384124f, 0.3043119f, 0.2886792f, 0.2795873f, 0.2701959f,
    0.2598298f, 0.2531694f, 0.2478612f, 0.7467465f, 0.5031521f, 0.4378728f, 0.2940909f,
    0.2067637f, 0.1384722f, 0.1305637f, 0.1194666f, 0.4476828f, 0.3468699f, 0.3168992f,
    0.2955296f, 0.2786141f, 0.2659973f, 0.2547747f, 0.2449824f, 0.5999345f, 0.4416527f,
    0.2799185f, 0.2645446f, 0.2492644f, 0.2365006f, 0.2225150f, 0.2024053f, 0.4393914f,
    0.3982442f, 0.3066996f, 0.2838018f, 0.2668828f, 0.2546044f, 0.2426707f, 0.2354967f,
    0.7189243f, 0.5692498f, 0.4463154f, 0.3811441f, 0.1401594f, 0.1126568f, 0.0951294f,
    0.0809980f, 0.4828564f, 0.4138460f, 0.3863030f, 0.3569205f, 0.2682276f, 0.2387180f,
    0.2250637f, 0.2099808f, 0.5349798f, 0.4810819f, 0.3852879f, 0.3153328f, 0.2840021f,
    0.2299018f, 0.1727123f, 0.1481749f, 0.3531076f, 0.3351200f, 0.3226992f, 0.3040865f,
    0.2818872f, 0.2678949f, 0.2570767f, 0.2487065f, 0.6753976f, 0.6434608f, 0.4043628f,
    0.2393041f, 0.1936445f, 0.1583674f, 0.1380050f, 0.1238173f, 0.5658233f, 0.4191950f,
    0.3784069f, 0.3483078f, 0.2562710f, 0.2271756f, 0.2122858f, 0.1959190f, 0.7423657f,
    0.4660359f, 0.4246504f, 0.3320801f, 0.2832725f, 0.2449798f, 0.1262905f, 0.0925922f,
    0.3962720f, 0.3806279f, 0.3686923f, 0.3275741f, 0.3149594f, 0.2985572f, 0.2783965f,
    0.2604827f, 0.5967196f, 0.4870249f, 0.4695732f, 0.2051492f, 0.1991156f, 0.1824964f,
    0.1778168f, 0.1758549f, 0.3997880f, 0.3915105f, 0.3780674f, 0.3520905f, 0.3185674f,
    0.3045186f, 0.2201952f, 0.2115787f, 0.4859098f, 0.4477925f, 0.4071138f, 0.3715659f,
    0.2440725f, 0.2158311f, 0.1960517f, 0.1814853f, 0.2505605f, 0.2466249f, 0.2435636f,
    0.2392886f, 0.2371412f, 0.2338047f, 0.2300598f, 0.2272421f, 0.7984151f, 0.4234080f,
    0.2524121f, 0.2364813f, 0.2106278f, 0.1959212f, 0.1790800f, 0.1679113f, 0.5820772f,
    0.3586266f, 0.3319717f, 0.3147619f, 0.2994883f, 0.2773123f, 0.2584503f, 0.2373383f,
    0.6605793f, 0.3987502f, 0.3770560f, 0.2512156f, 0.2418750f, 0.2301435f, 0.2256791f,
    0.2108621f, 0.4289483f, 0.3769882f, 0.3424256f, 0.3167886f, 0.2889878f, 0.2675519f,
    0.2545603f, 0.2432615f, 0.5088301f, 0.4975296f, 0.4310942f, 0.4152818f, 0.2063817f,
    0.1976422f, 0.1645739f, 0.1545890f, 0.4524673f, 0.4225649f, 0.3920985f, 0.2970838f,
    0.2722102f, 0.2565463f, 0.2403663f, 0.2284747f, 0.4894764f, 0.4547698f, 0.3111161f,
    0.2902276f, 0.2700274f, 0.2556186f, 0.2448218f, 0.2327395f, 0.3984613f, 0.3390888f,
    0.3197530f, 0.3020122f, 0.2875420f, 0.2766782f, 0.2658593f, 0.2564817f, 0.5877535f,
    0.5526670f, 0.3081085f, 0.2705979f, 0.2288362f, 0.1957165f, 0.1738244f, 0.1582062f,
    0.5031855f, 0.3750643f, 0.3550207f, 0.3402305f, 0.3197810f, 0.2405212f, 0.2245030f,
    0.2131865f, 0.6454623f, 0.4431955f, 0.3877173f, 0.3231451f, 0.2373521f, 0.2178655f,
    0.1972384f, 0.1803958f, 0.4001304f, 0.3464009f, 0.3359070f, 0.3274959f, 0.3134229f,
    0.3040627f, 0.2915615f, 0.2420612f, 0.6392874f, 0.5742282f, 0.5265815f, 0.2028376f,
    0.1772333f, 0.1579944f, 0.1473677f, 0.1399606f, 0.4209162f, 0.3875359f, 0.3613716f,
    0.3411071f, 0.3234460f, 0.2618983f, 0.2461106f, 0.2319784f, 0.5045102f, 0.4414840f,
    0.3735848f, 0.3478895f, 0.3148991f, 0.2801153f, 0.1998202f, 0.1593539f, 0.3365854f,
    0.3267045f, 0.3181919f, 0.3095208f, 0.2996841f, 0.2865829f, 0.2697672f, 0.2570538f,
    0.7530621f, 0.4684384f, 0.4199023f, 0.3691739f, 0.1952511f, 0.1668181f, 0.1421670f,
    0.1216243f, 0.4779216f, 0.3722995f, 0.3507167f, 0.3303612f, 0.3077824f, 0.2815833f,
    0.2456506f, 0.2225861f, 0.6205880f, 0.3425609f, 0.3063333f, 0.2757658f, 0.2617408f,
    0.2442146f, 0.2334275f, 0.2219354f, 0.4568497f, 0.4364399f, 0.3472752f, 0.3198177f,
    0.2720247f, 0.2539159f, 0.2380324f, 0.2241497f, 0.5832244f, 0.5424282f, 0.4277036f,
    0.3809123f, 0.2614649f, 0.2157780f, 0.1833898f, 0.1643754f, 0.4852210f, 0.4578067f,
    0.3835503f, 0.3550415f, 0.3128956f, 0.2646544f, 0.2367764f, 0.2154559f, 0.5723528f,
    0.5144918f, 0.3528499f, 0.3244273f, 0.2578557f, 0.2227048f, 0.1927462f, 0.1819201f,
    0.3694072f, 0.3470698f, 0.3353995f, 0.3255415f, 0.3152908f, 0.3000307f, 0.2635840f,
    0.2473490f, 0.6643060f, 0.6023309f, 0.3824235f, 0.3381832f, 0.1986696f, 0.1653598f,
    0.1427898f, 0.1275558f, 0.5952541f, 0.3973140f, 0.3631229f, 0.3456433f, 0.3309415f,
    0.3074298f, 0.2384996f, 0.2036587f, 0.6999869f, 0.4651920f, 0.4249092f, 0.3663569f,
    0.3139083f, 0.2856816f, 0.1203769f, 0.0998045f, 0.4022546f, 0.3730598f, 0.3581559f,
    0.3447341f, 0.3307920f, 0.3124719f, 0.2837749f, 0.2685856f, 0.5327128f, 0.4919171f,
    0.4560040f, 0.2776632f, 0.2413225f, 0.1915402f, 0.1654707f, 0.1390960f, 0.4361726f,
    0.3606431f, 0.3445496f, 0.3391506f, 0.3263581f, 0.3177785f, 0.3033621f, 0.1912420f,
    0.5064753f, 0.4633715f, 0.4442748f, 0.3303275f, 0.3051222f, 0.2717117f, 0.2450314f,
    0.1994191f, 0.2000000f, 0.2000000f, 0.2000000f, 0.2000000f, 0.2000000f, 0.2000000f,
    0.2000000f, 0.2000000f, 0.7465494f, 0.3772410f, 0.3524067f, 0.3345514f, 0.2215248f,
    0.1981447f, 0.1774536f, 0.1678301f, 0.5373089f, 0.3993299f, 0.3050869f, 0.2803313f,
    0.2626001f, 0.2492832f, 0.2374717f, 0.2242635f, 0.6774487f, 0.2857979f, 0.2653625f,
    0.2542351f, 0.2465090f, 0.2375411f, 0.2317364f, 0.2243775f, 0.3990240f, 0.3838449f,
    0.3715430f, 0.2824190f, 0.2677446f, 0.2585330f, 0.2342493f, 0.2301343f, 0.6087788f,
    0.4443834f, 0.4018040f, 0.3580974f, 0.2129173f, 0.1864994f, 0.1654374f, 0.1260368f,
    0.5077500f, 0.4514174f, 0.3928283f, 0.2958444f, 0.2648841f, 0.2380397f, 0.2229999f,
    0.2083017f, 0.5345050f, 0.4878603f, 0.3489099f, 0.3117253f, 0.2768169f, 0.2454763f,
    0.2203385f, 0.2009798f, 0.3945577f, 0.3047964f, 0.2941620f, 0.2870201f, 0.2780662f,
    0.2715391f, 0.2617575f, 0.2554160f, 0.6709846f, 0.6311733f, 0.2481399f, 0.2222595f,
    0.2018357f, 0.1904362f, 0.1781172f, 0.1700958f, 0.4821095f, 0.3841095f, 0.3530915f,
    0.3106612f, 0.2773025f, 0.2603456f, 0.2486786f, 0.2372943f, 0.6224504f, 0.3709822f,
    0.3438191f, 0.3213416f, 0.2721322f, 0.2267070f, 0.2024939f, 0.1861289f, 0.3921443f,
    0.3750634f, 0.3505215f, 0.3388429f, 0.2764386f, 0.2666998f, 0.2536907f, 0.2433952f,
    0.6725544f, 0.5769251f, 0.5122807f, 0.3061678f, 0.1558981f, 0.1327088f, 0.1142667f,
    0.1059997f, 0.4445701f, 0.4110843f, 0.3784562f, 0.3105235f, 0.2920362f, 0.2765733f,
    0.2589913f, 0.2435145f, 0.4786950f, 0.4502484f, 0.4061385f, 0.3777883f, 0.3381820f,
    0.3131018f, 0.1576762f, 0.1336087f, 0.3182840f, 0.3040564f, 0.2947122f, 0.2883378f,
    0.2819410f, 0.2742606f, 0.2659040f, 0.2597421f, 0.7166736f, 0.5541816f, 0.3852073f,
    0.3115545f, 0.2073187f, 0.1615364f, 0.1376046f, 0.1242086f, 0.5067325f, 0.3579253f,
    0.3196449f, 0.3004055f, 0.2850097f, 0.2701279f, 0.2544128f, 0.2397038f, 0.5880221f,
    0.4448673f, 0.3820672f, 0.2617739f, 0.2390100f, 0.2222209f, 0.2035997f, 0.1870056f,
    0.4924625f, 0.4047940f, 0.3304128f, 0.3073789f, 0.2930765f, 0.2783755f, 0.2636591f,
    0.2475790f, 0.6567373f, 0.5073760f, 0.4570410f, 0.4101774f, 0.2091878f, 0.1755516f,
    0.1591778f, 0.1369522f, 0.4478186f, 0.4144396f, 0.3889816f, 0.3519158f, 0.3231661f,
    0.2587092f, 0.2369442f, 0.2217547f, 0.5669835f, 0.5285103f, 0.4001629f, 0.2818419f,
    0.2433930f, 0.2189116f, 0.2017890f, 0.1899448f, 0.3786818f, 0.3609529f, 0.3438926f,
    0.3119442f, 0.2875288f, 0.2684763f, 0.2552290f, 0.2462932f, 0.6965495f, 0.6013444f,
    0.3750520f, 0.2373510f, 0.2277892f, 0.2157083f, 0.1511636f, 0.1282812f, 0.5815501f,
    0.4328476f, 0.3877805f, 0.3589543f, 0.3258826f, 0.2610984f, 0.2262993f, 0.1996593f,
    0.6784741f, 0.4266520f, 0.3612385f, 0.3284596f, 0.3043038f, 0.2735546f, 0.2201319f,
    0.1802797f, 0.4188791f, 0.3955954f, 0.3718366f, 0.3508710f, 0.3298087f, 0.2967153f,
    0.2657715f, 0.2469920f, 0.6006574f, 0.4589139f, 0.4193743f, 0.2713642f, 0.2391091f,
    0.2042239f, 0.1724195f, 0.1535082f, 0.4503942f, 0.4158537f, 0.3647894f, 0.3466761f,
    0.3204088f, 0.3037765f, 0.2577516f, 0.2063005f, 0.5175115f, 0.4808932f, 0.3944354f,
    0.3621926f, 0.2690632f, 0.2510408f, 0.2343424f, 0.2182508f, 0.2899159f, 0.2815768f,
    0.2746807f, 0.2701718f, 0.2637418f, 0.2584722f, 0.2539486f, 0.2477459f, 0.7493371f,
    0.5289523f, 0.3120849f, 0.2856315f, 0.2526954f, 0.2039745f, 0.1576880f, 0.1316058f,
    0.5324945f, 0.3757442f, 0.3498303f, 0.3281301f, 0.3117428f, 0.2880919f, 0.2438483f,
    0.2170157f, 0.7338197f, 0.3580223f, 0.3338317f, 0.3096374f, 0.2719416f, 0.2295268f,
    0.2065292f, 0.1914039f, 0.4165120f, 0.3933726f, 0.3335505f, 0.3149848f, 0.3024553f,
    0.2921473f, 0.2799556f, 0.2667867f, 0.5641182f, 0.5014241f, 0.4612002f, 0.4248804f,
    0.2321565f, 0.1977076f, 0.1838588f, 0.1645946f, 0.5119361f, 0.4275104f, 0.3960606f,
    0.3219276f, 0.2930917f, 0.2698421f, 0.2490734f, 0.2310648f, 0.5458616f, 0.4264512f,
    0.3390748f, 0.3160016f, 0.2973025f, 0.2706281f, 0.2326805f, 0.2045641f, 0.4292828f,
    0.3409718f, 0.3257602f, 0.3117641f, 0.3006148f, 0.2900775f, 0.2743906f, 0.2591301f,
    0.6459960f, 0.5273297f, 0.3553356f, 0.2581425f, 0.2303296f, 0.2148865f, 0.1980322f,
    0.1871226f, 0.4983500f, 0.4079253f, 0.3804108f, 0.3590921f, 0.3302164f, 0.3018076f,
    0.2634650f, 0.2194116f, 0.5848054f, 0.4657382f, 0.4300757f, 0.3274240f, 0.2817804f,
    0.2423325f, 0.2140806f, 0.1917134f, 0.4161068f, 0.3728106f, 0.3438370f, 0.3317840f,
    0.3125129f, 0.2978883f, 0.2511790f, 0.2337476f, 0.5973744f, 0.5705072f, 0.5383088f,
    0.2812238f, 0.2269697f, 0.1784637f, 0.1468587f, 0.1318141f, 0.4575438f, 0.4193858f,
    0.3845701f, 0.3627983f, 0.2949850f, 0.2787759f, 0.2662078f, 0.2476036f, 0.4541952f,
    0.4359349f, 0.4134490f, 0.3772811f, 0.3225821f, 0.2831173f, 0.2211061f, 0.2002404f,
    0.3375928f, 0.3256067f, 0.3184389f, 0.3127224f, 0.3048706f, 0.2988981f, 0.2919592f,
    0.2777767f, 0.6697409f, 0.4950510f, 0.4221314f, 0.3387279f, 0.3074614f, 0.1885001f,
    0.1480842f, 0.1335953f, 0.4748692f, 0.3785528f, 0.3479369f, 0.3246003f, 0.3111894f,
    0.3013860f, 0.2911775f, 0.2780268f, 0.5812551f, 0.3861406f, 0.3609111f, 0.3299949f,
    0.2915254f, 0.2597678f, 0.2384566f, 0.2140071f, 0.4477666f, 0.4219654f, 0.3409776f,
    0.3220720f, 0.3044910f, 0.2882683f, 0.2708568f, 0.2485058f, 0.5506172f, 0.4516566f,
    0.4094310f, 0.3823718f, 0.3368229f, 0.2292885f, 0.2063444f, 0.1793178f, 0.4986409f,
    0.4747915f, 0.4365840f, 0.4046447f, 0.2888961f, 0.2540273f, 0.2261268f, 0.2031226f,
    0.5500589f, 0.5171197f, 0.3862051f, 0.3510955f, 0.3147379f, 0.2665842f, 0.2160211f,
    0.1857932f, 0.3842683f, 0.3653749f, 0.3455075f, 0.3280412f, 0.3122273f, 0.3007321f,
    0.2881203f, 0.2742284f, 0.6548424f, 0.5325160f, 0.4093467f, 0.3368041f, 0.2263798f,
    0.1915917f, 0.1748200f, 0.1533855f, 0.5571395f, 0.4116830f, 0.3863277f, 0.3677986f,
    0.3459854f, 0.3233836f, 0.2929470f, 0.1744990f, 0.6207774f, 0.4724616f, 0.4051281f,
    0.3810777f, 0.3355846f, 0.2598772f, 0.1835794f, 0.1572102f, 0.3939712f, 0.3858382f,
    0.3722268f, 0.3625761f, 0.3513824f, 0.3397795f, 0.3199589f, 0.2247712f, 0.5464793f,
    0.4977584f, 0.4924757f, 0.3085771f, 0.2918559f, 0.2778568f, 0.1888183f, 0.1549105f,
    0.4299046f, 0.4041458f, 0.3855791f, 0.3693339f, 0.3523040f, 0.3205912f, 0.2700903f,
    0.2410006f, 0.5474922f, 0.4433470f, 0.4160977f, 0.3475007f, 0.3172512f, 0.2929207f,
    0.2152219f, 0.1905383f, 0.6474922f, 0.5433470f, 0.5160977f, 0.4475007f, 0.4172511f,
    0.3929207f, 0.3152219f, 0.2905384f, 0.7700709f, 0.4531363f, 0.4263520f, 0.2705028f,
    0.2363846f, 0.1443001f, 0.1341073f, 0.1248211f, 0.5540972f, 0.3260262f, 0.3031548f,
    0.2931655f, 0.2767363f, 0.2669028f, 0.2584600f, 0.2426134f, 0.7644528f, 0.3302186f,
    0.2810399f, 0.2651274f, 0.2434802f, 0.2217981f, 0.2101521f, 0.1924767f, 0.4100560f,
    0.3818088f, 0.3156314f, 0.2959598f, 0.2839751f, 0.2735209f, 0.2648837f, 0.2558164f,
    0.5758550f, 0.4585420f, 0.4149431f, 0.3865815f, 0.2254702f, 0.1656359f, 0.1473587f,
    0.1258031f, 0.4734040f, 0.4363563f, 0.4093494f, 0.3200858f, 0.2916606f, 0.2568049f,
    0.2190122f, 0.2000901f, 0.5708295f, 0.4882776f, 0.3139842f, 0.2801505f, 0.2543680f,
    0.2397999f, 0.2245675f, 0.2108229f, 0.4722851f, 0.3018251f, 0.2872386f, 0.2757527f,
    0.2682833f, 0.2624542f, 0.2546128f, 0.2475272f, 0.7189496f, 0.6146880f, 0.2981067f,
    0.2343209f, 0.1997006f, 0.1741439f, 0.1563507f, 0.1401129f, 0.5157301f, 0.4058738f,
    0.3497279f, 0.3023682f, 0.2610095f, 0.2409383f, 0.2293132f, 0.2186297f, 0.6038355f,
    0.4064679f, 0.3777154f, 0.3363281f, 0.2657110f, 0.2404481f, 0.2145298f, 0.1359609f,
    0.3841003f, 0.3680272f, 0.3503648f, 0.3361031f, 0.3195577f, 0.2850219f, 0.2637707f,
    0.2486095f, 0.6293080f, 0.5983716f, 0.5487360f, 0.2582857f, 0.1848653f, 0.1411962f,
    0.1256060f, 0.1109965f, 0.4357331f, 0.4102643f, 0.3899434f, 0.3706440f, 0.2775818f,
    0.2585975f, 0.2422034f, 0.2214902f, 0.5180488f, 0.4543705f, 0.4300157f, 0.3498290f,
    0.3141258f, 0.2830087f, 0.1386618f, 0.1197964f, 0.3509932f, 0.3131693f, 0.2996498f,
    0.2891187f, 0.2822253f, 0.2762048f, 0.2698469f, 0.2621477f, 0.7333282f, 0.5308421f,
    0.4075738f, 0.2446155f, 0.2049903f, 0.1909877f, 0.1550771f, 0.1355801f, 0.4600396f,
    0.3600570f, 0.3362360f, 0.3161546f, 0.2998546f, 0.2835659f, 0.2657047f, 0.2487870f,
    0.6073940f, 0.4288317f, 0.3245291f, 0.2927518f, 0.2638413f, 0.2321544f, 0.2126999f,
    0.1968253f, 0.4451857f, 0.4177193f, 0.3191010f, 0.2983448f, 0.2841571f, 0.2727254f,
    0.2630582f, 0.2502813f, 0.6425359f, 0.5707234f, 0.4745974f, 0.4132735f, 0.1569025f,
    0.1346367f, 0.1210171f, 0.1074493f, 0.4672865f, 0.4424316f, 0.4109466f, 0.3832516f,
    0.2679529f, 0.2514945f, 0.2344655f, 0.2208195f, 0.4957673f, 0.4658538f, 0.3870536f,
    0.3390078f, 0.3090019f, 0.2275578f, 0.1963055f, 0.1840938f, 0.3658897f, 0.3494500f,
    0.3284359f, 0.3108574f, 0.2937884f, 0.2805109f, 0.2699370f, 0.2599839f, 0.6697832f,
    0.5967706f, 0.4617314f, 0.2499749f, 0.2050006f, 0.1606361f, 0.1409951f, 0.1249152f,
    0.5436630f, 0.4312922f, 0.3968145f, 0.3575315f, 0.2878246f, 0.2466789f, 0.2292566f,
    0.2133956f, 0.7457226f, 0.4138216f, 0.3604949f, 0.3428083f, 0.3242235f, 0.2913880f,
    0.1657028f, 0.1135378f, 0.4007597f, 0.3836054f, 0.3638553f, 0.3459201f, 0.3103912f,
    0.2983399f, 0.2896011f, 0.2775119f, 0.6476453f, 0.4732171f, 0.4595044f, 0.2223254f,
    0.2140588f, 0.1967192f, 0.1912182f, 0.1823043f, 0.4490640f, 0.3705641f, 0.3629034f,
    0.3433814f, 0.3358243f, 0.3206683f, 0.2162117f, 0.2006785f, 0.5070703f, 0.4669977f,
    0.4416420f, 0.3288073f, 0.2570489f, 0.2306813f, 0.2167676f, 0.2010423f, 0.2654474f,
    0.2619930f, 0.2583675f, 0.2559933f, 0.2533203f, 0.2501074f, 0.2477691f, 0.2441303f,
    0.7981796f, 0.4353137f, 0.3290685f, 0.2811601f, 0.2410462f, 0.1973311f, 0.1667770f,
    0.1371809f, 0.5446034f, 0.3529159f, 0.3359389f, 0.3222301f, 0.3106116f, 0.2990523f,
    0.2816331f, 0.2635404f, 0.6969053f, 0.4285795f, 0.3091895f, 0.2767572f, 0.2533893f,
    0.2349703f, 0.2154386f, 0.1975006f, 0.4261333f, 0.3959041f, 0.3633791f, 0.3337848f,
    0.3008402f, 0.2822570f, 0.2695357f, 0.2555347f, 0.5407080f, 0.4872621f, 0.4328107f,
    0.3834692f, 0.2452001f, 0.2223704f, 0.2069727f, 0.1951602f, 0.4711593f, 0.4449076f,
    0.4166407f, 0.3132152f, 0.2880356f, 0.2723136f, 0.2574705f, 0.2386394f, 0.4955143f,
    0.4598465f, 0.3628360f, 0.3148309f, 0.2838070f, 0.2626333f, 0.2482847f, 0.2340827f,
    0.3957698f, 0.3447238f, 0.3230338f, 0.3125727f, 0.3030431f, 0.2946074f, 0.2854204f,
    0.2724052f, 0.6196576f, 0.5794814f, 0.3009388f, 0.2606446f, 0.2396747f, 0.2294709f,
    0.2103378f, 0.1944026f, 0.5224733f, 0.4049491f, 0.3816811f, 0.3588558f, 0.3243763f,
    0.2754074f, 0.2352016f, 0.2143452f, 0.6300542f, 0.4512442f, 0.4084787f, 0.3697869f,
    0.2702912f, 0.2305628f, 0.2079925f, 0.1838519f, 0.3980649f, 0.3636633f, 0.3502123f,
    0.3398599f, 0.3260842f, 0.3172195f, 0.3001612f, 0.2425099f, 0.6321892f, 0.5613351f,
    0.4642711f, 0.2548869f, 0.2218147f, 0.1940971f, 0.1711696f, 0.1576721f, 0.4150051f,
    0.4005235f, 0.3875641f, 0.3727164f, 0.3047373f, 0.2801783f, 0.2594124f, 0.2456344f,
    0.4891795f, 0.4068489f, 0.3958996f, 0.3534825f, 0.3409802f, 0.3015888f, 0.2275292f,
    0.1647058f, 0.3486570f, 0.3344888f, 0.3164019f, 0.3006207f, 0.2917653f, 0.2826880f,
    0.2764626f, 0.2682665f, 0.7051945f, 0.4585592f, 0.4230825f, 0.3687774f, 0.2273746f,
    0.1920983f, 0.1709893f, 0.1441722f, 0.4590602f, 0.3792691f, 0.3554741f, 0.3365309f,
    0.3164370f, 0.2953227f, 0.2677477f, 0.2489700f, 0.6033798f, 0.3933488f, 0.3286793f,
    0.2916343f, 0.2740111f, 0.2597418f, 0.2419242f, 0.2214949f, 0.4700520f, 0.4282419f,
    0.3603012f, 0.3349391f, 0.3053635f, 0.2739197f, 0.2470932f, 0.2253092f, 0.5632553f,
    0.5208119f, 0.4898379f, 0.3483357f, 0.2776624f, 0.2139472f, 0.1898407f, 0.1676541f,
    0.5192575f, 0.4625659f, 0.3676141f, 0.3419996f, 0.3230364f, 0.2966448f, 0.2430242f,
    0.2087294f, 0.5886005f, 0.5548216f, 0.3350414f, 0.3140369f, 0.2776180f, 0.2475909f,
    0.2185208f, 0.1975610f, 0.3711995f, 0.3590255f, 0.3491029f, 0.3339990f, 0.3012577f,
    0.2852013f, 0.2746034f, 0.2651757f, 0.6273614f, 0.5961943f, 0.3762975f, 0.3168770f,
    0.2201654f, 0.1978296f, 0.1763295f, 0.1558847f, 0.5844373f, 0.4038211f, 0.3904630f,
    0.3729711f, 0.3552606f, 0.3312217f, 0.1959667f, 0.1745325f, 0.6544595f, 0.4390620f,
    0.4141084f, 0.3780615f, 0.3491836f, 0.3227747f, 0.1466886f, 0.1197203f, 0.3971886f,
    0.3839093f, 0.3728723f, 0.3606675f, 0.3467432f, 0.3370530f, 0.3175103f, 0.3004337f,
    0.5493742f, 0.5063585f, 0.4778670f, 0.2811076f, 0.2464402f, 0.2272385f, 0.2135580f,
    0.1977379f, 0.4452585f, 0.3862838f, 0.3643099f, 0.3475823f, 0.3337290f, 0.3196980f,
    0.2972799f, 0.2392390f, 0.5323741f, 0.4945361f, 0.4485565f, 0.3384878f, 0.3038477f,
    0.2555972f, 0.2250888f, 0.2005044f, 0.6323741f, 0.5945361f, 0.5485565f, 0.4384878f,
    0.4038477f, 0.3555971f, 0.3250888f, 0.3005044f, 0.7714066f, 0.4128119f, 0.3905922f,
    0.3293382f, 0.2832188f, 0.2022851f, 0.1500706f, 0.1239235f, 0.5581576f, 0.4137226f,
    0.3301348f, 0.3056835f, 0.2900285f, 0.2767587f, 0.2631494f, 0.2456756f, 0.6868432f,
    0.3186220f, 0.3085885f, 0.2842769f, 0.2684399f, 0.2450799f, 0.2317967f, 0.2122464f,
    0.4053964f, 0.3906170f, 0.3732639f, 0.3106622f, 0.2863883f, 0.2695753f, 0.2521491f,
    0.2412630f, 0.5855724f, 0.4276834f, 0.4025173f, 0.3652082f, 0.2552077f, 0.2055207f,
    0.1819729f, 0.1213394f, 0.5247457f, 0.4918375f, 0.4114615f, 0.2979874f, 0.2770283f,
    0.2585456f, 0.2391411f, 0.2202908f, 0.5324267f, 0.4954710f, 0.3247168f, 0.3003612f,
    0.2856029f, 0.2699263f, 0.2503431f, 0.2318951f, 0.3712481f, 0.3242695f, 0.3125307f,
    0.3049918f, 0.2966658f, 0.2870373f, 0.2777243f, 0.2661862f, 0.6741376f, 0.5974112f,
    0.2807821f, 0.2552155f, 0.2361399f, 0.2158136f, 0.1935998f, 0.1807847f, 0.5052828f,
    0.3950192f, 0.3689615f, 0.3370072f, 0.2969153f, 0.2771987f, 0.2637971f, 0.2464451f,
    0.6003012f, 0.3886460f, 0.3592623f, 0.3332895f, 0.3101368f, 0.2374882f, 0.1993238f,
    0.1705644f, 0.3968082f, 0.3759290f, 0.3634990f, 0.3478247f, 0.2974049f, 0.2811658f,
    0.2697548f, 0.2551893f, 0.6508404f, 0.5450942f, 0.5077148f, 0.3358241f, 0.2004088f,
    0.1651293f, 0.1392717f, 0.1224069f, 0.4385257f, 0.4165769f, 0.3967829f, 0.3344098f,
    0.3124849f, 0.2924088f, 0.2740314f, 0.2543379f, 0.5187208f, 0.4797946f, 0.4331532f,
    0.3922641f, 0.3504939f, 0.3303186f, 0.2062600f, 0.1581959f, 0.3061073f, 0.2999423f,
    0.2964326f, 0.2926497f, 0.2886483f, 0.2849341f, 0.2786701f, 0.2721338f, 0.7252987f,
    0.5428362f, 0.4240250f, 0.3197035f, 0.2568283f, 0.1743427f, 0.1179962f, 0.0982421f,
    0.4972466f, 0.3409173f, 0.3243418f, 0.3127783f, 0.3007779f, 0.2887071f, 0.2738308f,
    0.2535690f, 0.5829378f, 0.4273000f, 0.3774887f, 0.2921933f, 0.2703735f, 0.2506339f,
    0.2321804f, 0.2131168f, 0.4844402f, 0.4555644f, 0.3377277f, 0.3190411f, 0.2997026f,
    0.2832204f, 0.2671420f, 0.2443394f, 0.5907052f, 0.5390242f, 0.4852437f, 0.3890959f,
    0.2177650f, 0.1831610f, 0.1605109f, 0.1459639f, 0.4753999f, 0.4361985f, 0.3971138f,
    0.3720319f, 0.3409802f, 0.2370291f, 0.2173812f, 0.2013770f, 0.5885656f, 0.5436002f,
    0.4112765f, 0.3125107f, 0.2778463f, 0.2432918f, 0.2162774f, 0.1912672f, 0.3929251f,
    0.3697263f, 0.3443984f, 0.3124503f, 0.2964374f, 0.2837084f, 0.2712437f, 0.2555022f,
    0.6704302f, 0.6153187f, 0.3387809f, 0.2722845f, 0.2470739f, 0.2101293f, 0.1591268f,
    0.1341477f, 0.6103470f, 0.4202048f, 0.3967027f, 0.3749697f, 0.3050684f, 0.2790566f,
    0.2536700f, 0.2000605f, 0.7063649f, 0.4239838f, 0.3786298f, 0.3539299f, 0.3209182f,
    0.2902454f, 0.2434091f, 0.1215368f, 0.4305765f, 0.3986232f, 0.3806540f, 0.3617477f,
    0.3238740f, 0.3057968f, 0.2922832f, 0.2727963f, 0.6234371f, 0.4862185f, 0.4481226f,
    0.3002273f, 0.2531360f, 0.2172784f, 0.1964029f, 0.1765945f, 0.4498853f, 0.4207018f,
    0.3971433f, 0.3704638f, 0.3425180f, 0.3041245f, 0.2438807f, 0.2221278f, 0.5509806f,
    0.4663075f, 0.4254689f, 0.3914454f, 0.2794005f, 0.2609785f, 0.2428798f, 0.2062560f,
    0.2927371f, 0.2870135f, 0.2837311f, 0.2809194f, 0.2766504f, 0.2730807f, 0.2674897f,
    0.2647128f, 0.7135526f, 0.4902033f, 0.3757794f, 0.2831963f, 0.2387301f, 0.2117185f,
    0.1880465f, 0.1563790f, 0.5566006f, 0.3988620f, 0.3743785f, 0.3398503f, 0.3087690f,
    0.2888849f, 0.2690930f, 0.2370469f, 0.7058368f, 0.4287748f, 0.3681662f, 0.3308604f,
    0.2785299f, 0.2255957f, 0.1936053f, 0.1715652f, 0.4385398f, 0.4146099f, 0.3496510f,
    0.3320890f, 0.3186849f, 0.3061901f, 0.2926549f, 0.2757876f, 0.5774990f, 0.4914361f,
    0.4669917f, 0.4341618f, 0.2801659f, 0.2423437f, 0.1906674f, 0.1495641f, 0.5092426f,
    0.4522424f, 0.4135247f, 0.3384572f, 0.3176175f, 0.2942759f, 0.2692212f, 0.2395108f,
    0.6037402f, 0.4630265f, 0.3399004f, 0.3119277f, 0.2940800f, 0.2772036f, 0.2538737f,
    0.2169415f, 0.4364711f, 0.3609333f, 0.3429321f, 0.3306247f, 0.3167970f, 0.3024527f,
    0.2883090f, 0.2708783f, 0.6538394f, 0.5256489f, 0.3172006f, 0.2905986f, 0.2638017f,
    0.2313658f, 0.2039295f, 0.1783035f, 0.5056660f, 0.4007942f, 0.3779861f, 0.3613507f,
    0.3437875f, 0.3269585f, 0.3052077f, 0.2129380f, 0.5988211f, 0.4851493f, 0.3885504f,
    0.3306124f, 0.3025783f, 0.2707857f, 0.2359893f, 0.1938530f, 0.4017349f, 0.3689498f,
    0.3558428f, 0.3480279f, 0.3376993f, 0.3264321f, 0.2562449f, 0.2451898f, 0.6042078f,
    0.5487810f, 0.5075758f, 0.3028448f, 0.2583988f, 0.2137399f, 0.1696770f, 0.1357764f,
    0.4730493f, 0.4374530f, 0.4136199f, 0.3777679f, 0.3073157f, 0.2768388f, 0.2596311f,
    0.2368742f, 0.4984186f, 0.4528665f, 0.4249806f, 0.3905217f, 0.3550791f, 0.2870348f,
    0.2306657f, 0.2008654f, 0.3605064f, 0.3459845f, 0.3333176f, 0.3207881f, 0.3104147f,
    0.2990036f, 0.2877288f, 0.2716518f, 0.6566507f, 0.5107041f, 0.4494129f, 0.3501040f,
    0.2910501f, 0.2466578f, 0.1561600f, 0.1223172f, 0.5109907f, 0.3810721f, 0.3577834f,
    0.3453138f, 0.3285502f, 0.3050152f, 0.2824345f, 0.2452722f, 0.6335637f, 0.3647125f,
    0.3428373f, 0.3185322f, 0.2962489f, 0.2654192f, 0.2425943f, 0.2086104f, 0.4779171f,
    0.4330745f, 0.3676249f, 0.3426332f, 0.3216317f, 0.2960433f, 0.2780469f, 0.2567016f,
    0.5318717f, 0.4948177f, 0.4501231f, 0.3955380f, 0.3424419f, 0.2340654f, 0.1875173f,
    0.1632807f, 0.5079194f, 0.4881872f, 0.4123915f, 0.3960980f, 0.2947975f, 0.2852817f,
    0.2578776f, 0.2500281f, 0.5582035f, 0.5350567f, 0.3483843f, 0.3334774f, 0.3074844f,
    0.2976342f, 0.2361024f, 0.2216954f, 0.3733845f, 0.3608140f, 0.3494417f, 0.3393483f,
    0.3283774f, 0.3171411f, 0.3037383f, 0.2882868f, 0.6420153f, 0.5796957f, 0.4303883f,
    0.3102298f, 0.2641938f, 0.1961729f, 0.1636241f, 0.1358557f, 0.6197298f, 0.4189947f,
    0.3806685f, 0.3648213f, 0.3461220f, 0.3258589f, 0.2879903f, 0.1454416f, 0.6084735f,
    0.4503271f, 0.4261846f, 0.3745837f, 0.3259474f, 0.2945249f, 0.2452917f, 0.1489985f,
    0.4170184f, 0.4036628f, 0.3953018f, 0.3861109f, 0.3764178f, 0.3575422f, 0.3130930f,
    0.1903278f, 0.5702160f, 0.5265383f, 0.4609726f, 0.3330544f, 0.2937674f, 0.2507911f,
    0.2208580f, 0.1670353f, 0.4669255f, 0.4297047f, 0.4052847f, 0.3656533f, 0.3448106f,
    0.3249520f, 0.2867316f, 0.2522389f, 0.5534799f, 0.4544249f, 0.4032985f, 0.3714730f,
    0.3340221f, 0.2998257f, 0.2670754f, 0.1982821f};

const FLOAT32 ia_hoa_coded_vec_q_mat_elems_0[1] = {
    1.000000f,
};
const FLOAT32 ia_hoa_coded_vec_q_mat_elems_1[16] = {
    1.000000f, 0.000000f, 1.732051f,  -0.000000f, 1.000000f, 0.000000f,  -0.577350f, 1.632993f,
    1.000000f, 1.414213f, -0.577350f, -0.816496f, 1.000000f, -1.414213f, -0.577350f, -0.816496f,
};
const FLOAT32 ia_hoa_coded_vec_q_mat_elems_2[81] = {
    1.000000f,  0.000000f,  1.732051f,  -0.000000f, 0.000000f,  0.000000f,  2.236068f,
    -0.000000f, 0.000000f,  1.000000f,  0.000000f,  -1.230705f, 1.218755f,  0.000000f,
    -0.000000f, 0.575381f,  -1.936399f, 0.958798f,  1.000000f,  -1.500000f, 0.615353f,
    -0.609376f, 1.180052f,  -1.191626f, -0.694680f, -0.484099f, -1.212672f, 1.000000f,
    1.499999f,  0.615353f,  -0.609379f, -1.180057f, 1.191625f,  -0.694680f, -0.484101f,
    -1.212667f, 1.000000f,  -1.065823f, -1.294812f, -0.432991f, 0.595783f,  1.781626f,
    0.756394f,  0.723786f,  -0.612253f, 1.000000f,  -0.000001f, 0.016901f,  -1.731968f,
    0.000003f,  -0.000000f, -1.117714f, -0.037789f, 1.936307f,  1.000000f,  1.065822f,
    -1.294813f, -0.432993f, -0.595785f, -1.781624f, 0.756396f,  0.723789f,  -0.612250f,
    1.000000f,  1.065824f,  0.420336f,  1.298975f,  1.787355f,  0.578371f,  -0.920497f,
    0.704890f,  0.355897f,  1.000000f,  -1.065820f, 0.420338f,  1.298978f,  -1.787352f,
    -0.578372f, -0.920495f, 0.704895f,  0.355907f,
};
const FLOAT32 ia_hoa_coded_vec_q_mat_elems_3[256] = {
    1.000000f,  0.000000f,  1.732051f,  -0.000000f, 0.000000f,  0.000000f,  2.236068f,
    -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,  2.645751f,  -0.000000f,
    0.000000f,  -0.000000f, 1.000000f,  0.000000f,  1.137782f,  1.305930f,  0.000000f,
    0.000000f,  0.329314f,  1.918241f,  1.100864f,  0.000000f,  0.000000f,  0.000000f,
    -0.732059f, 1.414082f,  1.913292f,  0.896533f,  1.000000f,  1.396088f,  -0.770759f,
    0.675919f,  1.218238f,  -1.389172f, -0.453843f, -0.672571f, -0.963208f, -0.325084f,
    -1.434298f, -0.012906f, 1.183172f,  -0.006249f, 1.134038f,  -1.466617f, 1.000000f,
    -0.221451f, -1.488714f, 0.857139f,  -0.245049f, 0.425612f,  1.359833f,  -1.647355f,
    0.442583f,  -0.192104f, 0.557254f,  -0.558014f, -0.788852f, 2.159825f,  -1.006456f,
    0.202728f,  1.000000f,  1.396767f,  0.818469f,  0.615750f,  1.110332f,  1.475880f,
    -0.369072f, 0.650626f,  -1.014600f, -0.457401f, 1.388174f,  0.152197f,  -1.177415f,
    0.067094f,  -1.268486f, -1.356735f, 1.000000f,  1.523306f,  -0.285881f, -0.773182f,
    -1.520525f, -0.562207f, -1.026659f, 0.285359f,  -1.111965f, -0.323167f, 0.663998f,
    -1.230829f, 0.625294f,  0.624730f,  0.485584f,  1.980569f,  1.000000f,  -1.523306f,
    -0.770758f, 0.292355f,  -0.574939f, 1.515757f,  -0.453845f, -0.290906f, -1.442679f,
    1.265651f,  0.676905f,  0.014087f,  1.183172f,  -0.002703f, 1.698542f,  -0.809184f,
    1.000000f,  0.456795f,  -0.285881f, 1.646089f,  0.970733f,  -0.168590f, -1.026659f,
    -0.607524f, 1.614355f,  1.456342f,  -0.423910f, -0.369090f, 0.625295f,  -1.330037f,
    -0.704974f, 1.380637f,  1.000000f,  -1.396088f, 0.003318f,  -1.025146f, 1.847665f,
    -0.005981f, -1.118021f, -0.004392f, -0.579746f, -0.676461f, 0.009366f,  1.305897f,
    -0.007603f, 0.958919f,  -0.002939f, 1.979230f,  1.000000f,  1.027814f,  1.053321f,
    -0.913297f, -1.211856f, 1.397654f,  0.122409f,  -1.241931f, -0.143487f, 0.598233f,
    -1.949847f, 0.816394f,  -0.925849f, -0.725433f, -0.230867f, 0.858467f,  1.000000f,
    -0.456795f, 1.053321f,  -1.296862f, 0.764786f,  -0.621165f, 0.122409f,  -1.763515f,
    0.950940f,  -0.889396f, 1.230522f,  -0.362833f, -0.925849f, -1.030099f, 1.530038f,
    -0.551200f, 1.000000f,  0.221451f,  -0.331669f, -1.685513f, -0.481875f, -0.094822f,
    -0.995045f, 0.721708f,  1.802173f,  0.755379f,  0.244134f,  -0.169170f, 0.713506f,
    1.287588f,  -0.913040f, -1.827721f, 1.000000f,  0.682211f,  -1.526824f, -0.450993f,
    -0.397204f, -1.344721f, 1.488319f,  0.888963f,  -0.169131f, 0.039757f,  0.926383f,
    1.841268f,  -1.032401f, -1.217219f, 0.394458f,  0.216551f,  1.000000f,  -1.027814f,
    0.003318f,  1.394126f,  -1.849869f, -0.004403f, -1.118021f, 0.005972f,  0.572676f,
    -1.975318f, -0.009376f, 0.961414f,  -0.007603f, -1.304062f, 0.002903f,  -0.687802f,
    1.000000f,  -1.396767f, 1.001914f,  0.212624f,  -0.383407f, -1.806670f, 0.004284f,
    0.275021f,  -1.230156f, 1.020675f,  -0.586785f, -0.879382f, -1.015412f, 0.133864f,
    -1.882692f, -0.497074f, 1.000000f,  -0.682211f, -1.343008f, -0.854937f, 0.752969f,
    1.182829f,  0.898531f,  1.482303f,  0.171382f,  -0.474355f, -1.544701f, -1.280204f,
    -0.006275f, -1.604333f, -0.351587f, 0.228966f,
};
const FLOAT32 ia_hoa_coded_vec_q_mat_elems_4[800] = {
    1.000000f,  -0.000000f, 0.618034f,  1.618034f,  -0.000000f, -0.000000f, -0.690983f,
    1.290994f,  1.689933f,  -0.000000f, -0.000000f, 0.000000f,  -1.115594f, -0.550002f,
    1.595403f,  1.705179f,  -0.000000f, -0.000000f, 0.000000f,  0.000000f,  -0.094604f,
    -1.667110f, -0.159152f, 1.825337f,  1.689559f,  1.000000f,  0.910593f,  0.000000f,
    1.473370f,  1.732051f,  0.000000f,  -1.118034f, 0.000000f,  0.866025f,  2.083199f,
    0.000000f,  -0.851781f, -0.000000f, -1.378211f, 0.000000f,  -0.187842f, 1.774824f,
    0.000000f,  -1.500000f, -0.000000f, 1.125000f,  -0.000000f, -0.750000f, -0.000000f,
    -1.331118f, 1.000000f,  -0.000000f, -0.618034f, 1.618034f,  -0.000000f, 0.000000f,
    -0.690983f, -1.290994f, 1.689933f,  -0.000000f, 0.000000f,  0.000000f,  1.115594f,
    -0.550002f, -1.595403f, 1.705179f,  -0.000000f, 0.000000f,  0.000000f,  -0.000000f,
    -0.094604f, 1.667110f,  -0.159152f, -1.825337f, 1.689559f,  1.000000f,  -0.910593f,
    0.000000f,  1.473370f,  -1.732051f, -0.000000f, -1.118034f, 0.000000f,  0.866025f,
    -2.083199f, -0.000000f, 0.851781f,  -0.000000f, -1.378211f, 0.000000f,  -0.187842f,
    -1.774824f, -0.000000f, 1.500000f,  0.000000f,  1.125000f,  -0.000000f, -0.750000f,
    -0.000000f, -1.331118f, 1.000000f,  -0.000000f, 1.473370f,  0.910593f,  -0.000000f,
    -0.000000f, 1.309017f,  1.732051f,  0.535233f,  -0.000000f, -0.000000f, -0.000000f,
    0.695477f,  2.229993f,  1.204601f,  0.303934f,  -0.000000f, -0.000000f, -0.000000f,
    -0.000000f, -0.143237f, 2.190526f,  1.884346f,  0.775626f,  0.169480f,  1.000000f,
    1.000000f,  1.000000f,  1.000000f,  1.290994f,  1.290994f,  0.000000f,  1.290994f,
    0.000000f,  0.805076f,  1.972026f,  0.623610f,  -1.018350f, 0.623610f,  0.000000f,
    -0.805076f, 0.000000f,  1.394433f,  1.490712f,  -0.527046f, -1.166666f, -0.527046f,
    0.000000f,  -1.394433f, -0.986013f, 1.000000f,  1.618034f,  0.000000f,  0.618034f,
    1.290994f,  0.000000f,  -1.118034f, 0.000000f,  -1.443375f, -0.958832f, 0.000000f,
    -1.513532f, -0.000000f, -0.578118f, -0.000000f, -1.858935f, -2.204793f, -0.000000f,
    -1.118034f, -0.000000f, 1.125000f,  -0.000000f, 1.250000f,  -0.000000f, 0.246503f,
    1.000000f,  1.000000f,  -1.000000f, 1.000000f,  1.290994f,  -1.290994f, 0.000000f,
    -1.290994f, 0.000000f,  0.805076f,  -1.972026f, 0.623610f,  1.018350f,  0.623610f,
    -0.000000f, -0.805076f, 0.000000f,  -1.394433f, 1.490712f,  0.527046f,  -1.166666f,
    0.527046f,  0.000000f,  1.394433f,  -0.986013f, 1.000000f,  -0.000000f, -1.473370f,
    0.910593f,  -0.000000f, -0.000000f, 1.309017f,  -1.732051f, 0.535233f,  -0.000000f,
    -0.000000f, -0.000000f, -0.695477f, 2.229993f,  -1.204601f, 0.303934f,  -0.000000f,
    -0.000000f, -0.000000f, -0.000000f, -0.143237f, -2.190526f, 1.884346f,  -0.775626f,
    0.169480f,  1.000000f,  -1.000000f, -1.000000f, 1.000000f,  -1.290994f, 1.290994f,
    0.000000f,  -1.290994f, -0.000000f, -0.805076f, 1.972026f,  -0.623610f, 1.018350f,
    0.623610f,  0.000000f,  -0.805076f, 0.000000f,  1.394433f,  -1.490712f, -0.527046f,
    -1.166666f, 0.527046f,  -0.000000f, 1.394433f,  -0.986013f, 1.000000f,  -1.618034f,
    0.000000f,  0.618034f,  -1.290994f, -0.000000f, -1.118034f, 0.000000f,  -1.443375f,
    0.958832f,  -0.000000f, 1.513532f,  -0.000000f, -0.578118f, -0.000000f, -1.858935f,
    2.204793f,  0.000000f,  1.118034f,  0.000000f,  1.125000f,  -0.000000f, 1.250000f,
    -0.000000f, 0.246503f,  1.000000f,  -1.000000f, 1.000000f,  1.000000f,  -1.290994f,
    -1.290994f, 0.000000f,  1.290994f,  -0.000000f, -0.805076f, -1.972026f, -0.623610f,
    -1.018350f, 0.623610f,  -0.000000f, -0.805076f, 0.000000f,  -1.394433f, -1.490712f,
    0.527046f,  -1.166666f, -0.527046f, -0.000000f, -1.394433f, -0.986013f, 1.000000f,
    0.618034f,  1.618034f,  0.000000f,  0.000000f,  1.290994f,  1.809017f,  0.000000f,
    -0.246558f, -0.095026f, 0.000000f,  1.944436f,  1.684869f,  0.000000f,  -0.609390f,
    -0.000000f, -0.000000f, -0.266313f, 0.000000f,  2.457679f,  1.302938f,  0.000000f,
    -1.090847f, -0.000000f, 0.035964f,  1.000000f,  1.473370f,  0.910593f,  0.000000f,
    0.000000f,  1.732051f,  -0.190983f, 0.000000f,  -1.401258f, -1.287487f, 0.000000f,
    0.526430f,  -1.125305f, 0.000000f,  -1.949086f, -0.000000f, -0.000000f, -2.030617f,
    0.000000f,  -1.129866f, -0.981763f, -0.000000f, -1.134346f, -0.000000f, 1.161637f,
    1.000000f,  1.473370f,  -0.910593f, -0.000000f, -0.000000f, -1.732051f, -0.190983f,
    0.000000f,  -1.401258f, -1.287487f, 0.000000f,  0.526430f,  1.125305f,  -0.000000f,
    1.949086f,  0.000000f,  0.000000f,  2.030617f,  -0.000000f, 1.129866f,  -0.981763f,
    -0.000000f, -1.134346f, -0.000000f, 1.161637f,  1.000000f,  0.618034f,  -1.618034f,
    0.000000f,  0.000000f,  -1.290994f, 1.809017f,  -0.000000f, -0.246558f, -0.095026f,
    -0.000000f, 1.944436f,  -1.684869f, 0.000000f,  0.609390f,  -0.000000f, -0.000000f,
    0.266313f,  0.000000f,  -2.457679f, 1.302938f,  -0.000000f, -1.090847f, 0.000000f,
    0.035964f,  1.000000f,  0.000000f,  0.618034f,  -1.618034f, -0.000000f, 0.000000f,
    -0.690983f, -1.290994f, 1.689933f,  0.000000f,  -0.000000f, -0.000000f, -1.115594f,
    0.550002f,  1.595403f,  -1.705179f, -0.000000f, 0.000000f,  0.000000f,  -0.000000f,
    -0.094604f, 1.667110f,  -0.159152f, -1.825337f, 1.689559f,  1.000000f,  -0.910593f,
    0.000000f,  -1.473370f, 1.732051f,  -0.000000f, -1.118034f, -0.000000f, 0.866025f,
    -2.083199f, 0.000000f,  0.851781f,  -0.000000f, 1.378211f,  0.000000f,  0.187842f,
    1.774824f,  -0.000000f, -1.500000f, 0.000000f,  1.125000f,  0.000000f,  -0.750000f,
    0.000000f,  -1.331118f, 1.000000f,  0.000000f,  -0.618034f, -1.618034f, -0.000000f,
    -0.000000f, -0.690983f, 1.290994f,  1.689933f,  0.000000f,  0.000000f,  -0.000000f,
    1.115594f,  0.550002f,  -1.595403f, -1.705179f, -0.000000f, -0.000000f, 0.000000f,
    0.000000f,  -0.094604f, -1.667110f, -0.159152f, 1.825337f,  1.689559f,  1.000000f,
    0.910593f,  0.000000f,  -1.473370f, -1.732051f, 0.000000f,  -1.118034f, -0.000000f,
    0.866025f,  2.083199f,  -0.000000f, -0.851781f, -0.000000f, 1.378211f,  0.000000f,
    0.187842f,  -1.774824f, 0.000000f,  1.500000f,  -0.000000f, 1.125000f,  0.000000f,
    -0.750000f, 0.000000f,  -1.331118f, 1.000000f,  0.000000f,  1.473370f,  -0.910593f,
    -0.000000f, 0.000000f,  1.309017f,  -1.732051f, 0.535233f,  0.000000f,  -0.000000f,
    0.000000f,  0.695477f,  -2.229993f, 1.204601f,  -0.303934f, -0.000000f, 0.000000f,
    -0.000000f, 0.000000f,  -0.143237f, -2.190526f, 1.884346f,  -0.775626f, 0.169480f,
    1.000000f,  -1.000000f, 1.000000f,  -1.000000f, 1.290994f,  -1.290994f, 0.000000f,
    -1.290994f, 0.000000f,  -0.805076f, 1.972026f,  -0.623610f, -1.018350f, -0.623610f,
    0.000000f,  0.805076f,  0.000000f,  -1.394433f, 1.490712f,  0.527046f,  -1.166666f,
    0.527046f,  0.000000f,  1.394433f,  -0.986013f, 1.000000f,  -1.618034f, 0.000000f,
    -0.618034f, 1.290994f,  -0.000000f, -1.118034f, -0.000000f, -1.443375f, 0.958832f,
    0.000000f,  1.513532f,  -0.000000f, 0.578118f,  -0.000000f, 1.858935f,  -2.204793f,
    0.000000f,  -1.118034f, 0.000000f,  1.125000f,  0.000000f,  1.250000f,  0.000000f,
    0.246503f,  1.000000f,  -1.000000f, -1.000000f, -1.000000f, 1.290994f,  1.290994f,
    0.000000f,  1.290994f,  0.000000f,  -0.805076f, -1.972026f, -0.623610f, 1.018350f,
    -0.623610f, -0.000000f, 0.805076f,  0.000000f,  1.394433f,  1.490712f,  -0.527046f,
    -1.166666f, -0.527046f, 0.000000f,  -1.394433f, -0.986013f, 1.000000f,  0.000000f,
    -1.473370f, -0.910593f, -0.000000f, -0.000000f, 1.309017f,  1.732051f,  0.535233f,
    0.000000f,  0.000000f,  0.000000f,  -0.695477f, -2.229993f, -1.204601f, -0.303934f,
    -0.000000f, -0.000000f, -0.000000f, -0.000000f, -0.143237f, 2.190526f,  1.884346f,
    0.775626f,  0.169480f,  1.000000f,  1.000000f,  -1.000000f, -1.000000f, -1.290994f,
    -1.290994f, 0.000000f,  1.290994f,  -0.000000f, 0.805076f,  1.972026f,  0.623610f,
    1.018350f,  -0.623610f, 0.000000f,  0.805076f,  0.000000f,  -1.394433f, -1.490712f,
    0.527046f,  -1.166666f, -0.527046f, -0.000000f, -1.394433f, -0.986013f, 1.000000f,
    1.618034f,  0.000000f,  -0.618034f, -1.290994f, 0.000000f,  -1.118034f, -0.000000f,
    -1.443375f, -0.958832f, -0.000000f, -1.513532f, -0.000000f, 0.578118f,  -0.000000f,
    1.858935f,  2.204793f,  -0.000000f, 1.118034f,  -0.000000f, 1.125000f,  0.000000f,
    1.250000f,  0.000000f,  0.246503f,  1.000000f,  1.000000f,  1.000000f,  -1.000000f,
    -1.290994f, 1.290994f,  0.000000f,  -1.290994f, -0.000000f, 0.805076f,  -1.972026f,
    0.623610f,  -1.018350f, -0.623610f, -0.000000f, 0.805076f,  0.000000f,  1.394433f,
    -1.490712f, -0.527046f, -1.166666f, 0.527046f,  -0.000000f, 1.394433f,  -0.986013f,
    1.000000f,  -0.618034f, 1.618034f,  -0.000000f, 0.000000f,  -1.290994f, 1.809017f,
    -0.000000f, -0.246558f, 0.095026f,  0.000000f,  -1.944436f, 1.684869f,  -0.000000f,
    -0.609390f, 0.000000f,  -0.000000f, 0.266313f,  0.000000f,  -2.457679f, 1.302938f,
    -0.000000f, -1.090847f, 0.000000f,  0.035964f,  1.000000f,  -1.473370f, 0.910593f,
    -0.000000f, 0.000000f,  -1.732051f, -0.190983f, -0.000000f, -1.401258f, 1.287487f,
    0.000000f,  -0.526430f, -1.125305f, -0.000000f, -1.949086f, 0.000000f,  -0.000000f,
    2.030617f,  0.000000f,  1.129866f,  -0.981763f, 0.000000f,  -1.134346f, 0.000000f,
    1.161637f,  1.000000f,  -1.473370f, -0.910593f, -0.000000f, 0.000000f,  1.732051f,
    -0.190983f, 0.000000f,  -1.401258f, 1.287487f,  -0.000000f, -0.526430f, 1.125305f,
    -0.000000f, 1.949086f,  0.000000f,  -0.000000f, -2.030617f, 0.000000f,  -1.129866f,
    -0.981763f, -0.000000f, -1.134346f, -0.000000f, 1.161637f,  1.000000f,  -0.618034f,
    -1.618034f, -0.000000f, 0.000000f,  1.290994f,  1.809017f,  0.000000f,  -0.246558f,
    0.095026f,  -0.000000f, -1.944436f, -1.684869f, -0.000000f, 0.609390f,  0.000000f,
    -0.000000f, -0.266313f, 0.000000f,  2.457679f,  1.302938f,  0.000000f,  -1.090847f,
    -0.000000f, 0.035964f,
};
const FLOAT32 ia_hoa_coded_vec_q_mat_elems_5[1296] = {
    1.000000f,  0.000000f,  1.732051f,  -0.000000f, 0.000000f,  0.000000f,  2.236068f,
    -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,  2.645751f,  -0.000000f,
    0.000000f,  -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,  3.000000f,
    -0.000000f, 0.000000f,  -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,
    0.000000f,  0.000000f,  3.316625f,  -0.000000f, 0.000000f,  -0.000000f, 0.000000f,
    -0.000000f, 1.000000f,  0.000000f,  -0.759770f, 1.556518f,  0.000000f,  -0.000000f,
    -0.472648f, -1.526725f, 1.563878f,  0.000000f,  -0.000000f, -0.000000f, 1.182570f,
    -0.055205f, -1.814987f, 1.517993f,  0.000000f,  -0.000000f, 0.000000f,  0.000000f,
    -0.553746f, 1.545506f,  0.469851f,  -1.997619f, 1.446904f,  0.000000f,  -0.000000f,
    0.000000f,  0.000000f,  -0.000000f, -0.702573f, -1.322196f, 1.272398f,  0.921022f,
    -2.105027f, 1.363734f,  1.000000f,  -1.528482f, 0.550989f,  0.600127f,  -1.184208f,
    -1.087246f, -0.778611f, 0.426885f,  -1.275571f, 0.772659f,  -0.996689f, 0.706329f,
    -1.049545f, -0.277326f, -1.073584f, -1.606135f, 1.787296f,  0.737381f,  0.299077f,
    1.525763f,  0.120949f,  -0.599060f, 0.322151f,  -1.532802f, 0.132952f,  0.526441f,
    1.885713f,  -0.057167f, 1.151043f,  0.285790f,  1.129105f,  -0.112209f, 1.239846f,
    0.118833f,  0.140273f,  1.702532f,  1.000000f,  0.122111f,  -1.598400f, 0.655901f,
    0.103399f,  -0.251980f, 1.738412f,  -1.353468f, 0.268072f,  0.062707f,  -0.252459f,
    0.372159f,  -1.535933f, 1.998995f,  -0.654523f, 0.101774f,  0.032797f,  -0.173604f,
    0.444275f,  -0.456959f, 1.063352f,  -2.454482f, 1.151821f,  -0.281763f, 0.036189f,
    0.015701f,  -0.100382f, 0.346519f,  -0.650962f, 0.487652f,  -0.412449f, 2.619345f,
    -1.687675f, 0.562409f,  -0.110764f, 0.011948f,  1.000000f,  0.125377f,  1.406072f,
    1.003614f,  0.162446f,  0.227588f,  1.092362f,  1.821792f,  0.640025f,  0.151710f,
    0.348903f,  0.269163f,  0.316871f,  2.154596f,  1.374653f,  0.387867f,  0.123018f,
    0.369473f,  0.508298f,  0.224814f,  -0.588734f, 1.799588f,  2.002656f,  0.944607f,
    0.226729f,  0.091974f,  0.331217f,  0.620292f,  0.565305f,  0.103916f,  -1.268848f,
    0.831828f,  2.227261f,  1.585860f,  0.610452f,  0.128448f,  1.000000f,  -0.504504f,
    -0.333400f, -1.623058f, 1.057118f,  0.217148f,  -0.993757f, 0.698594f,  1.536151f,
    -1.553262f, -0.538367f, 0.384492f,  0.716742f,  1.236964f,  -0.782327f, -1.222238f,
    1.921416f,  0.896957f,  -0.678046f, -0.364437f, 0.726184f,  -1.172444f, -0.985301f,
    0.705802f,  0.734931f,  -2.112904f, -1.226658f, 0.858424f,  0.793543f,  -0.238568f,
    -0.996951f, -0.767507f, 1.153136f,  0.675481f,  -0.469190f, -0.135319f, 1.000000f,
    -1.462176f, 0.830816f,  -0.414470f, 0.782379f,  -1.568299f, -0.346305f, -0.444552f,
    -1.269160f, 0.955034f,  0.992911f,  -0.205744f, -1.173640f, -0.058320f, -1.610681f,
    1.041430f,  -1.174890f, 1.374310f,  0.413716f,  1.334360f,  -0.768631f, 0.378239f,
    -0.671122f, 1.498635f,  0.590809f,  -0.228230f, -1.869124f, 0.847911f,  -0.510012f,
    1.503857f,  0.443303f,  0.426285f,  0.827331f,  0.924617f,  0.939913f,  -1.188516f,
    1.000000f,  0.877771f,  -1.066771f, 1.044757f,  1.183916f,  -1.208862f, 0.154289f,
    -1.438835f, 0.207228f,  0.884780f,  -1.929215f, 0.736235f,  0.898951f,  0.876295f,
    -0.337682f, -0.513046f, 0.290290f,  -1.634808f, 1.697216f,  0.255147f,  -1.253894f,
    0.303686f,  0.297073f,  0.947957f,  -0.803826f, -0.243600f, -0.592979f, 1.770960f,
    -0.441496f, -1.048796f, 0.635290f,  -1.248317f, -0.077277f, -1.026906f, 1.641985f,
    -0.662821f, 1.000000f,  1.074627f,  -0.996960f, -0.922631f, -1.280000f, -1.383120f,
    -0.006787f, 1.187490f,  -0.195956f, 0.605143f,  1.949289f,  0.659976f,  1.022959f,
    -0.566629f, 0.298418f,  0.970535f,  0.296779f,  -1.044952f, -1.462314f, 0.576654f,
    -1.161554f, -0.495092f, -0.223867f, -1.675905f, -0.946574f, -0.781759f, -0.566562f,
    0.994378f,  -0.019624f, -1.328188f, 0.304589f,  1.140329f,  -0.003004f, 1.594794f,
    1.807041f,  0.335713f,  1.000000f,  -1.089097f, -0.960827f, -0.943758f, 1.326941f,
    1.350940f,  -0.085878f, 1.170659f,  -0.190713f, -0.651426f, -1.947535f, -0.548750f,
    1.072405f,  -0.475520f, 0.279908f,  1.013462f,  -0.299431f, 1.084104f,  1.326258f,
    -0.699790f, -1.094053f, -0.606404f, -0.190615f, -1.686604f, -1.020169f, 0.843899f,
    0.550906f,  -0.955802f, 0.248072f,  1.332260f,  0.132267f,  1.154472f,  -0.035654f,
    1.486998f,  1.876952f,  0.385531f,  1.000000f,  -0.701663f, 1.405489f,  -0.729567f,
    0.660873f,  -1.273153f, 1.090531f,  -1.323784f, 0.025779f,  -0.311954f, 1.418843f,
    -1.504564f, 0.313809f,  -1.564397f, 0.055345f,  0.277446f,  0.020158f,  -0.759415f,
    2.065704f,  -1.254656f, -0.592033f, -1.304551f, 0.080577f,  0.675408f,  -0.257994f,
    0.100710f,  0.054251f,  -1.274205f, 2.295005f,  -0.576707f, -1.270710f, -0.599641f,
    0.089522f,  1.133253f,  -0.694341f, 0.122540f,  1.000000f,  0.417894f,  0.566682f,
    -1.582478f, -0.853744f, 0.305724f,  -0.759002f, -1.157714f, 1.503751f,  1.234398f,
    -0.739019f, -0.181686f, -1.066785f, 0.688010f,  1.301678f,  -1.261487f, -1.519035f,
    1.211588f,  0.185359f,  -0.421369f, 0.071157f,  1.595639f,  -0.326484f, -1.238176f,
    0.906573f,  1.685003f,  -1.648325f, -0.037476f, 0.831974f,  -0.099940f, 1.116157f,
    0.378452f,  -1.465405f, 0.038298f,  0.983735f,  -0.484326f, 1.000000f,  -0.910647f,
    1.426168f,  0.369821f,  -0.434776f, -1.676660f, 1.155996f,  0.680905f,  -0.447013f,
    0.153583f,  -0.947164f, -2.035814f, 0.424726f,  0.826760f,  -0.973822f, -0.349996f,
    0.229959f,  0.379382f,  -1.410432f, -1.792580f, -0.469247f, 0.727981f,  -1.450129f,
    -0.864559f, 0.006384f,  0.047976f,  0.627996f,  0.649697f,  -1.624025f, -0.980229f,
    -1.194818f, 0.398079f,  -1.669735f, -1.480569f, 0.017433f,  0.128234f,  1.000000f,
    -0.572091f, 0.732816f,  -1.461401f, 1.079341f,  -0.541233f, -0.517628f, -1.382575f,
    1.167320f,  -1.400106f, 1.208209f,  0.056173f,  -1.178145f, 0.143493f,  1.306692f,
    -0.678762f, 1.490778f,  -1.777118f, 0.236530f,  0.579004f,  -0.468253f, 1.479061f,
    0.255810f,  -0.861535f, 0.116936f,  -1.359731f, 2.091912f,  -0.709380f, -0.927623f,
    0.441871f,  0.787264f,  1.128755f,  -1.003235f, -0.343902f, 0.164088f,  0.412954f,
    1.000000f,  1.045132f,  0.845761f,  1.091964f,  1.473344f,  1.141152f,  -0.318291f,
    1.192286f,  0.064605f,  1.045394f,  1.903445f,  0.187887f,  -1.167776f, 0.196307f,
    0.083465f,  -0.916265f, 0.112625f,  1.531399f,  0.853690f,  -0.930073f, -0.811232f,
    -0.971750f, 0.037434f,  -1.342238f, -1.281759f, -0.736703f, 0.182397f,  0.993291f,
    -0.898620f, -1.108595f, 0.382829f,  -1.158272f, -0.039403f, -0.870598f, -2.075821f,
    -0.918797f, 1.000000f,  -0.774977f, -0.110448f, 1.545060f,  -1.545819f, 0.110503f,
    -1.104395f, -0.220307f, 1.153260f,  -2.046770f, 0.260799f,  0.710186f,  0.251354f,
    -1.415887f, -0.194569f, 0.364114f,  -2.109355f, 0.391551f,  1.300614f,  -0.201080f,
    1.079471f,  0.400890f,  -0.970324f, -0.069656f, -0.626838f, -1.679314f, 0.446113f,
    1.634984f,  -0.427211f, -0.677774f, -0.389051f, 1.351268f,  0.318721f,  -0.290858f,
    0.132571f,  -1.576319f, 1.000000f,  -1.318459f, 0.083567f,  -1.120126f, 1.906592f,
    -0.142242f, -1.110226f, -0.120844f, -0.312196f, -1.075106f, 0.243378f,  1.218951f,
    -0.190733f, 1.035586f,  -0.039852f, 1.785683f,  -0.704287f, -0.155614f, -1.624252f,
    0.259895f,  1.098883f,  0.220800f,  0.265964f,  0.258464f,  -2.092889f, 2.148590f,
    -0.112699f, 0.872755f,  -0.400779f, -1.182551f, 0.296783f,  -1.004662f, 0.065626f,
    -1.449591f, -0.334902f, 0.857264f,  1.000000f,  1.681753f,  -0.256080f, -0.325775f,
    -0.707300f, -0.555985f, -1.044716f, 0.107700f,  -1.757149f, -1.699131f, 0.276674f,
    -1.401200f, 0.565377f,  0.271428f,  0.687343f,  1.098762f,  1.470539f,  0.753640f,
    0.518813f,  0.969313f,  0.885357f,  -0.187767f, 1.288890f,  -0.487350f, 1.530668f,
    1.268672f,  -0.721089f, 1.131681f,  -0.428724f, 1.097566f,  -0.827475f, -0.212611f,
    -1.065083f, -0.731814f, -0.750574f, -1.799476f, 1.000000f,  0.335225f,  1.404568f,
    -0.956459f, -0.413930f, 0.607859f,  1.087636f,  -1.734336f, 0.517971f,  0.355172f,
    -0.888092f, 0.717463f,  0.308973f,  -2.047056f, 1.111314f,  -0.222416f, -0.253686f,
    0.864058f,  -1.291661f, 0.596779f,  -0.597232f, -1.702722f, 1.616322f,  -0.541089f,
    0.057360f,  0.158569f,  -0.682299f, 1.448448f,  -1.432691f, 0.271867f,  -1.273624f,
    -0.775689f, 1.792799f,  -0.907045f, 0.154273f,  0.018274f,  1.000000f,  -1.705813f,
    -0.217277f, -0.207344f, 0.456612f,  0.478486f,  -1.065252f, 0.058161f,  -1.850516f,
    1.909467f,  -0.151548f, 1.470093f,  0.484787f,  0.178692f,  0.614179f,  0.725002f,
    -0.999781f, -0.718599f, -0.351879f, -0.846759f, 0.951215f,  -0.102925f, 1.426060f,
    -0.272843f, 1.902561f,  -1.839670f, 0.415962f,  -1.359015f, 0.239449f,  -1.241171f,
    -0.723624f, -0.150866f, -0.970418f, -0.516002f, -0.791567f, -1.271567f, 1.000000f,
    -1.443601f, -0.414265f, 0.862786f,  -1.607958f, 0.772059f,  -0.926161f, -0.461431f,
    -0.864698f, -0.086710f, 1.017518f,  0.964125f,  0.858703f,  -0.576221f, 0.547182f,
    -1.912797f, 1.645141f,  0.062217f,  0.834910f,  -1.229041f, 0.524390f,  0.734552f,
    0.448982f,  1.372488f,  -1.087273f, 1.809925f,  -1.305022f, 0.034880f,  -1.397784f,
    -0.358447f, -1.110739f, 0.214230f,  -0.751674f, 0.769455f,  0.862488f,  0.870051f,
    1.000000f,  0.842944f,  -0.110470f, 1.509053f,  1.642206f,  -0.120218f, -1.104390f,
    -0.215216f, 1.011292f,  2.077018f,  -0.277116f, -0.772464f, 0.251403f,  -1.382879f,
    -0.170652f, 0.088431f,  1.965026f,  -0.397417f, -1.381695f, 0.218758f,  1.079453f,
    0.391625f,  -0.850865f, -0.016920f, -0.990428f, 1.290053f,  -0.415671f, -1.659122f,
    0.453938f,  0.737198f,  -0.389126f, 1.319746f,  0.279540f,  -0.070639f, 0.209510f,
    -1.908035f, 1.000000f,  -0.520454f, -1.638366f, -0.211855f, 0.142346f,  1.100824f,
    1.883042f,  0.448100f,  -0.145876f, 0.028539f,  -0.356243f, -1.691157f, -1.844126f,
    -0.688401f, 0.365076f,  0.065472f,  -0.024569f, -0.080987f, 0.648829f,  2.199795f,
    1.566620f,  0.895447f,  -0.664916f, -0.185793f, 0.000602f,  0.002962f,  0.077080f,
    0.166893f,  -0.994988f, -2.550158f, -1.099524f, -1.038065f, 1.019658f,  0.382871f,
    -0.001888f, -0.007820f, 1.000000f,  -0.796882f, 0.893735f,  1.251486f,  -1.287491f,
    -0.919447f, -0.224991f, 1.443973f,  0.601085f,  -1.303513f, -1.757686f, -0.246933f,
    -1.139077f, 0.387804f,  0.820603f,  -0.170700f, -0.915681f, -2.017830f, -0.963112f,
    0.639743f,  -0.939911f, -1.004704f, 0.449644f,  -0.264243f, -0.766920f, -0.323848f,
    -1.567070f, -1.509128f, 0.586567f,  0.915168f,  0.177205f,  -1.437252f, -0.273848f,
    -0.197626f, -1.312485f, -1.023030f, 1.000000f,  1.267503f,  0.075575f,  -1.178016f,
    -1.927636f, 0.123666f,  -1.111648f, -0.114935f, -0.141262f, 1.304427f,  -0.222531f,
    -1.174354f, -0.172614f, 1.091444f,  -0.016307f, 1.627430f,  0.322191f,  0.170749f,
    1.647134f,  -0.226180f, 1.103629f,  0.210212f,  0.120706f,  0.213030f,  -2.186479f,
    -1.907975f, 0.046626f,  -1.063042f, 0.366919f,  1.143778f,  0.268934f,  -1.063026f,
    0.026888f,  -1.326272f, -0.316416f, 1.312384f,  1.000000f,  0.471845f,  -0.497018f,
    -1.590703f, -0.968975f, -0.302758f, -0.841849f, 1.020670f,  1.489612f,  1.399516f,
    0.735653f,  -0.259653f, 0.982524f,  0.875353f,  -1.130925f, -1.192544f, -1.707852f,
    -1.204788f, 0.355470f,  0.449338f,  0.287640f,  -1.514826f, -0.546467f, 1.026613f,
    0.757276f,  1.861400f,  1.625391f,  -0.300454f, -0.918584f, -0.004552f, -1.149578f,
    0.015346f,  1.412146f,  0.256021f,  -0.720713f, -0.241461f, 1.000000f,  -0.081428f,
    -1.291032f, -1.151784f, 0.121079f,  0.135717f,  0.745464f,  1.919695f,  0.852041f,
    -0.130233f, -0.238778f, -0.135424f, 0.218962f,  -1.915542f, -1.680295f, -0.605841f,
    0.122066f,  0.291218f,  0.302946f,  0.073894f,  -1.073967f, 1.045214f,  2.131845f,
    1.354742f,  0.420818f,  -0.105883f, -0.301763f, -0.431965f, -0.264017f, 0.022344f,
    1.373410f,  0.316045f,  -1.857905f, -2.009494f, -1.040322f, -0.287477f, 1.000000f,
    0.518304f,  -1.622901f, -0.312334f, -0.208991f, -1.085928f, 1.826653f,  0.654389f,
    -0.110436f, 0.005011f,  0.518095f,  1.643415f,  -1.722524f, -0.990336f, 0.273773f,
    0.089060f,  0.027309f,  -0.014086f, -0.931304f, -2.091768f, 1.364598f,  1.260517f,
    -0.492121f, -0.250344f, -0.018625f, -0.011010f, -0.084865f, 0.028677f,  1.403708f,
    2.352002f,  -0.816952f, -1.417336f, 0.741750f,  0.509634f,  0.057878f,  -0.005048f,
    1.000000f,  -1.314790f, -1.124571f, 0.081656f,  -0.138601f, 1.908831f,  0.295898f,
    -0.118549f, -1.111549f, 0.904319f,  0.238091f,  -1.362412f, 0.766344f,  0.084613f,
    1.909431f,  -0.170243f, 0.182289f,  -1.761445f, -0.234167f, -0.057426f, -1.285068f,
    0.003566f,  -1.877969f, 0.331601f,  0.719591f,  -0.563886f, -0.392539f, 2.094986f,
    0.104495f,  1.425919f,  0.891820f,  -0.088557f, 0.838026f,  -0.394392f, -1.549561f,
    0.180708f,  1.000000f,  -0.753114f, -1.211479f, 0.982414f,  -0.955168f, 1.177879f,
    0.522884f,  -1.536509f, 0.256881f,  -0.705821f, 1.767600f,  -1.018764f, 0.512480f,
    1.328948f,  -0.475374f, -0.291217f, -0.290319f, 1.481054f,  -2.005620f, 0.306257f,
    -1.237426f, -0.399504f, 0.539387f,  0.611074f,  -0.500712f, 0.055636f,  0.673483f,
    -1.991583f, 1.370884f,  0.574562f,  1.208410f,  -0.749499f, -0.368682f, -0.821715f,
    1.161554f,  -0.430259f, 1.000000f,  1.308934f,  -1.125648f, 0.140023f,  0.236615f,
    -1.902151f, 0.298609f,  -0.203482f, -1.093280f, -0.871744f, -0.406849f, 1.361292f,
    0.763604f,  0.145624f,  1.879848f,  -0.288605f, -0.306082f, 1.699622f,  0.400922f,
    0.050634f,  -1.285208f, 0.005417f,  -1.852459f, 0.562688f,  0.674004f,  0.508263f,
    0.659745f,  -2.024779f, -0.180197f, -1.415918f, 0.896340f,  -0.151468f, 0.832602f,
    -0.670337f, -1.452784f, 0.299748f,  1.000000f,  0.930656f,  1.448839f,  0.186396f,
    0.223950f,  1.740740f,  1.228870f,  0.348643f,  -0.536652f, -0.285423f, 0.495632f,
    2.175118f,  0.551688f,  0.435643f,  -1.187686f, -0.192352f, -0.142203f, -0.716259f,
    0.755999f,  2.023212f,  -0.320804f, 0.405218f,  -1.811604f, -0.482702f, 0.140709f,
    0.063245f,  -0.394515f, -1.253686f, 0.903393f,  1.281654f,  -1.087270f, 0.256696f,
    -2.164805f, -0.844885f, 0.390372f,  0.096018f,  1.000000f,  1.541836f,  -0.211928f,
    0.760150f,  1.513080f,  -0.421842f, -1.067819f, -0.207975f, -1.161527f, -0.399556f,
    -0.489822f, -1.334294f, 0.473471f,  -0.657829f, 0.376015f,  -2.005439f, -2.079483f,
    0.146665f,  -1.173042f, 0.747902f,  0.959516f,  0.368728f,  0.900494f,  0.736136f,
    -0.556269f, -1.476522f, 0.843876f,  0.286656f,  0.775796f,  1.136468f,  -0.708451f,
    0.560297f,  -0.595545f, 1.438773f,  0.225740f,  1.685416f,  1.000000f,  1.224949f,
    0.976008f,  -0.739531f, -1.169497f, 1.543462f,  -0.053003f, -0.931825f, -0.615543f,
    0.069140f,  -1.743576f, 0.673354f,  -1.052817f, -0.406520f, -0.917699f, 1.177243f,
    0.851768f,  0.116881f,  -1.238383f, -0.734669f, -1.123882f, 0.443537f,  -0.651800f,
    1.990124f,  -0.584999f, -0.815349f, 1.591881f,  0.106502f,  0.137075f,  -1.508123f,
    -0.204442f, 0.910490f,  0.072147f,  1.813409f,  -1.093314f, -0.369826f, 1.000000f,
    0.094295f,  0.522914f,  1.648535f,  0.200684f,  0.063657f,  -0.812320f, 1.112892f,
    1.748508f,  0.309130f,  0.160299f,  -0.048007f, -1.016135f, -0.839296f, 1.396646f,
    1.785740f,  0.415188f,  0.279983f,  -0.062910f, -0.092074f, 0.208641f,  -1.609697f,
    -0.548122f, 1.617370f,  1.784886f,  0.516371f,  0.415729f,  -0.046055f, -0.193139f,
    -0.008880f, 1.144382f,  -0.155251f, -1.682770f, -0.266048f, 1.787214f,  1.758034f,
    1.000000f,  1.597021f,  0.645562f,  0.181026f,  0.373231f,  1.330986f,  -0.652092f,
    0.150871f,  -1.625173f, -1.576405f, 0.368048f,  -0.456252f, -1.136700f, -0.051717f,
    -1.602605f, -0.555173f, -0.717698f, -1.762653f, -0.008915f, -1.652599f, -0.184531f,
    -0.187326f, 0.038818f,  -0.620766f, 1.480136f,  1.352685f,  -0.887188f, -0.327102f,
    -0.355979f, -0.798839f, 1.003077f,  -0.090550f, 1.550053f,  -0.115198f, 1.829682f,
    0.856294f,
};
const FLOAT32 ia_hoa_coded_vec_q_mat_elems_6[2401] = {
    1.000000f,  0.000000f,  1.732051f,  -0.000000f, 0.000000f,  0.000000f,  2.236068f,
    -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,  2.645751f,  -0.000000f,
    0.000000f,  -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,  3.000000f,
    -0.000000f, 0.000000f,  -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,
    0.000000f,  0.000000f,  3.316625f,  -0.000000f, 0.000000f,  -0.000000f, 0.000000f,
    -0.000000f, 0.000000f,  0.000000f,  0.000000f,  0.000000f,  0.000000f,  0.000000f,
    3.605551f,  -0.000000f, 0.000000f,  -0.000000f, 0.000000f,  -0.000000f, 0.000000f,
    1.000000f,  0.000000f,  1.142276f,  1.302000f,  0.000000f,  0.000000f,  0.340771f,
    1.920024f,  1.094250f,  0.000000f,  0.000000f,  0.000000f,  -0.720051f, 1.430628f,
    1.909309f,  0.888465f,  0.000000f,  0.000000f,  0.000000f,  0.000000f,  -1.285183f,
    0.052347f,  1.937487f,  1.757811f,  0.708381f,  0.000000f,  0.000000f,  0.000000f,
    0.000000f,  -0.000000f, -0.964538f, -1.347681f, 0.965051f,  2.146959f,  1.549437f,
    0.558488f,  0.000000f,  0.000000f,  0.000000f,  0.000000f,  -0.000000f, -0.000000f,
    0.019378f,  -1.848616f, -0.540950f, 1.632220f,  2.161243f,  1.327994f,  0.436964f,
    1.000000f,  0.192878f,  -0.525678f, -1.639042f, -0.408129f, -0.130896f, -0.809079f,
    1.112332f,  1.710089f,  0.622848f,  0.327722f,  -0.097325f, 1.019567f,  0.827056f,
    -1.373179f, -1.698830f, -0.825810f, -0.567105f, 0.125550f,  0.188787f,  0.200095f,
    -1.604280f, -0.526062f, 1.546788f,  1.631557f,  1.010163f,  0.831259f,  -0.088304f,
    -0.393286f, -0.019918f, -1.143326f, 0.169260f,  1.647894f,  0.240851f,  -1.642321f,
    -1.522854f, -1.171459f, -1.105409f, -0.008814f, 0.586354f,  0.130089f,  -0.175667f,
    0.491182f,  1.492787f,  -0.545081f, -1.599291f, 0.017414f,  1.666438f,  1.382839f,
    1.000000f,  1.508230f,  0.118434f,  -0.843336f, -1.642073f, 0.230606f,  -1.102351f,
    -0.128945f, -1.009262f, -0.085672f, -0.297070f, -1.377838f, -0.269253f, 0.770426f,
    -0.182587f, 2.075230f,  1.960923f,  -0.017574f, 1.375534f,  -0.419028f, 1.072687f,
    0.234302f,  0.845440f,  0.425702f,  -0.992596f, -1.907892f, 0.444708f,  0.068046f,
    0.485725f,  1.307287f,  0.415983f,  -0.730977f, 0.298540f,  -1.648283f, -0.225106f,
    -1.283985f, -0.196833f, -0.470374f, -1.499636f, 0.026967f,  -1.269023f, 0.597713f,
    -1.017650f, -0.334215f, -0.779976f, -0.653232f, 0.759098f,  -0.316555f, 2.379887f,
    1.000000f,  -1.219390f, -0.823809f, -0.913469f, 1.438006f,  1.296862f,  -0.359266f,
    0.971504f,  -0.421179f, -0.498883f, -1.809572f, -0.149541f, 1.175900f,  -0.112024f,
    0.530007f,  1.333417f,  -0.716624f, 0.711846f,  0.726717f,  -1.124896f, -0.748300f,
    -0.842681f, -0.212849f, -1.902626f, -1.118417f, 1.222203f,  1.130457f,  -0.428538f,
    0.964283f,  1.234852f,  -0.471000f, 0.925051f,  -0.282430f, 1.145398f,  1.764276f,
    0.089494f,  -0.736477f, -2.095951f, -0.859955f, -0.189515f, -1.677075f, -0.067649f,
    1.195936f,  -0.050677f, 0.491200f,  0.506538f,  -1.342111f, -0.153473f, 0.846458f,
    1.000000f,  -1.547731f, -0.032523f, -0.776834f, 1.552201f,  0.064985f,  -1.116851f,
    0.032617f,  -1.156732f, 0.364504f,  -0.077113f, 1.445217f,  0.074476f,  0.725380f,
    0.057466f,  2.058521f,  -2.124440f, -0.020533f, -1.340928f, -0.119286f, 1.121035f,
    -0.059872f, 0.999286f,  -0.115960f, -0.633789f, 1.593314f,  0.132303f,  -0.301272f,
    0.127742f,  -1.427706f, -0.116577f, -0.716591f, -0.095196f, -1.701419f, 0.039470f,
    -1.692889f, 0.830717f,  -0.107870f, 1.706136f,  0.032016f,  1.300470f,  0.172905f,
    -1.118401f, 0.086784f,  -0.969137f, 0.180808f,  0.508995f,  0.114612f,  2.272167f,
    1.000000f,  1.568162f,  0.715807f,  -0.168781f, -0.341696f, 1.449143f,  -0.545176f,
    -0.155971f, -1.568975f, -1.498369f, -0.373615f, -0.214214f, -1.173251f, 0.023056f,
    -1.715538f, 0.499292f,  0.634337f,  -1.857699f, -0.057867f, -1.601294f, -0.413563f,
    0.172347f,  -0.265711f, 0.619030f,  1.387277f,  1.252485f,  0.869465f,  -0.667332f,
    0.302115f,  -1.131766f, 0.836484f,  0.121812f,  1.387230f,  0.222371f,  1.901494f,
    -0.744130f, -0.828263f, 1.866292f,  0.449397f,  1.084023f,  0.320277f,  0.648228f,
    1.103186f,  -0.069769f, 1.470627f,  -0.361222f, 0.982818f,  -1.108807f, -1.104804f,
    1.000000f,  1.375463f,  -0.444843f, 0.954052f,  1.694125f,  -0.789915f, -0.896791f,
    -0.547903f, -0.633674f, 0.464395f,  -1.151174f, -0.862286f, 0.907210f,  -0.598101f,
    0.430587f,  -1.830147f, -1.270209f, -0.357812f, -0.789721f, 1.227816f,  0.440035f,
    0.851641f,  0.295389f,  1.410113f,  -1.460394f, -1.950148f, 1.081977f,  -0.156464f,
    1.531241f,  0.214092f,  -1.134694f, 0.148499f,  -0.572749f, 0.616616f,  1.243979f,
    0.214257f,  -0.940953f, 1.805868f,  0.281026f,  0.423523f,  -0.062468f, -1.333098f,
    0.140107f,  -0.924667f, 0.023366f,  -1.669073f, 0.323103f,  -0.198405f, 1.734733f,
    1.000000f,  -0.180440f, 0.308929f,  -1.694699f, 0.394777f,  -0.071964f, -1.011332f,
    -0.675889f, 1.832854f,  -0.623453f, 0.186294f,  0.141939f,  -0.670315f, 1.333093f,
    0.864919f,  -1.892593f, 0.856137f,  -0.333598f, -0.265753f, 0.122393f,  0.780393f,
    1.149519f,  -1.233827f, -1.012691f, 1.895219f,  -1.085636f, 0.506451f,  0.368934f,
    -0.279450f, -0.096329f, 0.949215f,  -0.904721f, -1.297419f, 1.119959f,  1.121125f,
    -1.851313f, 1.306338f,  -0.698159f, -0.448700f, 0.460077f,  0.153375f,  -0.156538f,
    -0.444170f, -1.470205f, 0.712083f,  1.396639f,  -0.993280f, -1.190556f, 1.767637f,
    1.000000f,  -0.714167f, -0.427874f, -1.518844f, 1.400353f,  0.394494f,  -0.913348f,
    0.838985f,  1.159864f,  -1.842926f, -0.915256f, 0.464204f,  0.880670f,  0.987239f,
    -0.758074f, -0.474919f, 1.921802f,  1.365793f,  -0.694684f, -0.621535f, 0.487342f,
    -1.321841f, -0.575383f, 0.351963f,  -0.364257f, -1.609970f, -1.574566f, 0.688810f,
    1.239910f,  -0.148199f, -1.122755f, -0.315181f, 1.026974f,  0.177505f,  0.298442f,
    1.166092f,  0.968997f,  1.433987f,  -0.509320f, -1.655210f, 0.028853f,  0.692570f,
    0.064693f,  1.472912f,  0.023898f,  -0.426545f, 0.096536f,  -1.038629f, -1.755243f,
    1.000000f,  0.452976f,  1.522822f,  0.689801f,  0.403389f,  0.890532f,  1.474671f,
    1.356118f,  0.174696f,  0.222873f,  0.938343f,  1.213951f,  1.006032f,  1.848626f,
    0.406369f,  -0.038801f, 0.083382f,  0.587850f,  1.540951f,  1.314790f,  0.271276f,
    2.002186f,  0.667341f,  -0.102342f, -0.078213f, 0.013375f,  0.243140f,  1.100824f,
    2.052430f,  1.144714f,  -0.534280f, 1.743191f,  0.888847f,  -0.191649f, -0.228068f,
    -0.055540f, -0.009574f, 0.042399f,  0.504383f,  1.683501f,  2.314322f,  0.725806f,
    -1.207907f, 1.105271f,  1.002265f,  -0.293090f, -0.473116f, -0.176062f, -0.026663f,
    1.000000f,  -0.410810f, -1.219557f, -1.159274f, 0.614825f,  0.646796f,  0.544840f,
    1.825208f,  0.758556f,  -0.638808f, -1.145359f, -0.568295f, 0.485411f,  -1.603684f,
    -1.413118f, -0.390877f, 0.551827f,  1.349377f,  1.315381f,  0.186321f,  -1.226441f,
    0.525784f,  1.622886f,  0.825664f,  0.116782f,  -0.416419f, -1.288668f, -1.833703f,
    -0.925598f, 0.296748f,  1.231649f,  0.837399f,  -1.141981f, -1.122015f, -0.272719f,
    0.055293f,  0.276443f,  1.057168f,  1.981353f,  1.722946f,  0.097039f,  -0.607773f,
    -0.500073f, -1.715088f, 0.119725f,  1.054245f,  0.419311f,  -0.140373f, -0.141319f,
    1.000000f,  0.812258f,  0.765601f,  1.324421f,  1.388816f,  0.802825f,  -0.462704f,
    1.309040f,  0.706386f,  1.504861f,  1.624185f,  -0.017546f, -1.182977f, -0.028609f,
    0.826101f,  -0.120060f, 1.160783f,  1.995535f,  0.442216f,  -0.802498f, -0.572009f,
    -1.308508f, 0.224922f,  -0.159206f, -0.845897f, 0.514869f,  1.701723f,  0.946346f,
    -1.114681f, -0.703052f, 0.683209f,  -1.146356f, -0.566954f, -0.075501f, -1.240097f,
    -1.249317f, -0.200026f, 0.820560f,  1.075479f,  -0.883567f, -1.472108f, 0.170518f,
    1.174774f,  0.278037f,  -0.748750f, 0.070492f,  -0.783734f, -1.991069f, -1.245615f,
    1.000000f,  -1.373261f, 0.866554f,  -0.602692f, 1.068496f,  -1.536290f, -0.278484f,
    -0.674242f, -0.982839f, 0.440094f,  1.414351f,  -0.323103f, -1.157212f, -0.141802f,
    -1.300968f, 1.284432f,  -1.242566f, 0.660544f,  0.695987f,  1.173966f,  -0.868618f,
    0.515226f,  -0.640192f, 1.927825f,  -0.103952f, 0.539914f,  -2.061821f, 0.457136f,
    -0.584210f, 1.513102f,  0.295722f,  0.664065f,  0.537376f,  1.334171f,  -0.172491f,
    -0.995320f, 0.625823f,  0.973938f,  -1.756496f, -0.084785f, -1.295490f, 0.361799f,
    1.164831f,  0.158785f,  1.191636f,  -0.247447f, -0.146947f, -1.795434f, 0.806029f,
    1.000000f,  -0.848728f, -0.010817f, 1.509816f,  -1.654310f, 0.011852f,  -1.117903f,
    -0.021084f, 1.006462f,  -2.090287f, 0.027335f,  0.793758f,  0.024784f,  -1.412028f,
    -0.016630f, 0.072034f,  -1.970055f, 0.039163f,  1.432283f,  -0.021772f, 1.124561f,
    0.038731f,  -0.871383f, -0.001350f, -1.019800f, -1.276994f, 0.040806f,  1.732566f,
    -0.045325f, -0.786362f, -0.038831f, 1.398872f,  0.027575f,  -0.059707f, 0.021123f,
    -1.944811f, -0.166702f, 0.028755f,  1.587627f,  -0.061135f, -1.393887f, 0.031595f,
    -1.125812f, -0.056205f, 0.848023f,  0.002107f,  0.821836f,  0.043793f,  -2.415796f,
    1.000000f,  -1.109942f, -1.228546f, 0.508629f,  -0.728830f, 1.760419f,  0.569442f,
    -0.806709f, -0.628242f, 0.203676f,  1.367747f,  -1.573519f, 0.454576f,  0.721062f,
    1.178981f,  -0.703744f, 0.541772f,  -0.433403f, -1.591695f, 0.562471f,  -1.212795f,
    -0.257751f, -1.372022f, 1.497499f,  -0.080757f, 0.221138f,  -1.274512f, 0.595802f,
    1.155225f,  0.749112f,  1.255977f,  -0.343279f, 0.995790f,  -2.058621f, 0.189980f,
    0.339255f,  -0.158690f, -0.565543f, 1.980493f,  -0.571587f, -0.182479f, -1.633804f,
    -0.560869f, 0.748688f,  -0.157294f, 1.974953f,  -0.295214f, -0.867617f, 0.251190f,
    1.000000f,  -1.026334f, 0.391802f,  -1.339078f, 1.774267f,  -0.519134f, -0.946406f,
    -0.677324f, 0.477518f,  -1.787249f, 1.061876f,  0.714422f,  -0.821169f, 0.932120f,
    0.285788f,  0.736831f,  1.002473f,  -1.212864f, -0.986185f, 0.839841f,  0.583708f,
    1.095757f,  -0.265417f, 0.500028f,  -1.727496f, 0.260741f,  0.752098f,  0.799452f,
    -1.490605f, -0.322168f, 1.086267f,  -0.420338f, -0.401174f, -0.329591f, -1.296042f,
    2.023756f,  -1.457966f, 0.212660f,  -0.353301f, 1.538306f,  0.247370f,  -0.983139f,
    -0.094876f, -1.282720f, 0.066576f,  -0.634199f, 0.608821f,  1.650576f,  -1.467676f,
    1.000000f,  -1.580707f, -0.703271f, -0.082313f, 0.167976f,  1.435154f,  -0.565065f,
    0.074734f,  -1.608488f, 1.576934f,  -0.180450f, 0.259767f,  1.168629f,  0.013527f,
    1.727941f,  0.248147f,  -0.319689f, -1.920866f, 0.022409f,  -1.622316f, -0.372976f,
    -0.084480f, -0.214581f, -0.302268f, 1.513935f,  -1.433152f, 0.430514f,  0.632542f,
    0.151240f,  1.080419f,  -0.870599f, 0.056261f,  -1.448235f, 0.099537f,  -2.038758f,
    -0.381455f, 0.433229f,  2.098100f,  -0.209672f, 1.186087f,  -0.151632f, 0.727849f,
    1.078078f,  0.037902f,  1.451985f,  0.186643f,  0.992933f,  0.558441f,  -1.342464f,
    1.000000f,  -0.820923f, -0.849607f, 1.266591f,  -1.342342f, 0.900419f,  -0.311000f,
    -1.389246f, 0.600531f,  -1.367693f, 1.742086f,  -0.155926f, 1.166035f,  0.240576f,
    -0.779368f, -0.212857f, -0.953812f, 2.012647f,  -0.795472f, -0.725480f, -0.822019f,
    1.119333f,  0.355875f,  0.313233f,  -0.852651f, -0.307688f, 1.551732f,  -1.321711f,
    -0.803604f, 0.877289f,  -0.366969f, -1.353558f, 0.359513f,  -0.205701f, 1.387156f,
    -1.128082f, 0.322308f,  0.544176f,  -1.266307f, -0.370031f, 1.607764f,  -0.147813f,
    1.182046f,  0.228058f,  -0.719275f, -0.057588f, -1.132003f, 1.995124f,  -1.010400f,
    1.000000f,  1.099187f,  0.937788f,  -0.955166f, -1.355422f, 1.330763f,  -0.134782f,
    -1.156400f, -0.190983f, 0.676445f,  -1.941636f, 0.478877f,  -1.098907f, -0.416132f,
    -0.273583f, 1.042851f,  0.306291f,  1.098748f,  -1.234920f, -0.772511f, -1.045012f,
    0.671293f,  -0.174004f, 1.693901f,  -1.065305f, -0.886210f, 0.550015f,  0.918911f,
    0.388161f,  -1.324077f, -0.023893f, 1.150590f,  0.054693f,  1.416652f,  -1.912998f,
    0.412288f,  0.780998f,  -1.730026f, 0.549352f,  0.128450f,  1.646602f,  -0.680254f,
    1.020841f,  0.591123f,  0.232011f,  0.198027f,  -1.910690f, 0.804854f,  0.348721f,
    1.000000f,  -0.097777f, -1.321145f, 1.115803f,  -0.140848f, 0.166768f,  0.833409f,
    -1.903103f, 0.797483f,  -0.146632f, 0.284242f,  -0.174605f, 0.091783f,  1.992537f,
    -1.609386f, 0.546321f,  -0.132903f, 0.335536f,  -0.374795f, 0.109544f,  -0.977521f,
    -1.250081f, 2.122101f,  -1.250140f, 0.364514f,  -0.111378f, 0.336219f,  -0.515049f,
    0.351365f,  0.003336f,  1.391714f,  -0.038067f, -1.989435f, 1.918968f,  -0.922148f,
    0.238416f,  -0.088689f, 0.306310f,  -0.578598f, 0.593683f,  -0.201649f, -0.114164f,
    -1.136684f, 1.302804f,  1.141741f,  -2.211945f, 1.586922f,  -0.655687f, 0.153317f,
    1.000000f,  0.730726f,  -1.013136f, 1.199831f,  1.131877f,  -0.955755f, 0.029566f,
    -1.569323f, 0.584584f,  1.113288f,  -1.751682f, 0.485814f,  0.997623f,  0.797692f,
    -0.904697f, -0.078381f, 0.782907f,  -1.953601f, 1.367463f,  0.354071f,  -1.187684f,
    0.581375f,  0.706258f,  0.137543f,  -0.555760f, 0.322897f,  -1.518846f, 1.919410f,
    -0.076817f, -0.902096f, 0.382000f,  -1.481216f, -0.039674f, -0.135136f, 1.078179f,
    -0.750197f, -0.096608f, -0.680995f, 1.744403f,  -0.776371f, -1.236390f, 0.714200f,
    0.744179f,  1.172696f,  -0.638563f, 0.054660f,  -1.238294f, 1.582173f,  -0.682687f,
    1.000000f,  1.488517f,  -0.748211f, -0.473810f, -0.910505f, -1.437812f, -0.492137f,
    0.457670f,  -1.285307f, -0.924062f, 1.040626f,  -0.093245f, 1.181180f,  0.029680f,
    1.468991f,  1.224952f,  1.384692f,  1.197528f,  -0.241481f, 1.491312f,  -0.517284f,
    -0.474699f, -0.340884f, -1.587464f, 0.486890f,  0.041578f,  -1.983869f, -0.520595f,
    -0.759612f, -1.216001f, -0.739878f, 0.387065f,  -1.072301f, 0.690110f,  -0.697574f,
    -1.387774f, -1.253185f, -0.064758f, 1.175175f,  -0.590388f, 0.928771f,  -0.422421f,
    1.155082f,  0.134460f,  1.311091f,  0.782629f,  0.413219f,  2.161492f,  0.357942f,
    1.000000f,  0.469136f,  -1.229961f, -1.125658f, -0.681757f, -0.744929f, 0.573334f,
    1.787402f,  0.675846f,  0.676298f,  1.280884f,  0.667621f,  0.449650f,  -1.601907f,
    -1.269778f, -0.274971f, -0.545182f, -1.440756f, -1.493690f, -0.241717f, -1.210507f,
    0.579982f,  1.480739f,  0.585786f,  -0.004747f, 0.370258f,  1.284012f,  1.984191f,
    1.089253f,  -0.313015f, 1.259657f,  0.751056f,  -1.079808f, -0.806737f, 0.011181f,
    0.158109f,  -0.205883f, -0.947998f, -1.998569f, -1.909688f, -0.180860f, 0.689856f,
    -0.570415f, -1.655260f, 0.179292f,  0.776445f,  -0.017404f, -0.404819f, -0.211333f,
    1.000000f,  -0.596195f, 1.500490f,  0.626961f,  -0.482562f, -1.154904f, 1.399186f,
    1.214502f,  0.024291f,  -0.197703f, -1.106051f, -1.535013f, 0.862323f,  1.614227f,
    0.055677f,  -0.169916f, -0.013870f, -0.513816f, -1.777558f, -1.593697f, 0.074452f,
    1.675940f,  0.089479f,  -0.441598f, -0.137417f, 0.044344f,  -0.039851f, -0.943303f,
    -2.295420f, -1.282834f, -0.736433f, 1.349035f,  0.115548f,  -0.810721f, -0.394828f,
    -0.057177f, 0.037191f,  0.138508f,  -0.081131f, -1.405284f, -2.473013f, -0.660258f,
    -1.346084f, 0.694330f,  0.124488f,  -1.207769f, -0.803817f, -0.178592f, -0.005654f,
    1.000000f,  -1.430843f, 0.423802f,  0.879250f,  -1.624159f, -0.782851f, -0.917226f,
    0.481060f,  -0.822512f, -0.156623f, -1.051429f, 0.937776f,  -0.874158f, -0.576261f,
    -0.532468f, -1.900207f, 1.580648f,  -0.114968f, 0.817093f,  1.237282f,  0.498514f,
    -0.760307f, 0.413795f,  -1.394841f, -1.160360f, 1.846914f,  1.282726f,  0.059891f,
    1.430434f,  -0.314495f, 1.119385f,  0.193257f,  0.724405f,  0.726614f,  -0.941654f,
    0.751712f,  0.329497f,  1.629374f,  -0.435113f, 0.140092f,  -0.055646f, -1.386919f,
    0.046599f,  0.852259f,  -0.028181f, 1.699645f,  0.319418f,  0.663171f,  1.985209f,
    1.000000f,  1.194772f,  1.142275f,  0.517424f,  0.798098f,  1.761895f,  0.340767f,
    0.763030f,  -0.748617f, -0.300250f, 1.392565f,  1.312800f,  -0.720055f, 0.568539f,
    -1.306227f, -0.836197f, -0.706935f, -0.594038f, 1.413114f,  0.048028f,  -1.285183f,
    0.020799f,  -1.325502f, -1.654397f, -0.045278f, -0.254251f, -1.546273f, -0.725546f,
    0.703858f,  -1.236695f, -0.964532f, -0.535580f, -0.660219f, -2.020646f, -0.099036f,
    0.497261f,  0.277962f,  -0.604568f, -2.156825f, -0.551591f, -0.394553f, -1.696366f,
    0.019386f,  -0.734652f, 0.370091f,  -1.536184f, -0.138140f, 1.182404f,  0.337159f,
    1.000000f,  1.722761f,  -0.141555f, 0.109799f,  0.244202f,  -0.314830f, -1.095631f,
    -0.020065f, -1.907993f, -2.033094f, -0.052804f, -1.557677f, 0.320733f,  -0.099278f,
    0.412564f,  -0.392998f, -0.551303f, 0.498476f,  -0.201597f, 0.569365f,  1.050443f,
    0.036288f,  1.575113f,  0.096356f,  2.118432f,  2.173259f,  0.149435f,  1.584415f,
    0.085810f,  1.449199f,  -0.492487f, 0.092364f,  -0.670451f, 0.306268f,  -0.574217f,
    0.715958f,  0.884590f,  -0.640396f, 0.411818f,  -0.759186f, 0.181452f,  -0.806049f,
    -0.971844f, -0.051373f, -1.417715f, -0.146751f, -1.582448f, -0.210972f, -2.202628f,
    1.000000f,  1.474755f,  0.388187f,  0.821224f,  1.563528f,  0.739070f,  -0.949558f,
    0.411555f,  -0.968564f, -0.090041f, 0.927119f,  -1.033045f, -0.814987f, -0.575256f,
    -0.574325f, -1.933956f, -1.791835f, -0.060540f, -0.877957f, -1.198625f, 0.593029f,
    -0.667460f, 0.543871f,  -1.300315f, -0.891260f, -1.686939f, -1.331911f, 0.040908f,
    -1.305775f, 0.478177f,  1.081800f,  0.266275f,  0.808893f,  0.878636f,  -0.662494f,
    1.156922f,  0.192789f,  -1.363176f, 0.646428f,  0.077110f,  0.236142f,  1.409526f,
    -0.110724f, 0.784901f,  -0.146283f, 1.656218f,  0.321534f,  0.934882f,  2.065929f,
    1.000000f,  -0.583878f, 1.127811f,  -1.177763f, 0.887779f,  -0.850126f, 0.304060f,
    -1.714822f, 0.675328f,  -0.897937f, 1.529430f,  -0.611671f, -0.758073f, -1.233825f,
    1.163428f,  -0.172753f, 0.709387f,  -1.754055f, 1.513002f,  0.016709f,  -1.285438f,
    0.033704f,  1.150931f,  -0.337461f, -0.196463f, -0.436454f, 1.531989f,  -2.096506f,
    0.689762f,  0.628282f,  -0.905379f, 1.267332f,  0.524698f,  -0.403345f, -0.424281f,
    0.390920f,  0.171738f,  -1.024674f, 2.095452f,  -1.518827f, -0.523631f, 0.810293f,
    0.112460f,  1.634473f,  -0.398323f, -0.292206f, -0.580331f, 0.917773f,  -0.429810f,
    1.000000f,  -1.483420f, -0.426998f, 0.785582f,  -1.504458f, 0.817737f,  -0.914186f,
    -0.433053f, -1.022076f, 0.208468f,  0.981282f,  0.965946f,  0.879272f,  -0.511541f,
    0.666649f,  -1.892447f, 1.819397f,  -0.154179f, 0.748607f,  -1.289241f, 0.489753f,
    0.682750f,  0.508577f,  1.399620f,  -0.721024f, 1.513139f,  -1.487608f, -0.078305f,
    -1.330577f, -0.311761f, -1.122046f, 0.165101f,  -0.903948f, 0.710847f,  0.589537f,
    1.291295f,  -0.436775f, -1.344979f, -0.486211f, 0.187071f,  -0.035429f, 1.438441f,
    0.060797f,  -0.761763f, -0.024069f, -1.698206f, 0.192685f,  -1.147789f, 1.958439f,
    1.000000f,  0.328864f,  0.940436f,  -1.416838f, -0.601535f, 0.399273f,  -0.129223f,
    -1.720178f, 1.225978f,  0.782916f,  -0.864129f, 0.145824f,  -1.096056f, -0.628249f,
    1.761166f,  -0.959853f, -0.872585f, 1.275278f,  -0.554100f, -0.228942f, -1.050867f,
    0.986347f,  1.129302f,  -1.563487f, 0.675130f,  0.883067f,  -1.571349f, 1.073228f,
    0.165627f,  -0.396984f, -0.036256f, 1.710317f,  -0.337561f, -1.315775f, 1.215772f,
    -0.405455f, -0.831983f, 1.728757f,  -1.577861f, 0.161187f,  0.729582f,  -0.207838f,
    1.013253f,  0.895425f,  -1.486948f, -0.197615f, 1.220811f,  -0.793749f, 0.170696f,
    1.000000f,  0.167514f,  1.518624f,  -0.815916f, -0.176450f, 0.328417f,  1.460397f,
    -1.599633f, 0.411607f,  0.132778f,  -0.409317f, 0.445593f,  0.978580f,  -2.170367f,
    0.954820f,  -0.190998f, -0.085934f, 0.349250f,  -0.669488f, 0.478887f,  0.233039f,
    -2.332534f, 1.561724f,  -0.502390f, 0.081811f,  0.050755f,  -0.249893f, 0.651606f,
    -0.886630f, 0.411179f,  -0.574773f, -2.002745f, 2.068254f,  -0.937324f, 0.237901f,
    -0.031703f, -0.028077f, 0.160451f,  -0.516581f, 0.991683f,  -0.991511f, 0.252109f,
    -1.237790f, -1.227954f, 2.312911f,  -1.426518f, 0.491793f,  -0.100221f, 0.010435f,
    1.000000f,  -1.715371f, 0.233771f,  0.053427f,  -0.118317f, -0.517695f, -1.056934f,
    0.016124f,  -1.897531f, 2.025887f,  -0.042250f, 1.458434f,  -0.519376f, -0.045425f,
    -0.677593f, -0.189788f, 0.265644f,  0.820291f,  0.089400f,  0.910642f,  0.924420f,
    -0.028363f, 1.433763f,  -0.076846f, 2.121875f,  -2.195415f, 0.118913f,  -1.404382f,
    0.066235f,  -1.195727f, 0.769141f,  0.037242f,  1.062254f,  0.131564f,  0.949833f,
    0.344574f,  -0.425676f, -1.068365f, -0.171254f, -1.195138f, -0.068142f, -1.232505f,
    -0.718949f, 0.038388f,  -1.092849f, 0.111962f,  -1.367917f, 0.167682f,  -2.251992f,
    1.000000f,  0.788113f,  -0.099544f, 1.539145f,  1.566003f,  -0.101281f, -1.106955f,
    -0.197797f, 1.128230f,  2.057587f,  -0.238120f, -0.725037f, 0.226828f,  -1.415961f,
    -0.171554f, 0.313253f,  2.090520f,  -0.354760f, -1.324841f, 0.184631f,  1.087984f,
    0.360576f,  -0.954485f, -0.054010f, -0.697779f, 1.615363f,  -0.398479f, -1.655344f,
    0.390965f,  0.696983f,  -0.351906f, 1.361173f,  0.281672f,  -0.252015f, 0.133005f,
    -1.647980f, 0.713590f,  -0.334732f, -1.624194f, 0.547161f,  1.242380f,  -0.264717f,
    -1.049353f, -0.516980f, 0.895075f,  0.083301f,  0.542127f,  0.341491f,  -2.289267f,
    1.000000f,  -0.900543f, -1.433980f, -0.364312f, 0.423548f,  1.667139f,  1.180978f,
    0.674437f,  -0.437811f, 0.149643f,  -0.927757f, -2.044597f, -0.467840f, -0.827137f,
    0.958999f,  0.337325f,  -0.219408f, -0.371674f, 1.393131f,  1.835628f,  -0.419754f,
    0.742599f,  -1.440044f, -0.837823f, 0.007268f,  0.044439f,  0.602465f,  0.641346f,
    -1.625128f, -1.060333f, 1.160728f,  -0.428955f, 1.679853f,  1.445714f,  -0.019957f,
    -0.121248f, 0.055885f,  -0.132652f, -1.156836f, -0.878105f, 1.487853f,  -0.052437f,
    -1.494867f, -0.021213f, -1.537956f, -1.979413f, 0.038321f,  0.361933f,  0.050592f,
    1.000000f,  1.310402f,  -1.070189f, 0.370864f,  0.627399f,  -1.810463f, 0.162456f,
    -0.512389f, -1.019637f, -0.688125f, -1.025635f, 1.114031f,  0.891880f,  0.315288f,
    1.666842f,  -0.748513f, -0.756925f, 1.275524f,  0.908676f,  0.363226f,  -1.256964f,
    0.102798f,  -1.476763f, 1.387461f,  0.382196f,  0.133286f,  1.551135f,  -1.389844f,
    -0.247139f, -1.559854f, 0.651080f,  -0.441463f, 0.401645f,  -1.511813f, -0.783218f,
    0.686441f,  0.570245f,  -0.296931f, -1.952476f, 0.796201f,  -0.561896f, 1.586639f,
    0.457129f,  0.449043f,  0.913182f,  0.866074f,  0.985868f,  -1.529237f, 0.048025f,
    1.000000f,  0.552647f,  -1.578768f, 0.449524f,  0.320720f,  -1.126394f, 1.668676f,
    -0.916212f, -0.066709f, 0.066916f,  -0.773450f, 1.630566f,  -1.391717f, 1.326307f,
    0.160877f,  -0.129232f, -0.025315f, -0.182982f, 1.337610f,  -1.942300f, 0.838135f,
    -1.579872f, -0.278223f, 0.353386f,  -0.058221f, -0.026374f, 0.076530f,  0.359398f,
    -1.914325f, 1.979779f,  -0.124577f, 1.610358f,  0.398179f,  -0.694090f, 0.176008f,
    -0.007376f, -0.009574f, 0.086677f,  -0.166118f, -0.584618f, 2.386331f,  -1.714582f,
    -0.613113f, -1.394646f, -0.496357f, 1.129047f,  -0.382046f, 0.024241f,  0.006766f,
    1.000000f,  1.062765f,  -0.605405f, -1.226382f, -1.682627f, -0.830630f, -0.708257f,
    0.958509f,  0.241767f,  1.447077f,  1.556045f,  -0.386855f, 1.104705f,  0.446413f,
    -0.223579f, 0.930263f,  -0.481336f, -1.517393f, 0.210999f,  1.090962f,  -0.053529f,
    -1.258921f, -0.030317f, -0.975466f, -1.640400f, -0.698211f, 0.557995f,  0.119440f,
    -1.634650f, -0.391088f, -1.070624f, 0.451298f,  0.234873f,  0.076782f,  1.901653f,
    1.527937f,  1.490363f,  0.879921f,  -0.133451f, 1.307792f,  1.002391f,  -0.809446f,
    0.799440f,  0.934064f,  -0.144027f, 0.840723f,  -0.454804f, -1.925584f, -0.680127f,
    1.000000f,  -0.027287f, 0.345195f,  1.697084f,  -0.059785f, -0.012160f, -0.984809f,
    0.756297f,  1.858613f,  -0.094899f, -0.031524f, 0.020456f,  -0.738581f, -1.272205f,
    0.980036f,  1.965986f,  -0.131475f, -0.056739f, 0.037380f,  0.020270f,  0.698858f,
    -1.260637f, -1.162072f, 1.175455f,  2.041561f,  -0.168842f, -0.086905f, 0.050557f,
    0.046048f,  -0.012068f, 1.017855f,  0.750518f,  -1.431547f, -1.047380f, 1.349469f,
    2.095809f,  -0.206555f, -0.121327f, 0.059686f,  0.075683f,  -0.016993f, -0.025034f,
    -0.295633f, 1.556962f,  0.528287f,  -1.567903f, -0.926809f, 1.506008f,  2.134581f,
    1.000000f,  0.907836f,  -1.423913f, -0.385105f, -0.451347f, -1.668841f, 1.148812f,
    0.707924f,  -0.436266f, -0.138592f, 0.981708f,  2.020435f,  -0.412407f, -0.857070f,
    0.948906f,  0.360294f,  0.232984f,  0.341808f,  -1.458326f, -1.768898f, -0.483210f,
    0.750368f,  -1.409599f, -0.888591f, -0.007919f, -0.058683f, -0.635250f, -0.584063f,
    1.672794f,  0.951190f,  1.204093f,  -0.403495f, 1.616901f,  1.518375f,  0.021592f,
    -0.126230f, -0.055283f, 0.173944f,  1.208598f,  0.788781f,  -1.487249f, 0.179847f,
    -1.488919f, -0.076291f, -1.437555f, -2.050574f, -0.041081f, 0.374158f,  0.061226f,
    1.000000f,  -1.313324f, 1.091345f,  0.290079f,  -0.491828f, -1.850368f, 0.213581f,
    0.408698f,  -1.059051f, 0.778395f,  -0.819905f, -1.210143f, -0.845985f, 0.267289f,
    -1.765498f, -0.594386f, 0.616303f,  1.471372f,  -0.757772f, 0.250331f,  -1.272641f,
    -0.055291f, -1.631707f, -1.123547f, 0.520434f,  -0.305624f, 1.287928f,  1.660706f,
    -0.259740f, 1.519641f,  -0.747314f, -0.335649f, -0.559296f, -1.268124f, 1.087586f,
    0.581534f,  -0.512228f, -0.694322f, 1.673052f,  1.046840f,  0.391809f,  1.686289f,
    0.336132f,  -0.372457f, 0.843681f,  -0.799372f, 1.412802f,  1.321139f,  -0.139831f,
    1.000000f,  0.810622f,  0.194331f,  -1.518264f, -1.588877f, 0.203370f,  -1.075812f,
    -0.380904f, 1.063791f,  2.042115f,  -0.471652f, -0.710541f, -0.435928f, 1.330817f,
    0.315782f,  -0.204004f, -1.999911f, 0.687359f,  1.254757f,  -0.362640f, 0.985462f,
    0.679210f,  -0.840089f, -0.068666f, -0.824039f, 1.434142f,  -0.744200f, -1.501399f,
    0.752609f,  0.621533f,  0.657195f,  -1.164106f, -0.503890f, 0.149988f,  -0.306639f,
    1.739253f,  -0.461227f, 0.580158f,  1.389112f,  -1.023607f, -1.043142f, 0.501864f,
    -0.840023f, -0.939972f, 0.698407f,  0.102257f,  0.572367f,  0.703586f,  -2.285435f,
    1.000000f,  -0.815290f, 0.873330f,  1.254032f,  -1.319913f, -0.919210f, -0.265304f,
    1.413876f,  0.586046f,  -1.330166f, -1.760808f, -0.206807f, -1.153155f, 0.318098f,
    0.781805f,  -0.212770f, -0.915253f, -2.012078f, -0.891194f, 0.686937f,  -0.886803f,
    -1.056607f, 0.395693f,  -0.321847f, -0.827495f, -0.286481f, -1.530576f, -1.420681f,
    0.692895f,  0.908423f,  0.266645f,  -1.397284f, -0.307648f, -0.227249f, -1.383818f,
    -1.080206f, 0.313337f,  -0.520818f, -1.325700f, 0.213001f,  1.606223f,  0.242190f,
    1.156129f,  -0.372523f, -0.713168f, 0.034071f,  -1.198586f, -1.963794f, -0.954377f,
    1.000000f,  0.892550f,  1.460856f,  -0.263164f, -0.303237f, 1.683310f,  1.267962f,
    -0.496315f, -0.469528f, -0.211576f, -0.676673f, 2.134709f,  0.621285f,  -0.629408f,
    -1.047749f, 0.245838f,  0.168464f,  -0.535345f, -1.045079f, 2.040562f,  -0.236067f,
    -0.601650f, -1.618184f, 0.622037f,  0.076024f,  0.014243f,  0.471250f,  -0.947722f,
    -1.272613f, 1.379930f,  -1.019271f, -0.406865f, -1.970493f, 1.101193f,  0.212663f,
    -0.103164f, -0.057585f, 0.043312f,  0.926979f,  -1.344266f, -1.251508f, 0.321722f,
    -1.476948f, -0.094858f, -1.937815f, 1.561952f,  0.418322f,  -0.313723f, 0.008675f,
    1.000000f,  -0.353646f, -1.657319f, 0.358089f,  -0.163487f, 0.756657f,  1.952877f,
    -0.766164f, 0.002041f,  -0.036958f, 0.413884f,  -1.183570f, -1.997233f, 1.198441f,
    -0.005168f, -0.035599f, -0.000395f, 0.106091f,  -0.765826f, 1.579572f,  1.827097f,
    -1.599419f, 0.009562f,  0.102189f,  -0.015810f, 0.003300f,  0.001253f,  -0.221867f,
    1.198850f,  -1.896752f, -1.476071f, 1.920584f,  -0.014969f, -0.213708f, 0.050174f,
    -0.003513f, 0.001457f,  -0.011385f, -0.002888f, 0.390414f,  -1.679338f, 2.096481f,
    0.985027f,  -2.122822f, 0.020969f,  0.376057f,  -0.115627f, 0.012119f,  -0.000054f,
    1.000000f,  -0.778079f, 1.503370f,  -0.366702f, 0.368351f,  -1.510129f, 1.408859f,
    -0.711711f, -0.303988f, 0.063266f,  0.845894f,  -2.013801f, 0.880535f,  -0.949088f,
    -0.698089f, 0.248246f,  -0.132490f, 0.164740f,  1.363289f,  -2.102555f, 0.098931f,
    -0.990917f, -1.125079f, 0.646411f,  -0.025601f, 0.041481f,  -0.381403f, 0.303224f,
    1.767645f,  -1.710766f, -0.712169f, -0.806270f, -1.458781f, 1.189800f,  -0.073698f,
    -0.056738f, 0.017388f,  0.129816f,  -0.778386f, 0.453283f,  1.916035f,  -0.908923f,
    -1.331068f, -0.428368f, -1.581243f, 1.778602f,  -0.150407f, -0.177562f, 0.031898f,
    1.000000f,  0.023569f,  -1.675728f, -0.437470f, -0.013311f, -0.050989f, 2.021477f,
    0.946403f,  0.123177f,  0.005442f,  0.034073f,  0.081136f,  -2.150300f, -1.505958f,
    -0.315297f, -0.033408f, -0.001940f, -0.015795f, -0.064005f, -0.110914f, 2.094046f,
    2.058653f,  0.592271f,  0.096965f,  0.008871f,  0.000640f,  0.006225f,  0.033500f,
    0.102164f,  0.137533f,  -1.875159f, -2.552731f, -0.945367f, -0.205655f, -0.028466f,
    -0.002322f, -0.000201f, -0.002234f, -0.014541f, -0.059975f, -0.146629f, -0.158574f,
    1.518469f,  2.943258f,  1.356825f,  0.368186f,  0.066489f,  0.008101f,  0.000601f,
    1.000000f,  -0.007313f, -0.555837f, 1.640424f,  -0.015487f, 0.005248f,  -0.772611f,
    -1.177140f, 1.736993f,  -0.023765f, 0.013149f,  0.003318f,  1.054983f,  -0.744335f,
    -1.474804f, 1.776845f,  -0.031830f, 0.022879f,  0.003743f,  -0.007324f, 0.105620f,
    1.642889f,  -0.419851f, -1.710638f, 1.784824f,  -0.039521f, 0.033878f,  0.001441f,
    -0.015069f, 0.001485f,  -1.125443f, -0.333138f, 1.690078f,  -0.107747f, -1.899674f,
    1.772772f,  -0.046749f, 0.045729f,  -0.003409f, -0.022232f, 0.006578f,  0.006326f,
    0.614043f,  -1.418952f, -0.737763f, 1.662232f,  0.191147f,  -2.051218f, 1.747375f,
};

const FLOAT32 *ia_hoa_coded_vec_q_mat_elems[7] = {
    &ia_hoa_coded_vec_q_mat_elems_0[0], &ia_hoa_coded_vec_q_mat_elems_1[0],
    &ia_hoa_coded_vec_q_mat_elems_2[0], &ia_hoa_coded_vec_q_mat_elems_3[0],
    &ia_hoa_coded_vec_q_mat_elems_4[0], &ia_hoa_coded_vec_q_mat_elems_5[0],
    &ia_hoa_coded_vec_q_mat_elems_6[0]};

const UWORD32 ia_hoa_cicp_speakerd_azimuths[51] = {
    30,  330, 0,   110, 250, 22,  338, 135, 225, 180, 90,  270, 60,  300, 30,  330, 0,
    135, 225, 180, 90,  270, 0,   45,  315, 0,   110, 250, 45,  315, 45,  315, 150, 210,
    22,  338, 60,  300, 22,  338, 30,  330, 60,  300, 90,  270, 110, 250, 135, 225, 180};

const FLOAT32 ia_hoa_cos_cicp_speaker_inclinations[51] = {
    0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,
    0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,
    0.5735764f,  0.5735764f,  0.5735764f,  0.5735764f,  0.5735764f,  0.5735764f,  0.5735764f,
    0.5735764f,  1.0000000f,  -0.2588190f, -0.2588190f, -0.2588190f, 0.5735764f,  0.5735764f,
    0.5735764f,  0.5735764f,  0.0000000f,  0.0000000f,  0.0000000f,  0.0000000f,  0.5735764f,
    0.5735764f,  0.5735764f,  0.5735764f,  -0.2588190f, -0.2588190f, -0.2588190f, -0.2588190f,
    -0.2588190f, -0.2588190f, -0.2588190f, -0.2588190f, -0.2588190f, -0.2588190f, -0.2588190f,
    -0.2588190f, -0.2588190f};
const FLOAT32 ia_hoa_sin_cicp_speaker_inclinations[51] = {
    1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
    1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f,
    0.8191520f, 0.8191520f, 0.8191520f, 0.8191520f, 0.8191520f, 0.8191520f, 0.8191520f,
    0.8191520f, 0.0000000f, 0.9659258f, 0.9659258f, 0.9659258f, 0.8191520f, 0.8191520f,
    0.8191520f, 0.8191520f, 1.0000000f, 1.0000000f, 1.0000000f, 1.0000000f, 0.8191520f,
    0.8191520f, 0.8191520f, 0.8191520f, 0.9659258f, 0.9659258f, 0.9659258f, 0.9659258f,
    0.9659258f, 0.9659258f, 0.9659258f, 0.9659258f, 0.9659258f, 0.9659258f, 0.9659258f,
    0.9659258f, 0.9659258f};

const FLOAT32 ia_hoa_azimuths_1[4] = {0.0000000f, 0.0000000f, 2.0943951f, -2.0943950f};
const FLOAT32 ia_hoa_azimuths_2[9] = {0.0000000f, 0.0000000f,  -1.9566794f,
                                      1.9566815f, -1.9566791f, -3.1415917f,
                                      1.9566812f, 0.6871237f,  -0.6871208f};
const FLOAT32 ia_hoa_azimuths_3[16] = {0.0000000f,  0.0000000f,  1.1199072f,  -0.2528320f,
                                       1.1555864f,  2.0404806f,  -1.3811807f, 0.2706923f,
                                       -2.2041727f, 2.2972674f,  -2.8029312f, 3.0109557f,
                                       2.1549186f,  -0.6352883f, -1.4197304f, -2.4680925f};
const FLOAT32 ia_hoa_azimuths_4[25] = {
    0.0000000f,  0.0000000f, -2.0075880f, 1.9276369f,  -1.4120839f, -2.1000061f, 2.5129274f,
    1.6676331f,  1.4423830f, -0.6006207f, 0.3299675f,  -1.1862145f, 2.9833320f,  -2.6922159f,
    0.5076015f,  2.2089772f, 0.9523191f,  -1.7156454f, 0.9344017f,  -0.3865351f, 2.6759584f,
    -2.6284169f, 0.1650122f, -1.0250435f, -3.1312084f};
const FLOAT32 ia_hoa_azimuths_5[36] = {
    0.0000000f,  0.0000000f,  -1.1966599f, 0.1840659f,  0.1242815f,  -2.8402248f,
    -1.8470115f, 0.6987579f,  2.2802386f,  -2.2848211f, -2.3756882f, 2.8834109f,
    -1.1850355f, -2.7684633f, 0.7634876f,  -0.4649137f, -2.2750418f, 1.7621377f,
    2.8044856f,  -1.6917545f, -1.0320973f, 0.5094153f,  -1.9573732f, -0.5670030f,
    2.3196186f,  2.8532333f,  -3.0710127f, 2.1131316f,  -1.5087705f, -0.6540373f,
    1.4642266f,  1.3731271f,  1.1127512f,  2.1139494f,  0.0571372f,  1.4579253f};
const FLOAT32 ia_hoa_azimuths_6[49] = {
    0.0000000f,  0.0000000f,  3.0244540f,  2.0806419f,  -2.2137335f, -2.0359769f, 1.6780136f,
    0.9643634f,  -3.0355186f, -2.7020642f, 0.5810548f,  -2.8010314f, 0.5501363f,  -1.9843616f,
    -0.5121161f, -1.1411043f, -2.4876472f, -1.6228231f, -0.5750633f, 2.2862036f,  -0.0874063f,
    0.5470284f,  1.8789653f,  2.7467165f,  -0.7602501f, -1.0197847f, 1.1621070f,  1.5071478f,
    1.0627057f,  -2.6813494f, -1.0837693f, 2.9135198f,  2.9390986f,  -1.5396600f, 0.4732377f,
    -1.9552169f, 1.2949937f,  0.8879361f,  2.4275482f,  -0.0160776f, 1.9719898f,  -1.3534124f,
    2.6511833f,  -0.5764701f, 1.8575170f,  -0.7791552f, -2.0112146f, 3.0877677f,  -0.0044579f};
const FLOAT32 *ia_hoa_azimuths[MAXIMUM_HOA_ORDER] = {
    &ia_hoa_azimuths_1[0], &ia_hoa_azimuths_2[0], &ia_hoa_azimuths_3[0],
    &ia_hoa_azimuths_4[0], &ia_hoa_azimuths_5[0], &ia_hoa_azimuths_6[0],
};

const FLOAT32 ia_hoa_search_grid_azimuths_0[256] = {
    0.0000000f,  0.0000000f,  1.7165167f,  -2.8149490f, -2.2252080f, -0.3911681f, -1.7939651f,
    2.4839387f,  -0.8466035f, -0.1447699f, -0.9665295f, 0.4096286f,  -1.1153865f, 0.2011027f,
    -2.5723362f, -2.5792375f, -1.8636473f, -1.2819079f, -1.6020137f, 1.7272170f,  -1.8710554f,
    -2.9565666f, 1.2536695f,  -2.4006734f, 1.4016762f,  -0.8606500f, 1.3397441f,  -1.3125674f,
    -0.1050780f, -2.4760592f, 1.0904096f,  -1.3455876f, 3.0521426f,  -1.7885869f, 2.9894624f,
    0.6518649f,  -1.5123438f, -2.9423037f, -2.9945872f, 0.0723664f,  -1.2482058f, 0.0704679f,
    -2.1691201f, 0.4610256f,  -2.2301617f, 1.4819224f,  -0.8539544f, -0.3091065f, 1.1105978f,
    2.0674710f,  -2.5427523f, 1.0485168f,  1.1912946f,  1.1578593f,  2.6708059f,  2.8860514f,
    -2.6752336f, 2.1811993f,  1.3651686f,  0.9319453f,  -1.5742149f, 1.4942471f,  2.3825045f,
    -2.7551279f, -2.7877891f, 1.4850920f,  -0.4181711f, -2.8843389f, -2.7142427f, 0.5803510f,
    -1.2444299f, -0.5080759f, -0.2095670f, 0.8776128f,  -0.8530061f, -0.5543462f, -2.7943716f,
    -3.0588834f, 1.9008902f,  -1.6053590f, 2.5914636f,  -0.0678210f, 1.9610270f,  2.9417112f,
    -2.1551721f, -0.1459651f, -0.6427262f, 1.4128019f,  1.7825902f,  -1.5523508f, -0.8640463f,
    -2.8090520f, -1.4826410f, 1.6048402f,  0.2753638f,  -0.4308089f, -1.4605215f, 0.5455420f,
    -0.8225530f, -2.6465883f, 1.9485319f,  -2.9812310f, -1.0896595f, 2.3027503f,  -2.1504261f,
    -1.0462607f, -0.6416141f, 1.5886780f,  0.8559404f,  2.7189748f,  3.0524015f,  2.6352134f,
    0.1151458f,  1.7054476f,  -2.1795316f, -3.0931325f, -1.6958607f, 2.0249355f,  -1.3495979f,
    -0.6374701f, -0.8729683f, 1.1016808f,  -1.7345964f, 0.0353750f,  -0.8645712f, 0.9408798f,
    1.0458280f,  -1.1734296f, 0.1817508f,  2.7954674f,  1.1588060f,  2.5730901f,  -2.4112089f,
    1.6757807f,  -0.6364182f, 2.8177092f,  -2.4848917f, -0.3979307f, 2.9841268f,  -2.1486287f,
    -2.6762104f, 1.5718254f,  -2.0725043f, 2.4638193f,  1.8334762f,  1.9457453f,  -1.7405763f,
    1.7153283f,  -1.8895199f, 0.6976573f,  1.4602703f,  -2.5662227f, -2.7440820f, -1.4747548f,
    2.6416147f,  0.6270035f,  0.9388953f,  -1.3593754f, -0.2438351f, -0.6134058f, -1.8425750f,
    -0.1779190f, -2.1762054f, -2.9237027f, -1.6727438f, 1.2353213f,  0.7619007f,  -1.3864638f,
    0.2305015f,  -2.2297556f, 0.7799061f,  -0.1875025f, -1.9793968f, -1.0733072f, 0.6474346f,
    2.3066754f,  2.7304220f,  0.4025198f,  -2.2426164f, 0.9267537f,  1.5847256f,  -0.0027774f,
    2.8711681f,  2.2706616f,  2.4258704f,  2.2007537f,  -1.0738117f, 2.6262119f,  2.6354663f,
    -0.3980376f, 2.2946033f,  0.7010153f,  0.4486526f,  -1.6791673f, 0.3183017f,  -0.0648829f,
    -1.1630945f, -2.9913127f, -1.9910905f, 2.6338947f,  0.3121725f,  3.0015068f,  0.9159130f,
    0.5899024f,  2.3412340f,  2.4146261f,  -2.4983547f, -1.4913785f, -2.3222361f, 2.1199167f,
    0.1929923f,  -0.5857701f, 0.3537879f,  1.9552641f,  0.5153670f,  -0.2088170f, 2.5298326f,
    -0.0414936f, -0.2515417f, 2.9820197f,  1.2091916f,  1.3017631f,  -2.3995485f, -1.0948904f,
    1.8429251f,  -1.9720446f, 2.1147015f,  -0.6465544f, -1.1483676f, 2.9653137f,  3.1100376f,
    -2.0472929f, -1.9180571f, 2.3627400f,  0.4241535f,  -3.1345458f, 1.9402590f,  -2.1961377f,
    -2.3058536f, -0.9519227f, 2.2525437f,  1.8370287f,  2.0892961f,  2.9028742f,  1.3973526f,
    0.7700370f,  0.4755585f,  1.0870878f,  -0.6907395f, 0.9418368f,  0.1826263f,  -0.5069866f,
    -3.0456696f, 2.9914811f,  1.9332496f,  -0.4433766f};
const FLOAT32 ia_hoa_search_grid_azimuths_1[484] = {
    0.0000000f,  0.0000000f,  -0.3497917f, -0.1135232f, 2.1265721f,  -1.2825866f, -0.1764226f,
    2.0510173f,  -2.3248217f, 2.7369530f,  -0.3488236f, -0.2889535f, 2.9956789f,  1.1774833f,
    -0.5861459f, 2.8698702f,  1.5987784f,  3.0943203f,  -2.1702447f, 0.7984557f,  -0.6655045f,
    0.6809706f,  1.5144011f,  -0.7545049f, 3.0749204f,  2.5087502f,  0.6219371f,  -0.5866456f,
    -0.5601103f, 2.3109565f,  0.4936696f,  1.3615874f,  -0.5518835f, 3.0924535f,  -1.8435802f,
    -2.2074909f, 0.4918467f,  -3.0293977f, 1.1124403f,  -0.0689579f, 2.8521166f,  0.4949298f,
    2.5351398f,  1.3581214f,  -0.1212172f, -0.4971522f, 2.4847469f,  -2.7282751f, 1.2498455f,
    0.1047251f,  2.6463492f,  -2.5247476f, -0.3494873f, 1.8033907f,  0.1281270f,  1.4493197f,
    -0.9099993f, -1.6289800f, 1.3219738f,  0.7723700f,  2.4318936f,  0.0477932f,  -0.6378371f,
    1.5746642f,  -2.6051204f, 0.3472035f,  0.8399818f,  2.8749061f,  -0.3635609f, 0.8403041f,
    2.0387177f,  0.6482178f,  2.1378818f,  2.8997831f,  1.6019357f,  0.6601704f,  -0.8182469f,
    -1.4245014f, -1.7414675f, -1.8817152f, -2.2985265f, 2.3113675f,  0.4879764f,  -1.2987564f,
    2.2175772f,  3.0217752f,  -1.6286263f, -0.1845782f, 1.6930454f,  1.2781420f,  0.0972513f,
    -0.5157118f, 2.2304511f,  1.7217203f,  -0.6504266f, 1.5645326f,  -2.1740973f, -1.9425826f,
    -2.9709632f, -0.7614164f, 0.9778150f,  3.1251867f,  1.7634004f,  -0.0842932f, 2.4973130f,
    0.2363749f,  1.1437279f,  1.3554842f,  1.8541849f,  2.8915951f,  2.1994472f,  0.6783119f,
    -2.8236575f, -0.1467649f, 2.5504217f,  -0.4431567f, 0.0914016f,  -0.8415551f, 2.6518459f,
    1.5245796f,  1.8803936f,  3.1369970f,  0.3745902f,  1.2244349f,  -1.6037308f, 2.1398516f,
    -1.6411088f, -1.4242656f, -0.6284410f, -1.7611908f, 0.1531083f,  -2.5745530f, 2.1431444f,
    3.0411606f,  -1.2633430f, -2.4943213f, -0.5686562f, -1.6339835f, -0.9994913f, -1.8881437f,
    -2.4104645f, -2.8304904f, 1.3823556f,  -1.3238355f, -1.2279388f, -1.1780927f, -2.4402173f,
    -0.7872671f, -0.0126339f, -2.7095635f, 0.9528832f,  2.7752030f,  -1.9572701f, 0.6458705f,
    -0.3726903f, -2.0120323f, 0.8202659f,  0.1705843f,  -1.0977561f, -2.2711761f, -1.4649051f,
    1.1719604f,  0.2249063f,  0.5551167f,  -2.1156301f, -2.4672594f, -0.0039258f, 0.3170355f,
    0.8036268f,  0.9334565f,  -1.8125606f, -1.3423086f, 2.5677605f,  -1.7717973f, 2.7378428f,
    -1.4474301f, 1.3111196f,  2.3829577f,  -2.6054723f, -2.3269651f, -2.9215143f, 2.3734758f,
    -1.1798292f, -2.8411036f, 1.3586690f,  -1.8313447f, 1.3126314f,  -2.6920202f, 1.9968104f,
    -1.5517564f, 2.6744621f,  2.0348244f,  -1.8282799f, 1.2131112f,  0.1873241f,  1.3812264f,
    1.8296981f,  2.1616993f,  2.4219425f,  -1.1916568f, -0.8310741f, -2.3154500f, -2.7295256f,
    2.4144125f,  1.7531084f,  -0.2426306f, 1.5361778f,  2.1909363f,  2.1284933f,  -1.3553565f,
    -2.5487795f, 0.2905779f,  -2.5189352f, 1.5201268f,  -2.1474752f, 1.9436584f,  -3.1067564f,
    2.4184105f,  -2.3036578f, 0.8690016f,  -2.7771814f, 0.1727948f,  0.8925291f,  2.9541399f,
    1.3492627f,  -2.0697198f, 2.0180838f,  -0.8988354f, 2.5169742f,  -1.7558864f, -1.0732719f,
    2.2481210f,  -0.0276037f, 1.0425009f,  -1.6709812f, -1.6160409f, 2.9168651f,  2.1327207f,
    1.2037764f,  1.6758077f,  -3.0155606f, 1.8193157f,  -0.9312987f, -0.8467251f, -0.0429323f,
    -2.3195856f, -0.0900653f, -1.5117389f, -2.5305457f, 0.3917847f,  1.9690019f,  2.6189165f,
    2.2850168f,  -0.6692566f, -2.4782617f, -3.0087588f, -2.1120517f, -1.5337930f, 2.5546999f,
    2.3560286f,  1.6285813f,  -0.2291553f, 3.1260164f,  2.2647293f,  1.1499972f,  -3.0861592f,
    -2.7141428f, -2.3903463f, 1.7056158f,  2.8237898f,  1.5719819f,  -2.1973934f, -2.5671444f,
    -0.1055336f, 1.3124621f,  2.3123426f,  0.4260650f,  -2.8661733f, 0.4824688f,  -3.0127969f,
    -1.0139207f, 0.7414477f,  -0.4394291f, -0.3738244f, -1.6089391f, -1.9290185f, 0.2648874f,
    -1.0358217f, 0.3350690f,  0.9643256f,  0.0821407f,  -0.2249304f, 2.5682850f,  2.9811840f,
    0.5001083f,  1.5078219f,  -3.0926881f, 2.7303243f,  -2.6583264f, -0.2347471f, -0.9987329f,
    -0.7605140f, 1.8593004f,  1.8780173f,  -2.0616856f, 2.7838390f,  -2.3241136f, 1.0108696f,
    -1.4175792f, 1.4104326f,  -3.0918453f, -2.7115569f, 1.1657333f,  2.5917463f,  0.8813155f,
    -1.0910316f, 2.9114194f,  -0.3041672f, 2.7136819f,  -2.6813197f, 1.6626534f,  -2.9194994f,
    1.9597245f,  -0.9829971f, -1.0699400f, 2.6135459f,  1.5318902f,  -1.7079427f, -3.0503571f,
    1.8098571f,  0.9711736f,  -2.9048083f, -0.4782388f, 0.9066532f,  2.0260642f,  -2.7034571f,
    -2.3102925f, 0.6157974f,  0.7772394f,  1.1591365f,  -0.5888379f, -1.8837581f, 2.0653563f,
    2.9032888f,  -1.2988384f, 0.4929464f,  -2.0613666f, -1.2142469f, -2.1624062f, 0.7218689f,
    1.6943609f,  -1.1671797f, 1.4844851f,  1.8514179f,  0.8094211f,  -1.2190920f, -1.9604520f,
    0.2390091f,  3.0757899f,  -0.6108059f, -0.6596879f, 0.4986440f,  0.4906519f,  -1.9951098f,
    -2.8783920f, -2.6311722f, -2.7662220f, -1.3292435f, 2.5581553f,  1.0404474f,  0.5722584f,
    2.3408096f,  2.6859007f,  -0.9151888f, 1.8368164f,  2.9052279f,  1.5470870f,  -2.4530270f,
    -2.9853725f, -1.1371121f, 1.9259009f,  1.5545057f,  0.1719703f,  2.9749649f,  -0.1108665f,
    2.6631386f,  -0.8656032f, 2.6003249f,  -0.9649146f, -2.1183946f, -0.9272872f, -2.8905687f,
    -0.7302633f, 0.2022712f,  -1.2012070f, -1.9917418f, 0.9414360f,  -1.6759411f, -0.1371898f,
    1.1896874f,  1.7791504f,  2.4481843f,  -1.5000960f, -2.9912579f, -1.6442316f, -2.2989945f,
    -0.2812102f, -0.3296240f, -1.1286048f, -0.8357689f, 2.8937922f,  -2.8515134f, -0.3369728f,
    -0.4236706f, 1.0196958f,  -2.6945803f, -1.9833337f, 0.3091385f,  0.7854437f,  1.1323899f,
    -2.9076569f, -2.0175481f, 0.3981851f,  0.6464299f,  0.4934871f,  0.0273444f,  3.0208776f,
    0.3195487f,  1.0664082f,  2.3278844f,  -2.2486405f, -1.7134463f, -2.1466281f, 2.3432741f,
    2.7930005f,  -0.5889922f, -2.3512120f, -3.0412877f, -0.5538349f, -1.9547666f, 2.8447950f,
    1.9174210f,  -2.1403413f, -1.6276582f, 1.9566560f,  1.0903701f,  -1.1453513f, -0.7599157f,
    -1.5201516f, -2.6603117f, -2.7557583f, 1.7574652f,  -1.2458059f, -0.7105811f, -0.0979054f,
    -0.0549313f, 3.1377819f,  -1.0942219f, -0.9416120f, -1.4613492f, 0.5447553f,  2.0758841f,
    -1.3770843f, 0.3423443f,  -2.3856993f, -1.6683292f, 0.1252628f,  -0.4779157f, 0.8165983f,
    -0.1608982f, -1.5128504f, -2.5205176f, -1.4427626f, 1.0149622f,  0.6892049f,  2.9673877f,
    -1.7770272f, -1.1156754f, 1.5570335f,  0.3949372f,  0.2879984f,  -2.2794185f, -0.5180144f,
    -1.8775808f};
const FLOAT32 ia_hoa_search_grid_azimuths_2[900] = {
    0.0000000f,  0.0000000f,  -2.9621556f, 0.6712119f,  1.0189461f,  -1.9214492f, 2.1162436f,
    -3.0286946f, -2.6244586f, 1.7985622f,  -2.9922347f, -1.8676361f, -2.1493652f, 1.3539821f,
    -0.4308730f, -0.6731411f, -1.7986223f, 2.8287401f,  1.7370619f,  -2.9896739f, 3.0349975f,
    0.3473481f,  -1.1493471f, 3.0536797f,  0.3642891f,  -2.8249536f, -0.0480852f, -1.6430435f,
    -1.6609317f, 0.6470029f,  -2.1391985f, 1.4841309f,  1.6082025f,  -0.6233218f, 1.9215511f,
    0.1908340f,  0.0992576f,  -1.9985789f, 1.5129328f,  -0.4003442f, 2.5947235f,  2.9117033f,
    -0.3847356f, -0.1069352f, -3.0911121f, 0.4289672f,  3.0500910f,  2.9939122f,  -2.6416461f,
    2.5025492f,  -1.5676863f, -3.0829282f, 2.1704214f,  1.4805632f,  0.9289462f,  1.5868245f,
    -2.7404783f, 2.3714299f,  -2.9234951f, 1.0889649f,  0.1266647f,  2.7203178f,  -0.7077842f,
    -1.0541807f, -2.2719531f, -0.7177208f, -2.7041872f, -0.7527476f, 1.9717406f,  -0.2683365f,
    -0.1982352f, 2.4231844f,  2.9826543f,  0.9255009f,  1.7270207f,  0.5348827f,  -2.2902231f,
    -2.7741258f, -3.0416312f, -2.3331659f, 0.7401767f,  -2.8422632f, -0.8855604f, 2.9519203f,
    2.5053213f,  2.6685443f,  1.7403440f,  -0.9008423f, 0.0595758f,  2.5728812f,  2.7292154f,
    2.0601172f,  -1.8695196f, 1.6492525f,  2.1762526f,  1.2464595f,  1.9095626f,  -1.0341792f,
    1.1876297f,  -0.4296827f, -0.1151904f, 2.3168297f,  -1.2741596f, 3.0737131f,  -2.5510790f,
    2.4035664f,  -1.7685455f, 1.4155538f,  1.1379228f,  2.2637303f,  0.7075257f,  -0.4058034f,
    2.2100184f,  -1.3493522f, 0.4772883f,  2.2272491f,  3.0384429f,  -2.8531845f, 1.1335747f,
    0.2477274f,  3.1007042f,  1.5429492f,  1.8258140f,  -2.9947319f, -2.4810140f, -2.5985312f,
    -0.3481690f, -0.9052268f, -2.1506083f, 2.9671884f,  2.5251355f,  -3.0042999f, -1.6067514f,
    -0.1630915f, -1.5388441f, 0.2393561f,  0.9681925f,  -2.5666957f, -0.1392212f, 1.2727331f,
    -1.9242347f, -1.3115308f, -2.6060939f, 2.5040104f,  0.2292226f,  0.0350544f,  2.7262666f,
    2.6374407f,  -2.0803666f, -2.9800112f, 1.4147973f,  -1.8945265f, 1.4551988f,  -1.6949610f,
    2.5676346f,  2.1092041f,  -0.1779393f, 2.2443419f,  2.2562017f,  1.4050735f,  1.8250511f,
    1.1861143f,  -0.0733669f, 1.9867125f,  1.2220587f,  -1.1794151f, -1.0542347f, -0.7965057f,
    1.0495794f,  0.2395605f,  2.9350536f,  2.9860604f,  -2.0742393f, -0.7546474f, 1.1541576f,
    -3.0174863f, 1.8120354f,  -2.9506631f, -2.5125926f, 1.7055705f,  2.3945639f,  -2.3479948f,
    -2.0122097f, 0.0918295f,  -0.1025810f, -0.3191104f, -0.2104318f, 2.1963308f,  1.9946481f,
    1.1806431f,  -1.9291596f, -0.8584130f, 3.0313370f,  -3.0568371f, 0.7044064f,  -2.0110874f,
    -2.5338707f, 0.9656386f,  1.8271276f,  0.1522642f,  1.6814836f,  0.8186612f,  -2.7452483f,
    1.8088186f,  2.9504840f,  -1.0768940f, -1.6569778f, -2.3440144f, 2.3703806f,  -3.0068080f,
    -2.6441343f, -1.4709229f, 2.5157294f,  -2.8717926f, 0.5282455f,  -1.0103961f, -2.8287270f,
    1.4241253f,  1.3814243f,  -0.0498757f, 0.3244370f,  2.4960854f,  -0.6825921f, -0.5773130f,
    -1.1218672f, -1.5246513f, -0.1570453f, 0.7717321f,  -1.4842316f, -0.9096667f, 0.0981898f,
    1.3870467f,  -2.3795414f, 2.5446262f,  -3.1175985f, 1.6727151f,  1.7158747f,  1.0063837f,
    -2.0828197f, -2.2551031f, -1.1327082f, -2.3310876f, 1.2356670f,  1.3526597f,  1.3505737f,
    1.6041888f,  -2.3494720f, -2.3400590f, 1.4774110f,  -1.1799235f, -0.0037307f, 1.5512792f,
    0.6251679f,  0.4334079f,  0.7110938f,  -0.0593346f, 3.1056516f,  -1.7282606f, -2.9028111f,
    -1.8878224f, -1.9690191f, 2.7447155f,  -1.4290752f, -1.1451020f, 2.9178224f,  0.6625047f,
    0.6998018f,  1.9178356f,  -2.1566477f, 0.7319855f,  -2.7816460f, 0.5974669f,  -1.4652871f,
    -0.0339523f, -0.9577984f, -2.4667990f, -2.2475903f, -0.5156240f, 0.4201086f,  2.0910444f,
    1.9777402f,  -1.0948803f, -0.1400111f, 1.0167139f,  1.2905793f,  0.9802193f,  0.4537658f,
    -2.0958419f, 1.8225225f,  -2.6839087f, -2.4681823f, -0.8511987f, 2.4782190f,  1.2669178f,
    -1.5141035f, -2.9009616f, -2.1696424f, 2.1711164f,  -0.2556772f, 0.0330613f,  1.5125172f,
    1.5469300f,  2.7925797f,  -1.8918589f, 2.3943005f,  -0.3857676f, -0.8010523f, 0.4715990f,
    2.8198273f,  1.6710373f,  -1.7337140f, -2.0137987f, 2.8581276f,  1.8680123f,  1.7972687f,
    1.6066670f,  1.6870368f,  -1.2789304f, 1.1405129f,  0.6693221f,  1.4639730f,  -1.7655303f,
    2.0657189f,  -1.7723463f, -2.8449759f, -0.7402708f, 0.4412463f,  1.7403910f,  2.8439679f,
    -2.6813302f, -2.2372885f, -0.9964033f, -1.2113369f, -2.4390216f, -1.1528078f, -1.6494623f,
    2.0298219f,  -1.5499312f, -0.6996611f, 2.8011794f,  -1.5258681f, 1.0447615f,  -1.1192210f,
    -0.5961949f, -2.3122027f, -2.0686169f, -1.9389216f, -1.7155573f, -1.9621905f, 2.4777291f,
    0.0867668f,  1.8894092f,  2.1688263f,  2.4901292f,  2.2109747f,  2.8104818f,  2.1220212f,
    1.2730304f,  0.8295454f,  1.8182607f,  -0.9829528f, -2.9279971f, 1.2393663f,  2.9013324f,
    2.7599571f,  -0.5107575f, 2.0459137f,  -1.8211457f, -2.1826606f, -1.7796613f, -2.7104776f,
    -2.1592064f, 0.1906685f,  1.0691926f,  2.7875154f,  1.1434764f,  -1.8621975f, -2.0475359f,
    1.6396484f,  0.1975571f,  0.2423251f,  1.6064860f,  2.4553368f,  -2.7201798f, 2.6364748f,
    2.1245494f,  -1.8347508f, -1.3670460f, 1.5211493f,  -0.9155072f, 1.5395775f,  -1.3912413f,
    2.4112761f,  -2.9325421f, -2.1619439f, -2.5843220f, -1.4999543f, -2.1412551f, 2.0611115f,
    -1.1146139f, 1.9969302f,  -0.5463315f, -0.0022142f, 2.6509712f,  -1.5107578f, 2.6039543f,
    0.2901013f,  0.4899048f,  -0.6545343f, -2.9287486f, 0.7581370f,  -1.2459188f, 1.3251618f,
    1.6136910f,  -0.9046756f, -3.1376555f, 2.3810606f,  -0.2945606f, -2.4350977f, -0.1146774f,
    0.5581317f,  -2.3725910f, -0.7798514f, 1.8892344f,  1.6173823f,  -3.1150293f, -0.7939893f,
    2.5431969f,  2.1833303f,  -1.3316237f, 2.3385596f,  -0.3241738f, -2.5931344f, -1.2129527f,
    -0.8932132f, -1.6743081f, -2.8092282f, -2.8333614f, -0.4077959f, -2.8613544f, -0.2570746f,
    -0.1614044f, -0.2270292f, 0.7967673f,  1.8200183f,  1.7836097f,  1.4630580f,  1.0110953f,
    0.3023635f,  0.0411820f,  0.8587466f,  -0.2809867f, 2.9190357f,  0.1397218f,  -0.5481869f,
    -1.7665007f, -2.4070807f, -0.9513861f, 1.2197435f,  0.4153463f,  0.8160601f,  -2.1722021f,
    -0.5477923f, 0.5406688f,  -1.5585090f, 0.5509049f,  -3.1278844f, 2.9434032f,  2.6704769f,
    -1.3849658f, -0.1911324f, -0.5272517f, -3.0928960f, -1.1383078f, 3.0902002f,  0.7256863f,
    1.1535906f,  -0.5164228f, -0.2194772f, 1.0034701f,  0.7508088f,  3.0308149f,  2.6908715f,
    -2.4618435f, 2.2737718f,  -2.9604824f, -2.8167622f, -0.4188310f, 0.9448665f,  -2.4487593f,
    -0.3929589f, -1.3611500f, -0.2369002f, -2.4744055f, 1.0342747f,  -2.5184300f, 0.9443317f,
    -0.8052477f, 1.3494692f,  -1.2457007f, -0.7530811f, 2.0575929f,  2.3099079f,  -1.3791896f,
    -1.4715908f, -0.0338141f, -1.4460536f, -1.3474485f, -1.7247313f, -1.4607116f, 2.2688718f,
    0.4467491f,  0.0365267f,  0.1711247f,  -1.3374940f, 2.1510901f,  2.0708320f,  -2.1350026f,
    -2.8420179f, -2.0194173f, 1.9020720f,  -1.8492198f, 2.2610748f,  0.7794133f,  -0.4950621f,
    -1.8215476f, -2.5192647f, 2.6606934f,  -2.6653972f, 0.0621546f,  1.5310926f,  0.3550144f,
    -1.4800208f, -2.9924488f, -1.9891371f, -2.3384838f, -0.6337269f, 2.3579168f,  2.1242821f,
    -0.2024404f, 1.9944953f,  -2.0810580f, 2.0767207f,  -1.2774467f, -1.5099412f, -2.7528176f,
    1.1733600f,  0.9121475f,  3.0294166f,  1.2860096f,  0.2880494f,  2.7918315f,  -1.4260820f,
    2.6962583f,  3.0092597f,  -1.5571409f, -2.8177216f, -1.2310014f, 0.7329686f,  2.8450477f,
    -2.3469765f, -3.0241756f, -3.0554218f, 2.8048079f,  1.0934832f,  -2.8950250f, -0.8578019f,
    1.1395748f,  -1.7125599f, -2.6352887f, -2.2106376f, 2.8804939f,  -1.9704117f, 2.6779683f,
    2.7903595f,  0.2059371f,  -2.2272258f, -1.0070475f, -0.5328611f, 0.9072319f,  -1.6260170f,
    -1.1999494f, 2.3372996f,  0.3297458f,  -1.8061820f, -2.1476877f, -1.9927566f, -2.7370014f,
    -2.2958455f, -1.6855892f, 3.0114911f,  -1.1362666f, -3.1312931f, 1.8598441f,  1.4173754f,
    -3.0598049f, -2.9581628f, -1.4012434f, -0.0186331f, -0.9213309f, 0.8023074f,  -1.6837299f,
    0.9108125f,  2.2715983f,  -0.0639410f, -0.4876022f, -0.7721944f, -0.7052447f, 0.6850321f,
    2.2657878f,  -0.6369643f, 1.0266343f,  3.1307034f,  2.4563301f,  0.8567102f,  1.1421138f,
    0.9682178f,  1.4181217f,  -0.3872728f, -2.5526693f, 0.8868837f,  -2.8411944f, 2.2687304f,
    -0.7198317f, 0.8501385f,  2.3058760f,  2.2835040f,  -1.8582230f, 1.6727976f,  1.6361516f,
    -1.8766607f, 0.6126441f,  -0.8766649f, -2.9992437f, -1.1307234f, 1.9279965f,  0.6649165f,
    0.2285609f,  1.4852695f,  -2.3526640f, -0.8365939f, 0.7756840f,  2.9821296f,  2.8687611f,
    -1.2793889f, -0.6426615f, -0.4076605f, 1.2936795f,  0.5498811f,  0.3545996f,  1.2895192f,
    2.7775669f,  -2.2147524f, 0.4764812f,  -2.7080877f, -1.2044531f, 0.6708660f,  -0.9361150f,
    1.8065248f,  -1.6814007f, -2.1744854f, 1.7407316f,  -0.6193098f, 0.8759022f,  -1.0343668f,
    -1.7000344f, -0.5172932f, -2.1600881f, -0.4005939f, 2.3118811f,  -0.7301624f, -3.0847380f,
    -1.6155808f, -1.6508797f, 0.2955432f,  1.8671266f,  2.4846199f,  -1.5604509f, 2.5056770f,
    0.0652053f,  2.7669394f,  0.8966709f,  0.7983233f,  -0.4621206f, 2.5908456f,  1.2585427f,
    -0.5132227f, -1.3213055f, -2.6237688f, -1.0836465f, 0.5665124f,  1.7339911f,  1.7522680f,
    1.5813588f,  -0.3358279f, 0.3323729f,  1.5287300f,  -1.4399107f, 0.9401330f,  1.3476198f,
    -0.2308589f, 1.9450448f,  0.2776006f,  0.3138323f,  -0.0857629f, -0.3408014f, -2.6643765f,
    2.1151519f,  1.1568006f,  -0.9315372f, -0.9566725f, 2.5604675f,  -2.8047750f, -1.7424628f,
    2.8908572f,  -2.8715215f, 2.5559978f,  2.0287032f,  2.6348002f,  -0.6760348f, -2.2002120f,
    -1.8254989f, -1.6034662f, 1.3713328f,  0.6399087f,  1.7786300f,  0.5484148f,  -1.9490960f,
    -0.7887272f, -0.4197802f, -2.5547757f, -2.2386122f, -2.8296177f, -2.2271709f, 0.1459418f,
    -0.3293432f, -2.6000283f, 2.6819837f,  2.2777443f,  -2.4727602f, -1.1185941f, -1.9272422f,
    -0.1153407f, 1.3537349f,  1.5363157f,  -1.0978405f, 2.2750413f,  -2.5753007f, 1.0675262f,
    0.3396291f,  0.1433987f,  0.4049179f,  -2.3566015f, 0.6531299f,  -0.2684217f, 0.7259421f,
    3.1032147f,  -2.0962207f, 1.9203233f,  1.6039979f,  -2.0727630f, -2.1147244f, -1.3865631f,
    1.3176883f,  -1.2367904f, 0.4510556f,  -1.0389020f, 1.4459330f,  -1.8204863f, -0.7624360f,
    1.1834686f,  -0.9701460f, 0.4171699f,  -1.6130902f, -1.9232389f, 0.1452438f,  2.6749470f,
    -2.0482032f, -0.8674458f, 3.1317492f,  -1.3416415f, -0.4580652f, -0.9296650f, -0.1905256f,
    1.9436014f,  0.2659448f,  0.8808349f,  -0.2420818f, 0.9864611f,  -0.0026308f, -3.1042607f,
    -0.6401783f, 0.2731030f,  -2.3728139f, -1.0186484f, -2.5621963f, 0.5674933f,  2.8520651f,
    -0.4558132f, 2.6183634f,  -1.2747756f, 2.9259126f,  0.5373848f,  -0.8177360f, -2.7789791f,
    -1.7473937f, 0.3840996f,  -0.0047779f, 2.0017996f,  -2.4708545f, 2.7872226f,  1.9565856f,
    -0.4547402f, 1.1440425f,  2.5356412f,  0.8617512f,  -2.6844938f, 0.5565918f,  2.0222290f,
    2.6428473f,  -0.3416082f, 2.3493993f,  -0.8271208f, -0.6340614f, 2.6430933f,  0.1124187f,
    1.4187104f,  1.1384798f,  -0.1959954f, 1.1409595f,  -0.6250677f, 0.3651259f,  -0.2836915f,
    -1.7664272f, 0.6051600f,  2.6757832f,  1.0902567f,  0.0624617f,  0.4699986f,  -1.3009514f,
    1.7453933f,  0.5563517f,  -1.2816237f, -0.5841744f, -1.4276056f, 3.1287110f,  -1.5244404f,
    -1.5417221f, -2.6045647f, 0.5758533f,  2.9587677f,  -2.4329605f, -2.4903045f, -2.3991563f,
    2.4380112f,  -0.1593139f, 0.0122411f,  2.2535841f,  1.2241135f,  2.9538176f,  0.7337042f,
    -3.1113698f, -1.1517485f, 0.9385100f,  1.6833634f,  0.6579855f,  -0.3916693f, -2.2719052f,
    0.1142000f,  -2.7208283f, -2.0061378f, 2.1209872f,  0.1816277f,  -0.6560218f, 2.9098959f,
    -2.5155492f, 2.2283261f,  3.1393816f,  -1.2380706f, 0.0844398f,  -0.9358887f, -1.0308990f,
    -0.8752498f, 2.7910237f,  -0.5758729f, 0.2706734f,  0.8782147f,  -0.5104005f, -2.2460356f,
    -2.4283016f, 0.4236032f,  2.3442757f,  2.4112680f,  -1.2763126f, 2.0040915f,  0.2157609f,
    1.6759142f,  -1.4106351f, 1.2472886f,  -0.0843995f};

const FLOAT32 *ia_hoa_search_grid_azimuths[3] = {&ia_hoa_search_grid_azimuths_0[0],
                                                 &ia_hoa_search_grid_azimuths_1[0],
                                                 &ia_hoa_search_grid_azimuths_2[0]};

// const FLOAT32 ia_hoa_nf_roots_re_abs[] = {
//    -2.0000000f, -3.0000000f, 3.4641016f,   -3.6778146f, 5.0830828f,   -4.6443707f,
//    -4.2075787f, 6.7787315f,  -5.7924212f,  6.0465298f,  -4.6493486f,  8.5220456f,
//    -6.7039127f, 7.5557873f,  -7.2934771f,  -5.0318644f, 10.2983543f,  -7.4714167f,
//    9.1329783f,  -8.4967187f, 8.6720541f,   -5.3713537f, 12.0990553f,  -8.1402783f,
//    10.7585400f, -9.5165810f, 10.1324122f,  -9.9435737f, -5.6779678f,  13.9186233f,
//    -8.7365784f, 12.4208298f, -10.4096815f, 11.6507064f, -11.1757720f, 11.3096817f};
/** @} */ /* End of HOAROM */